1 added
2 removed
Original
2026-01-01
Modified
2026-02-28
1
-
<p>303 Learners</p>
1
+
<p>324 Learners</p>
2
<p>Last updated on<strong>August 5, 2025</strong></p>
2
<p>Last updated on<strong>August 5, 2025</strong></p>
3
<p>Least Common Multiple (LCM) is the smallest positive integer that is divisible by both 10 and 16. By learning the following tricks, you can learn the LCM of 10 and 16 easily.</p>
3
<p>Least Common Multiple (LCM) is the smallest positive integer that is divisible by both 10 and 16. By learning the following tricks, you can learn the LCM of 10 and 16 easily.</p>
4
<h2>What Is the LCM of 10 and 16?</h2>
4
<h2>What Is the LCM of 10 and 16?</h2>
5
<p>The LCM of 10 and 16 is 80. 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>
5
<p>The LCM of 10 and 16 is 80. 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>
6
<h2>How to find the LCM of 10 and 16?</h2>
6
<h2>How to find the LCM of 10 and 16?</h2>
7
<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>
7
<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>
8
<p>Method 1: Listing of Multiples Method 2: Prime Factorization Method 3: Division Method</p>
8
<p>Method 1: Listing of Multiples Method 2: Prime Factorization Method 3: Division Method</p>
9
<p>Now let us delve further into these three methods and how it benefits us. </p>
9
<p>Now let us delve further into these three methods and how it benefits us. </p>
10
<h3>LCM of 10 and 16 Using Listing of Multiples Method</h3>
10
<h3>LCM of 10 and 16 Using Listing of Multiples Method</h3>
11
<p>In this method, we will list all the<a>multiples</a>of 10 and 16. Then we will try to find a multiple that is present in both numbers.</p>
11
<p>In this method, we will list all the<a>multiples</a>of 10 and 16. Then we will try to find a multiple that is present in both numbers.</p>
12
<p>For example, </p>
12
<p>For example, </p>
13
<p>Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100,…</p>
13
<p>Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100,…</p>
14
<p>Multiples of 16: 16,32,48,64,80,96,112,128,144,160,…</p>
14
<p>Multiples of 16: 16,32,48,64,80,96,112,128,144,160,…</p>
15
<p>The LCM of 10 and 16 is 80. 80 is the smallest number which can be divisible by both 10 and 16. </p>
15
<p>The LCM of 10 and 16 is 80. 80 is the smallest number which can be divisible by both 10 and 16. </p>
16
<h3>Explore Our Programs</h3>
16
<h3>Explore Our Programs</h3>
17
-
<p>No Courses Available</p>
18
<h3>LCM of 10 and 16 Using Prime Factorization</h3>
17
<h3>LCM of 10 and 16 Using Prime Factorization</h3>
19
<p>To find the LCM of 10 and 16 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>
18
<p>To find the LCM of 10 and 16 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>
20
<p>Prime Factors of 10 are: 21 × 51.</p>
19
<p>Prime Factors of 10 are: 21 × 51.</p>
21
<p>Prime Factors of 16 are: 24.</p>
20
<p>Prime Factors of 16 are: 24.</p>
22
<p>Multiply the highest power of both the factors: 24 × 51 = 2 × 2 × 2 × 2 × 5 = 80</p>
21
<p>Multiply the highest power of both the factors: 24 × 51 = 2 × 2 × 2 × 2 × 5 = 80</p>
23
<p>Therefore, the LCM of 10 and 16 is 80. </p>
22
<p>Therefore, the LCM of 10 and 16 is 80. </p>
24
<h3>LCM of 10 and 16 Using Division Method</h3>
23
<h3>LCM of 10 and 16 Using Division Method</h3>
25
<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>
24
<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>
26
<p>For finding the LCM of 10 and 16 we will use the following method.</p>
25
<p>For finding the LCM of 10 and 16 we will use the following method.</p>
27
<p>By multiplying the prime divisors from the table, we will get the LCM of 10 and 16.</p>
26
<p>By multiplying the prime divisors from the table, we will get the LCM of 10 and 16.</p>
28
<p>2 × 2 × 2 × 2 × 5 = 80. The LCM of 10 and 16 is 80</p>
27
<p>2 × 2 × 2 × 2 × 5 = 80. The LCM of 10 and 16 is 80</p>
29
<h2>Common Mistakes and How to Avoid Them in LCM of 10 and 16.</h2>
28
<h2>Common Mistakes and How to Avoid Them in LCM of 10 and 16.</h2>
30
<p>Mistakes are common when we are finding the LCM of numbers. By learning the following common mistakes, we can avoid the mistakes. </p>
29
<p>Mistakes are common when we are finding the LCM of numbers. By learning the following common mistakes, we can avoid the mistakes. </p>
31
<h3>Problem 1</h3>
30
<h3>Problem 1</h3>
32
<p>Two pipes fill a tank. Pipe A fills it in 10 minutes, and Pipe B in 16 minutes.If both pipes are opened at the same time, how long will it take for them to fill the tank together?</p>
31
<p>Two pipes fill a tank. Pipe A fills it in 10 minutes, and Pipe B in 16 minutes.If both pipes are opened at the same time, how long will it take for them to fill the tank together?</p>
33
<p>Okay, lets begin</p>
32
<p>Okay, lets begin</p>
34
<p>LCM of 10 and 16 is 80. </p>
33
<p>LCM of 10 and 16 is 80. </p>
35
<p>Calculate the rate at which each tank is filled by the pipes </p>
34
<p>Calculate the rate at which each tank is filled by the pipes </p>
36
<p>Pipe A's rate: 1/10 per minute. Pipe B's rate: 1/16 per minute.</p>
35
<p>Pipe A's rate: 1/10 per minute. Pipe B's rate: 1/16 per minute.</p>
37
<p>Combined rate: 1/10 + 1/16 = (8+5) / 80 = 13/80</p>
36
<p>Combined rate: 1/10 + 1/16 = (8+5) / 80 = 13/80</p>
38
<p>Time to fill the tank: 80/13 ≈ 6.15 minutes. </p>
37
<p>Time to fill the tank: 80/13 ≈ 6.15 minutes. </p>
39
<h3>Explanation</h3>
38
<h3>Explanation</h3>
40
<p>The LCM helps determine a common time interval. By using rates and combining them, we get the total time to complete the task. </p>
39
<p>The LCM helps determine a common time interval. By using rates and combining them, we get the total time to complete the task. </p>
41
<p>Well explained 👍</p>
40
<p>Well explained 👍</p>
42
<h3>Problem 2</h3>
41
<h3>Problem 2</h3>
43
<p>Calculate the number of cycles when two rotating gears A and B, with rotations every 10 and 16 seconds respectively, will align. Use the formula Number of cycles=LCM/Rotation Time.</p>
42
<p>Calculate the number of cycles when two rotating gears A and B, with rotations every 10 and 16 seconds respectively, will align. Use the formula Number of cycles=LCM/Rotation Time.</p>
44
<p>Okay, lets begin</p>
43
<p>Okay, lets begin</p>
45
<p>LCM (10,16) = 80</p>
44
<p>LCM (10,16) = 80</p>
46
<p>Cycles for Gear A to complete alignment: 80 / 10 = 8</p>
45
<p>Cycles for Gear A to complete alignment: 80 / 10 = 8</p>
47
<p>Cycles for Gear B to complete alignment: 80 / 16 = 5 </p>
46
<p>Cycles for Gear B to complete alignment: 80 / 16 = 5 </p>
48
<h3>Explanation</h3>
47
<h3>Explanation</h3>
49
<p> This uses the formula by applying the LCM as the period of alignment. The division yields each gear's cycles until alignment. </p>
48
<p> This uses the formula by applying the LCM as the period of alignment. The division yields each gear's cycles until alignment. </p>
50
<p>Well explained 👍</p>
49
<p>Well explained 👍</p>
51
<h3>Problem 3</h3>
50
<h3>Problem 3</h3>
52
<p>A marathon track has two checkpoints, C and D. Runners cross checkpoint C every 10 minutes and checkpoint D every 16 minutes. If a runner crosses both checkpoints together every ___ minutes, find the missing time.</p>
51
<p>A marathon track has two checkpoints, C and D. Runners cross checkpoint C every 10 minutes and checkpoint D every 16 minutes. If a runner crosses both checkpoints together every ___ minutes, find the missing time.</p>
53
<p>Okay, lets begin</p>
52
<p>Okay, lets begin</p>
54
<p>LCM (10,16) = 80 Thus, the missing time is 80 minutes. </p>
53
<p>LCM (10,16) = 80 Thus, the missing time is 80 minutes. </p>
55
<h3>Explanation</h3>
54
<h3>Explanation</h3>
56
<p>The problem involves determining a common interval for crossing both checkpoints. By calculating the LCM, we find that both checkpoints align every 80 minutes. </p>
55
<p>The problem involves determining a common interval for crossing both checkpoints. By calculating the LCM, we find that both checkpoints align every 80 minutes. </p>
57
<p>Well explained 👍</p>
56
<p>Well explained 👍</p>
58
<h2>FAQs on the LCM of 10 and 16</h2>
57
<h2>FAQs on the LCM of 10 and 16</h2>
59
<h3>1. Is 10 a prime number?</h3>
58
<h3>1. Is 10 a prime number?</h3>
60
<p>No, 10 is not a prime number. Because it has more than two factors. </p>
59
<p>No, 10 is not a prime number. Because it has more than two factors. </p>
61
<h3>2. What is the GCF of 10 and 16?</h3>
60
<h3>2. What is the GCF of 10 and 16?</h3>
62
<p>Factors of 10 = 1,2,5,10 Factors of 16 = 1,2,4,8,16 GCF (10,16) = 2 </p>
61
<p>Factors of 10 = 1,2,5,10 Factors of 16 = 1,2,4,8,16 GCF (10,16) = 2 </p>
63
<h3>3. What is the LCM of 10 and 15?</h3>
62
<h3>3. What is the LCM of 10 and 15?</h3>
64
<p> LCM is the smallest number divisible by 10 and 15. LCM (10,15) = 30.</p>
63
<p> LCM is the smallest number divisible by 10 and 15. LCM (10,15) = 30.</p>
65
<h3>4.What are the first five common multiples of 10 and 16?</h3>
64
<h3>4.What are the first five common multiples of 10 and 16?</h3>
66
<p>The<a>common multiples</a>in their order of appearance up to the count of five are → 80,160,240,320, and 400. LCM (10,16) = 80 </p>
65
<p>The<a>common multiples</a>in their order of appearance up to the count of five are → 80,160,240,320, and 400. LCM (10,16) = 80 </p>
67
<h3>5.What is the LCM of 6 and 10?</h3>
66
<h3>5.What is the LCM of 6 and 10?</h3>
68
<p>(10,6) = 60. 60 is the smallest number that appears commonly on the lists of the numbers 6 and 10. </p>
67
<p>(10,6) = 60. 60 is the smallest number that appears commonly on the lists of the numbers 6 and 10. </p>
69
<h2>Important Glossaries for the LCM of 10 and 16</h2>
68
<h2>Important Glossaries for the LCM of 10 and 16</h2>
70
<ul><li><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.</li>
69
<ul><li><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.</li>
71
</ul><ul><li><strong>Composite Number:</strong>Any number that has more than 2 factors is called a composite number. For example, 4,8 and 10. </li>
70
</ul><ul><li><strong>Composite Number:</strong>Any number that has more than 2 factors is called a composite number. For example, 4,8 and 10. </li>
72
</ul><ul><li><strong>Prime Factorization:</strong>It is breaking down a number into smaller prime numbers, then multiplied together, giving the same number. </li>
71
</ul><ul><li><strong>Prime Factorization:</strong>It is breaking down a number into smaller prime numbers, then multiplied together, giving the same number. </li>
73
</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
72
</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
74
<p>▶</p>
73
<p>▶</p>
75
<h2>Hiralee Lalitkumar Makwana</h2>
74
<h2>Hiralee Lalitkumar Makwana</h2>
76
<h3>About the Author</h3>
75
<h3>About the Author</h3>
77
<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>
76
<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>
78
<h3>Fun Fact</h3>
77
<h3>Fun Fact</h3>
79
<p>: She loves to read number jokes and games.</p>
78
<p>: She loves to read number jokes and games.</p>