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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>The least common multiple is the smallest common multiple of any number. Do you know how we use it in our daily life? We use LCM in our daily life to predict or schedule any events. In this article, Let’s check out some methods to calculate the LCM of 3 and 13</p>
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<p>The least common multiple is the smallest common multiple of any number. Do you know how we use it in our daily life? We use LCM in our daily life to predict or schedule any events. In this article, Let’s check out some methods to calculate the LCM of 3 and 13</p>
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<h2>What is the LCM of 3 and 13</h2>
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<h2>What is the LCM of 3 and 13</h2>
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<p>The LCM of 3 and 13 is 39. How did we get to this answer, though? That’s what we’re going to learn. We also see how we can find the LCM of 2 or more<a>numbers</a>in different ways. </p>
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<p>The LCM of 3 and 13 is 39. How did we get to this answer, though? That’s what we’re going to learn. We also see how we can find the LCM of 2 or more<a>numbers</a>in different ways. </p>
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<h2>How to find the LCM of 3 and 13</h2>
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<h2>How to find the LCM of 3 and 13</h2>
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<p>We have already read about how you can approach finding the LCM of 2 or more numbers. Here is a list of those methods which make it easy to find the LCMs:</p>
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<p>We have already read about how you can approach finding the LCM of 2 or more numbers. Here is a list of those methods which make it easy to find the LCMs:</p>
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<p><strong>Method 1:</strong>Listing of Multiples<strong>Method 2:</strong>Prime Factorization<strong>Method 3:</strong>Division Method</p>
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<p><strong>Method 1:</strong>Listing of Multiples<strong>Method 2:</strong>Prime Factorization<strong>Method 3:</strong>Division Method</p>
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<p>Now let us delve further into these three methods and how it benefits us. </p>
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<p>Now let us delve further into these three methods and how it benefits us. </p>
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<h3>LCM of 3 and 13 Using Listing the Multiples</h3>
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<h3>LCM of 3 and 13 Using Listing the Multiples</h3>
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<p>In this method, we will list all the<a>multiples</a>of 3 and 13. Then we will try to find a multiple that is present in both numbers.</p>
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<p>In this method, we will list all the<a>multiples</a>of 3 and 13. Then we will try to find a multiple that is present in both numbers.</p>
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<p>For example,</p>
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<p>For example,</p>
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<p>Multiples of 3: 3, 6, 9, ……, 30, 33, 39 Multiples of 13: 13, 26, 39, 52</p>
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<p>Multiples of 3: 3, 6, 9, ……, 30, 33, 39 Multiples of 13: 13, 26, 39, 52</p>
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<p>The LCM of 3 and 13 is 39. 39 is the smallest number which can be divisible by both 3 and 13. </p>
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<p>The LCM of 3 and 13 is 39. 39 is the smallest number which can be divisible by both 3 and 13. </p>
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<h3>LCM of 3 and 13 Using Prime Factorization</h3>
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<h3>LCM of 3 and 13 Using Prime Factorization</h3>
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<p>To find the LCM of 3 and 13 using the<a>prime factorization</a>method, we need to find out the prime<a>factors</a>of both the numbers. Then multiply the highest<a>powers</a>of the factors to get the LCM.</p>
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<p>To find the LCM of 3 and 13 using the<a>prime factorization</a>method, we need to find out the prime<a>factors</a>of both the numbers. Then multiply the highest<a>powers</a>of the factors to get the LCM.</p>
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<p>Prime Factors of 3 = 31 Prime Factors of 13 = 131</p>
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<p>Prime Factors of 3 = 31 Prime Factors of 13 = 131</p>
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<p>Multiply the highest power of both the factors: 31 × 131 = 39</p>
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<p>Multiply the highest power of both the factors: 31 × 131 = 39</p>
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<p>Therefore, the LCM of 3 and 13 is 39. </p>
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<p>Therefore, the LCM of 3 and 13 is 39. </p>
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<h3>LCM of 3 and 13 Using Division method</h3>
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<h3>LCM of 3 and 13 Using Division method</h3>
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<p>To calculate the LCM using the<a>division</a>method. We will divide the given numbers with their<a>prime numbers</a>. The prime numbers should at least divide any one of the given numbers. Divide the numbers till the<a>remainder</a>becomes 1. By multiplying the prime factors, one can get LCM.</p>
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<p>To calculate the LCM using the<a>division</a>method. We will divide the given numbers with their<a>prime numbers</a>. The prime numbers should at least divide any one of the given numbers. Divide the numbers till the<a>remainder</a>becomes 1. By multiplying the prime factors, one can get LCM.</p>
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<p>For finding the LCM of 3 and 13 we will use the following method.</p>
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<p>For finding the LCM of 3 and 13 we will use the following method.</p>
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<p>By multiplying the prime divisors from the table, we will get the LCM of 3 and 13. 3 × 13 =39.</p>
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<p>By multiplying the prime divisors from the table, we will get the LCM of 3 and 13. 3 × 13 =39.</p>
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<p>The LCM of 3 and 13 is 39.</p>
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<p>The LCM of 3 and 13 is 39.</p>
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<h2>Common Mistakes and How to Avoid Them in LCM of 3 and 13</h2>
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<h2>Common Mistakes and How to Avoid Them in LCM of 3 and 13</h2>
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<p>Mistakes are common when we are finding the LCM of numbers. By learning the following common mistakes, we can avoid the mistakes. </p>
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<p>Mistakes are common when we are finding the LCM of numbers. By learning the following common mistakes, we can avoid the mistakes. </p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>If Bob is planning to schedule his monthly activities. He wants to repeat one activity every 3 days and the other every 13 days. On which both activities will coincide?</p>
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<p>If Bob is planning to schedule his monthly activities. He wants to repeat one activity every 3 days and the other every 13 days. On which both activities will coincide?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>To find the day when activity coincides, we need to find the LCM of 3 and 13.</p>
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<p>To find the day when activity coincides, we need to find the LCM of 3 and 13.</p>
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<p>LCM of 3 and 3 = product of the highest power of the prime factors.</p>
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<p>LCM of 3 and 3 = product of the highest power of the prime factors.</p>
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<p>The prime factors of 3 = 31 The prime factor of 13 = 131 The LCM = 31 × 131 = 39 </p>
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<p>The prime factors of 3 = 31 The prime factor of 13 = 131 The LCM = 31 × 131 = 39 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>So, at every 39 days, both the activities will coincide. </p>
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<p>So, at every 39 days, both the activities will coincide. </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>At station A, the train arrives at every 13 mins and the bus at every 3 mins from 12 pm. So at which time both the train and bus are together?</p>
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<p>At station A, the train arrives at every 13 mins and the bus at every 3 mins from 12 pm. So at which time both the train and bus are together?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The train arrives the station at every 13 mins</p>
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<p>The train arrives the station at every 13 mins</p>
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<p>The bus arrives the station at every 3 mins</p>
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<p>The bus arrives the station at every 3 mins</p>
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<p>The time the train and bus arrive together will be the LCM of 3 and 13</p>
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<p>The time the train and bus arrive together will be the LCM of 3 and 13</p>
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<p>The LCM of 3 and 13 is 39. </p>
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<p>The LCM of 3 and 13 is 39. </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Therefore, at 12:39 pm, both the bus and train come together. </p>
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<p>Therefore, at 12:39 pm, both the bus and train come together. </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>Two professors take a lecture in the same classroom. One professor uses the classroom every 3 days and the other professor takes classes every 13days. How many days will it take both professors to use the classroom on the same day?</p>
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<p>Two professors take a lecture in the same classroom. One professor uses the classroom every 3 days and the other professor takes classes every 13days. How many days will it take both professors to use the classroom on the same day?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The first professor takes class: 3 days</p>
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<p>The first professor takes class: 3 days</p>
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<p>The second professor takes class: 13 days </p>
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<p>The second professor takes class: 13 days </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>They both will end up taking class in the same classroom on the same day:3 x 13 = 39 days </p>
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<p>They both will end up taking class in the same classroom on the same day:3 x 13 = 39 days </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>Two events happen in cycles. One cycle happens every 3 days and the other cycle happens every 13 days. After how many days will both cycles occur on the same day?</p>
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<p>Two events happen in cycles. One cycle happens every 3 days and the other cycle happens every 13 days. After how many days will both cycles occur on the same day?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The first cycle takes place every: 3 days</p>
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<p>The first cycle takes place every: 3 days</p>
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<p>The second cycle takes place every: 13 days </p>
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<p>The second cycle takes place every: 13 days </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>So both cycles will occur on the same day in : 3 x 13 = 39 days </p>
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<p>So both cycles will occur on the same day in : 3 x 13 = 39 days </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<h3>Problem 5</h3>
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<p>A mall hosts two events, the first event is held every 3 days and the second event is held every 13 days. If both events are happening at the same time today. Then after how many days will both events happen on the same day again?</p>
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<p>A mall hosts two events, the first event is held every 3 days and the second event is held every 13 days. If both events are happening at the same time today. Then after how many days will both events happen on the same day again?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The first event happens every: 3 days</p>
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<p>The first event happens every: 3 days</p>
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<p>The second event happens every: 13 days</p>
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<p>The second event happens every: 13 days</p>
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<p>So both events will happen on the same day again after 3 x 13 = 39 days </p>
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<p>So both events will happen on the same day again after 3 x 13 = 39 days </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on Least Common Multiple of 3 and 13.</h2>
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<h2>FAQs on Least Common Multiple of 3 and 13.</h2>
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<h3>1.What are the ways to calculate LCM?</h3>
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<h3>1.What are the ways to calculate LCM?</h3>
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<p>There are different ways to calculate LCM, listing the multiples, prime factorization, and division methods are some common methods used to calculate the LCM. </p>
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<p>There are different ways to calculate LCM, listing the multiples, prime factorization, and division methods are some common methods used to calculate the LCM. </p>
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<h3>2.List down the first five multiples of 3 and 13?</h3>
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<h3>2.List down the first five multiples of 3 and 13?</h3>
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<p>The first five multiples of 3 are 3, 6, 9, 12, 15 The first five multiples of 13 are 13, 26, 39, 52, 65 </p>
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<p>The first five multiples of 3 are 3, 6, 9, 12, 15 The first five multiples of 13 are 13, 26, 39, 52, 65 </p>
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<h3>3.Calculate the LCM of 3 and 14?</h3>
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<h3>3.Calculate the LCM of 3 and 14?</h3>
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<p>Prime factors of 3 is 31 Prime factor of 14 is 21 × 71 The LCM of 3 and 14 = 31 × 21 × 71 = 3 × 2 × 7 =42 The LCM of 3 and 14 is 42 </p>
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<p>Prime factors of 3 is 31 Prime factor of 14 is 21 × 71 The LCM of 3 and 14 = 31 × 21 × 71 = 3 × 2 × 7 =42 The LCM of 3 and 14 is 42 </p>
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<h2>Important Glossaries for LCM of 3 and 13</h2>
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<h2>Important Glossaries for LCM of 3 and 13</h2>
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<p><strong>Prime Number:</strong>Any number that has only 2 factors is called a prime number.For 5 and 7, only common factors are 1 and the number itself.</p>
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<p><strong>Prime Number:</strong>Any number that has only 2 factors is called a prime number.For 5 and 7, only common factors are 1 and the number itself.</p>
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<p><strong>Composite Number:</strong>Any number that has more than 2 factors is called a composite number. For example, 4,8 and 10. </p>
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<p><strong>Composite Number:</strong>Any number that has more than 2 factors is called a composite number. For example, 4,8 and 10. </p>
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<p><strong>Prime Factorization:</strong>It is breaking down a number into smaller prime numbers, then multiplied together, giving the same number. </p>
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<p><strong>Prime Factorization:</strong>It is breaking down a number into smaller prime numbers, then multiplied together, giving the same number. </p>
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<p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
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<p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
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<p>▶</p>
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<p>▶</p>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
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<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: She loves to read number jokes and games.</p>
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<p>: She loves to read number jokes and games.</p>