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1 - <p>338 Learners</p>

1 + <p>372 Learners</p>

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

3 <p>LCM is a common multiple, the smallest value between the numbers 12 and 20. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.</p>

4 <h3>LCM of 12 and 20 Using Listing the Multiples</h3>

5 <p><strong>Step 1:</strong>Write down the multiples of the<a>numbers</a>. Don’t stop too early.</p>

6 <p> - Multiples of 12 = 12,16,24,36,48,60,…</p>

7 <p> - Multiples of 20 = 20,40,60,80,…</p>

8 <p><strong>Step 2:</strong> Find the smallest number common between the written multiples of 12 and 20</p>

9 <p> - The smallest<a>common multiple</a>is 60.</p>

10 <p>Thus, LCM(12,20) = 60</p>

11 <h3>LCM of 12 and 20 Using Prime Factorization</h3>

12 <p><strong>Step 1:</strong>- factorize the numbers into its prime<a>factors</a> </p>

13 <p>12 = 2×2×3</p>

14 <p>20 = 2×2×5 </p>

15 <p><strong>Step 2:</strong>- find the highest<a>powers</a>of the factors of 12 and 20</p>

16 <p><strong>Step 3:</strong>- Multiply the highest powers </p>

17 <p>LCM(12,20) = 60</p>

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20 <h3>LCM of 12 and 20 Using Division Method</h3>

19 <h3>LCM of 12 and 20 Using Division Method</h3>

21 <ul><li>Write the numbers 12,20 in a row </li>

20 <ul><li>Write the numbers 12,20 in a row </li>

22 </ul><ul><li>Divide them by their common prime factors, if there is one</li>

21 </ul><ul><li>Divide them by their common prime factors, if there is one</li>

23 </ul><ul><li>Carry forward the numbers that are left undivided by the previously chosen factor</li>

22 </ul><ul><li>Carry forward the numbers that are left undivided by the previously chosen factor</li>

24 </ul><ul><li>Continue dividing until the<a>remainder</a>is ‘1’ </li>

23 </ul><ul><li>Continue dividing until the<a>remainder</a>is ‘1’ </li>

25 </ul><ul><li>Multiply the divisors to find the LCM</li>

24 </ul><ul><li>Multiply the divisors to find the LCM</li>

26 </ul><ul><li>LCM(12,20) = 60 </li>

25 </ul><ul><li>LCM(12,20) = 60 </li>

27 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 12 and 20</h2>

26 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 12 and 20</h2>

28 <p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 12 and 20. Try to avoid them. </p>

27 <p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 12 and 20. Try to avoid them. </p>

29 <h3>Problem 1</h3>

28 <h3>Problem 1</h3>

30 <p>What percentage of the LCM of 12 and 20 is 12?</p>

29 <p>What percentage of the LCM of 12 and 20 is 12?</p>

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

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

32 <p>LCM(12,20)=60</p>

31 <p>LCM(12,20)=60</p>

33 <p>Percentage=(12/60)×100=20%</p>

32 <p>Percentage=(12/60)×100=20%</p>

34 <h3>Explanation</h3>

33 <h3>Explanation</h3>

35 <p>The percentage of a number in relation to the LCM is calculated by dividing the number by the LCM and multiplying by 100.</p>

34 <p>The percentage of a number in relation to the LCM is calculated by dividing the number by the LCM and multiplying by 100.</p>

36 <p>Well explained 👍</p>

35 <p>Well explained 👍</p>

37 <h3>Problem 2</h3>

36 <h3>Problem 2</h3>

38 <p>If 20 is one of the numbers, and the LCM of the unknown number and 20 is 60, what is the unknown number?</p>

37 <p>If 20 is one of the numbers, and the LCM of the unknown number and 20 is 60, what is the unknown number?</p>

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

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

40 <p>Let the unknown number be x</p>

39 <p>Let the unknown number be x</p>

41 <p>We know LCM(x,20)=60 and 20s prime factorization is 22.×5</p>

40 <p>We know LCM(x,20)=60 and 20s prime factorization is 22.×5</p>

42 <p>x must have prime factors 2² and 3 (since the LCM includes 3, which isn’t in 20). Thus, x=12x </p>

41 <p>x must have prime factors 2² and 3 (since the LCM includes 3, which isn’t in 20). Thus, x=12x </p>

43 <h3>Explanation</h3>

42 <h3>Explanation</h3>

44 <p>The LCM must include all prime factors of both numbers, so we deduce that the missing number is 12. </p>

43 <p>The LCM must include all prime factors of both numbers, so we deduce that the missing number is 12. </p>

45 <p>Well explained 👍</p>

44 <p>Well explained 👍</p>

46 <h3>Problem 3</h3>

45 <h3>Problem 3</h3>

47 <p>Mr. S has two kinds of plants that need watering. The lemon plant needs to be watered every 12 days, and the orange plant needs to be watered every 20 days. If both the plants are watered today, in how many days will Mr. S water them together again?</p>

46 <p>Mr. S has two kinds of plants that need watering. The lemon plant needs to be watered every 12 days, and the orange plant needs to be watered every 20 days. If both the plants are watered today, in how many days will Mr. S water them together again?</p>

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

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

49 <p>The LCM(12,20) = 24. </p>

48 <p>The LCM(12,20) = 24. </p>

50 <h3>Explanation</h3>

49 <h3>Explanation</h3>

51 <p>Mr. S needs to water the plants on the 60th day. The LCM of 12 and 20 is the smallest common multiple of the digits. </p>

50 <p>Mr. S needs to water the plants on the 60th day. The LCM of 12 and 20 is the smallest common multiple of the digits. </p>

52 <p>Well explained 👍</p>

51 <p>Well explained 👍</p>

53 <h2>FAQ’s on the LCM of 12 and 20</h2>

52 <h2>FAQ’s on the LCM of 12 and 20</h2>

54 <h3>1.What are the common factors of 12 and 20?</h3>

53 <h3>1.What are the common factors of 12 and 20?</h3>

55 <p>Factors of 12 = 1,2,3,4,12 </p>

54 <p>Factors of 12 = 1,2,3,4,12 </p>

56 <p>Factors of 20 = 1,2,4,5,10,20</p>

55 <p>Factors of 20 = 1,2,4,5,10,20</p>

57 <p>Common factors between 12 and 20 = 1,2,4. </p>

56 <p>Common factors between 12 and 20 = 1,2,4. </p>

58 <h3>2.Is 12 a factor of 20?</h3>

57 <h3>2.Is 12 a factor of 20?</h3>

59 <p>No, 12 is not a factor of 20. When we divide 20 by 12, a remainder is left behind which makes it not a factor. 20/12 = 1.667 </p>

58 <p>No, 12 is not a factor of 20. When we divide 20 by 12, a remainder is left behind which makes it not a factor. 20/12 = 1.667 </p>

60 <h3>3.What is the HCF of 12 and 20?</h3>

59 <h3>3.What is the HCF of 12 and 20?</h3>

61 <p>GCF of 12 and 20 can be found by listing the factors of the numbers → finding the<a>largest common factor</a>from the list of numbers. </p>

60 <p>GCF of 12 and 20 can be found by listing the factors of the numbers → finding the<a>largest common factor</a>from the list of numbers. </p>

62 <p>Factors of 12 = 1,2,3,4,12 </p>

61 <p>Factors of 12 = 1,2,3,4,12 </p>

63 <p>Factors of 20 = 1,2,4,5,10,20</p>

62 <p>Factors of 20 = 1,2,4,5,10,20</p>

64 <p>GCF (12,20) = 4 </p>

63 <p>GCF (12,20) = 4 </p>

65 <h3>4.What is the LCM of 12 and 18?</h3>

64 <h3>4.What is the LCM of 12 and 18?</h3>

66 <p>36 is the smallest number that appears commonly on the lists of the numbers 12 and 18.</p>

65 <p>36 is the smallest number that appears commonly on the lists of the numbers 12 and 18.</p>

67 <p>LCM (12,18) = 36 </p>

66 <p>LCM (12,18) = 36 </p>

68 <h3>5.Is 25 a factor of 200 ?</h3>

67 <h3>5.Is 25 a factor of 200 ?</h3>

69 <p>Numbers that are multiplied to reach 25 are called the factors of 25. </p>

68 <p>Numbers that are multiplied to reach 25 are called the factors of 25. </p>

70 <p>Yes, 25 is a factor of 200. When divided, no reminders are left. 200/25 = 8. </p>

69 <p>Yes, 25 is a factor of 200. When divided, no reminders are left. 200/25 = 8. </p>

71 <h2>Important glossaries on the LCM of 12 and 20</h2>

70 <h2>Important glossaries on the LCM of 12 and 20</h2>

72 <ul><li><strong>Multiple -</strong>product of a number and a natural integer </li>

71 <ul><li><strong>Multiple -</strong>product of a number and a natural integer </li>

73 </ul><ul><li><strong>Prime factor -</strong>number one gets after prime factorization any given number </li>

72 </ul><ul><li><strong>Prime factor -</strong>number one gets after prime factorization any given number </li>

74 </ul><ul><li><strong>Prime factorization -</strong>the process of breaking the number into its prime factors. </li>

73 </ul><ul><li><strong>Prime factorization -</strong>the process of breaking the number into its prime factors. </li>

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

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

76 <p>▶</p>

75 <p>▶</p>

77 <h2>Hiralee Lalitkumar Makwana</h2>

76 <h2>Hiralee Lalitkumar Makwana</h2>

78 <h3>About the Author</h3>

77 <h3>About the Author</h3>

79 <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 <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>

80 <h3>Fun Fact</h3>

79 <h3>Fun Fact</h3>

81 <p>: She loves to read number jokes and games.</p>

80 <p>: She loves to read number jokes and games.</p>