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2 <p>Last updated on<strong>August 5, 2025</strong></p>

3 <p>The Least Common Multiple (LCM) is the smallest number that when we divide by two or more numbers at a time, all three or more numbers divide into it. LCM also helps in math problems and everyday things like event planning or buying supplies. We will find the LCM of 8,12 and 20 together and what that really means.</p>

4 <h2>What Is The LCM Of 8,12 And 20?</h2>

5 <p>The LCM or the<a>least common multiple</a>of 2<a>numbers</a>is the smallest number that appears as a multiple of both numbers. In case of 8,12 and 20, The LCM is 120. But how did we get to this answer? There are different ways to obtain a LCM of 2 or more numbers. Let us take a look at those methods. </p>

6 <h2>How To Find The LCM Of 8,12 and 20</h2>

7 <p>Remember that we previously said there are plenty of ways to calculate the LCM of two numbers or more. Then some of those methods make it extremely easy for us to find the LCM of any two numbers. Those methods are: </p>

8 <ul><li>Listing of Multiples</li>

9 </ul><ul><li>Prime Factorization</li>

10 </ul><ul><li>Division Method</li>

11 </ul><p>Finally, now we will learn how each of these methods can help us to calculate LCM of given numbers. </p>

12 <h2>Finding LCM Of 8,12 and 20 By Listing Of Multiples</h2>

13 <p>This method will help us find the LCM of the numbers by listing the<a>multiples</a>of the given numbers. Let us take a step by step look at this method.</p>

14 <ul><li>The first step is to list all the multiples of the given numbers.</li>

15 </ul><p>Multiples Of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128 and 136.</p>

16 <p>Multiples Of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108 and 120. </p>

17 <p>Multiples Of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180 and 200.</p>

18 <ul><li>The second step is to find the smallest<a>common multiples</a>in both the numbers. In this case, that number is 120 as highlighted above.</li>

19 </ul><p>By this way we will be able to tell the LCM of given numbers. </p>

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22 <h3>Finding The LCM By Prime Factorization</h3>

21 <h3>Finding The LCM By Prime Factorization</h3>

23 <p>Let us break down the process of<a>prime factorization</a>into steps and make it easy for children to understand. The first step is to break down the given numbers into its primal form. The primal form of the number is:</p>

22 <p>Let us break down the process of<a>prime factorization</a>into steps and make it easy for children to understand. The first step is to break down the given numbers into its primal form. The primal form of the number is:</p>

24 <p>8= 2×2×2</p>

23 <p>8= 2×2×2</p>

25 <p>12= 2×2×3</p>

24 <p>12= 2×2×3</p>

26 <p>20=2×2×5</p>

25 <p>20=2×2×5</p>

27 <p>As you can see, 2 appears as a prime<a>factor</a>in all three numbers. So instead of considering 2 seven times, we will only consider it three times. So the final<a>equation</a>will look like (2×2×2×3×5).</p>

26 <p>As you can see, 2 appears as a prime<a>factor</a>in all three numbers. So instead of considering 2 seven times, we will only consider it three times. So the final<a>equation</a>will look like (2×2×2×3×5).</p>

28 <p>So after the<a>multiplication</a>, we will be getting the LCM as 120.</p>

27 <p>So after the<a>multiplication</a>, we will be getting the LCM as 120.</p>

29 <p>As you can see, using this method can be easier for larger numbers compared to the previous method. </p>

28 <p>As you can see, using this method can be easier for larger numbers compared to the previous method. </p>

30 <h3>Finding The LCM By Division Method</h3>

29 <h3>Finding The LCM By Division Method</h3>

31 <p>The method to calculate the LCM is really simple. We’ll break these given numbers apart till it comes down to one, by dividing it by the prime factors. The<a>product</a>of the divisors that will come is the LCM of the given numbers.</p>

30 <p>The method to calculate the LCM is really simple. We’ll break these given numbers apart till it comes down to one, by dividing it by the prime factors. The<a>product</a>of the divisors that will come is the LCM of the given numbers.</p>

32 <p>Let us understand it step by step:</p>

31 <p>Let us understand it step by step:</p>

33 <p><strong>Step 1:</strong>The first thing is to find the number common in both the numbers. Here it is 2. In that case, we divide both the numbers by 2. It will reduce the values of the numbers to 4, 6 and 10.</p>

32 <p><strong>Step 1:</strong>The first thing is to find the number common in both the numbers. Here it is 2. In that case, we divide both the numbers by 2. It will reduce the values of the numbers to 4, 6 and 10.</p>

34 <p><strong>Step 2:</strong>We will divide the numbers by 2 again, now it will become 2,3 and 50. As these numbers are<a>prime numbers</a>, it can only be divided by the number itself. After that, one 1’s will be in the last line.</p>

33 <p><strong>Step 2:</strong>We will divide the numbers by 2 again, now it will become 2,3 and 50. As these numbers are<a>prime numbers</a>, it can only be divided by the number itself. After that, one 1’s will be in the last line.</p>

35 <p><strong>Step 3:</strong>This is the end of<a>division</a>. However, we will now find the product of the numbers on the left. The numbers on the left side are: 2,2,2,3 and 5. </p>

34 <p><strong>Step 3:</strong>This is the end of<a>division</a>. However, we will now find the product of the numbers on the left. The numbers on the left side are: 2,2,2,3 and 5. </p>

36 <p>These numbers multiplied give 120. On this basis, therefore, the LCM of the 8,12 and 20 becomes 120. </p>

35 <p>These numbers multiplied give 120. On this basis, therefore, the LCM of the 8,12 and 20 becomes 120. </p>

37 <h2>Common Mistakes And How To Avoid Them in LCM Of 8,12 And 20.</h2>

36 <h2>Common Mistakes And How To Avoid Them in LCM Of 8,12 And 20.</h2>

38 <p>Let us look at some of the common mistakes that can happen while solving a given assignment regarding LCM. </p>

37 <p>Let us look at some of the common mistakes that can happen while solving a given assignment regarding LCM. </p>

39 <h3>Problem 1</h3>

38 <h3>Problem 1</h3>

40 <p>Three kids run laps: There is one that runs every eight minutes, one that runs every twelve minutes, and the last that runs every twenty minutes. When will they all meet?</p>

39 <p>Three kids run laps: There is one that runs every eight minutes, one that runs every twelve minutes, and the last that runs every twenty minutes. When will they all meet?</p>

41 <p>Okay, lets begin</p>

40 <p>Okay, lets begin</p>

42 <p>They will all meet after 120 minutes. </p>

41 <p>They will all meet after 120 minutes. </p>

43 <h3>Explanation</h3>

42 <h3>Explanation</h3>

44 <p> 120 is the smallest number that can be divided by 8, 12, and 20. This is called the least common multiple (LCM). </p>

43 <p> 120 is the smallest number that can be divided by 8, 12, and 20. This is called the least common multiple (LCM). </p>

45 <p>Well explained 👍</p>

44 <p>Well explained 👍</p>

46 <h3>Problem 2</h3>

45 <h3>Problem 2</h3>

47 <p>Three school buses leave at different times: one every 8 minutes, one every twelve minutes, and the last every 20 minutes. When do they leave together?</p>

46 <p>Three school buses leave at different times: one every 8 minutes, one every twelve minutes, and the last every 20 minutes. When do they leave together?</p>

48 <p>Okay, lets begin</p>

47 <p>Okay, lets begin</p>

49 <p>They leave together every 120 minutes. </p>

48 <p>They leave together every 120 minutes. </p>

50 <h3>Explanation</h3>

49 <h3>Explanation</h3>

51 <p> The buses leave together every 120 minutes because 120 is the smallest number that can be evenly divided by 8, 12, and 20. </p>

50 <p> The buses leave together every 120 minutes because 120 is the smallest number that can be evenly divided by 8, 12, and 20. </p>

52 <p>Well explained 👍</p>

51 <p>Well explained 👍</p>

53 <h3>Problem 3</h3>

52 <h3>Problem 3</h3>

54 <p>If a baker bakes cookies every 8, 12, and 20 minutes, when will they bake together?</p>

53 <p>If a baker bakes cookies every 8, 12, and 20 minutes, when will they bake together?</p>

55 <p>Okay, lets begin</p>

54 <p>Okay, lets begin</p>

56 <p>The cookies will bake together every 120 minutes, or 2 hours. </p>

55 <p>The cookies will bake together every 120 minutes, or 2 hours. </p>

57 <h3>Explanation</h3>

56 <h3>Explanation</h3>

58 <p> The baker bakes cookies every 8, 12, and 20 minutes. The smallest time when they all bake together is 120 minutes. </p>

57 <p> The baker bakes cookies every 8, 12, and 20 minutes. The smallest time when they all bake together is 120 minutes. </p>

59 <p>Well explained 👍</p>

58 <p>Well explained 👍</p>

60 <h3>Problem 4</h3>

59 <h3>Problem 4</h3>

61 <p>Three cars start a race: one every 8, another every 12, and the last every 20 minutes. When do they race together?</p>

60 <p>Three cars start a race: one every 8, another every 12, and the last every 20 minutes. When do they race together?</p>

62 <p>Okay, lets begin</p>

61 <p>Okay, lets begin</p>

63 <p>The cars will race together after 120 minutes. </p>

62 <p>The cars will race together after 120 minutes. </p>

64 <h3>Explanation</h3>

63 <h3>Explanation</h3>

65 <p>120 is the smallest number that fits perfectly into 8, 12, and 20 minutes. This means all cars will start at the same time after 120 minutes. </p>

64 <p>120 is the smallest number that fits perfectly into 8, 12, and 20 minutes. This means all cars will start at the same time after 120 minutes. </p>

66 <p>Well explained 👍</p>

65 <p>Well explained 👍</p>

67 <h3>Problem 5</h3>

66 <h3>Problem 5</h3>

68 <p>When should they be planted together if a gardener plants flowers 8, 12, and 20 days apart?</p>

67 <p>When should they be planted together if a gardener plants flowers 8, 12, and 20 days apart?</p>

69 <p>Okay, lets begin</p>

68 <p>Okay, lets begin</p>

70 <p> They should all be planted together every 120 days.</p>

69 <p> They should all be planted together every 120 days.</p>

71 <h3>Explanation</h3>

70 <h3>Explanation</h3>

72 <p> Since 120 is the smallest number that can be divided evenly by 8, 12, and 20, they all plant together after 120 days. </p>

71 <p> Since 120 is the smallest number that can be divided evenly by 8, 12, and 20, they all plant together after 120 days. </p>

73 <p>Well explained 👍</p>

72 <p>Well explained 👍</p>

74 <h2>FAQs For LCM Of 8,12 And 20</h2>

73 <h2>FAQs For LCM Of 8,12 And 20</h2>

75 <h3>1.By what method can you compute the LCM of 8, 12, and 20?</h3>

74 <h3>1.By what method can you compute the LCM of 8, 12, and 20?</h3>

76 <p>To find the LCM of 8, 12, and 20, list their prime factors: 8= 23, 12= 2×3, and 20= 2×5. Take the highest<a>powers</a>: 2×3×5=120. So, the LCM is 120. </p>

75 <p>To find the LCM of 8, 12, and 20, list their prime factors: 8= 23, 12= 2×3, and 20= 2×5. Take the highest<a>powers</a>: 2×3×5=120. So, the LCM is 120. </p>

77 <h3>2.Can you give some common multiples of 8, 12, and 20?</h3>

76 <h3>2.Can you give some common multiples of 8, 12, and 20?</h3>

78 <p>Yes! Some common multiples are 120, 240, and so on. These numbers are found in the multiples of each number. </p>

77 <p>Yes! Some common multiples are 120, 240, and so on. These numbers are found in the multiples of each number. </p>

79 <h3>3.Can I find LCM using a number line?</h3>

78 <h3>3.Can I find LCM using a number line?</h3>

80 <p> Yes! You can mark multiples on a<a>number line</a>to see where they overlap, which helps find the LCM. </p>

79 <p> Yes! You can mark multiples on a<a>number line</a>to see where they overlap, which helps find the LCM. </p>

81 <h3>4.Is LCM possible to be more than both numbers.</h3>

80 <h3>4.Is LCM possible to be more than both numbers.</h3>

82 <p>Yes! For example, LCM can be bigger than original numbers, 120 is larger than 8 & 12 & 20. </p>

81 <p>Yes! For example, LCM can be bigger than original numbers, 120 is larger than 8 & 12 & 20. </p>

83 <h2>Important Glossaries for LCM of 8,12 and 20</h2>

82 <h2>Important Glossaries for LCM of 8,12 and 20</h2>

84 <ul><li><strong>Multiple:</strong>A number you get when you multiply a number by a whole number. For example, the multiples of 2 are 2, 4, 6, 8, and so on.</li>

83 <ul><li><strong>Multiple:</strong>A number you get when you multiply a number by a whole number. For example, the multiples of 2 are 2, 4, 6, 8, and so on.</li>

85 </ul><ul><li><strong>Divisibility:</strong>When one number can be divided by another number without leaving a remainder. For instance, 15 is divisible by 3 because 15÷3=5.</li>

84 </ul><ul><li><strong>Divisibility:</strong>When one number can be divided by another number without leaving a remainder. For instance, 15 is divisible by 3 because 15÷3=5.</li>

86 </ul><ul><li><strong>Prime Factorization</strong>: Breaking down a number into its basic building blocks, which are prime numbers. For example, 12 can be broken down into 2×2×3.</li>

85 </ul><ul><li><strong>Prime Factorization</strong>: Breaking down a number into its basic building blocks, which are prime numbers. For example, 12 can be broken down into 2×2×3.</li>

87 </ul><ul><li><strong>Divisor:</strong>A number that divides another number evenly. For example, 4 is a divisor of 12 because 12÷4=3.</li>

86 </ul><ul><li><strong>Divisor:</strong>A number that divides another number evenly. For example, 4 is a divisor of 12 because 12÷4=3.</li>

88 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

87 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

89 <p>▶</p>

88 <p>▶</p>