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1 - <p>415 Learners</p>

1 + <p>458 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 5 and 12. 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 5 and 12 using the Listing Multiples Method</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 5 = 5,10,15,20,26,30,35,40,45,50,55,60,…</p>

7 <p> - Multiples of 12 = 12, 24, 36, 48, 60, 52, 60, …</p>

8 <p> <strong>Step 2:</strong>Find the smallest number common between the written multiples of 3 and 8</p>

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

10 <p>Thus, LCM(5,12) = 60</p>

11 <h3>LCM of 5 and 12 using the Prime Factorization Method</h3>

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

13 <p>5 = 5×1</p>

14 <p>12 = 2×2×3</p>

15 <p> <strong>Step 2:</strong>- find the highest<a>powers</a>of the factors of 5 and 12</p>

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

17 <p>LCM(5,12) = 60</p>

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20 <h3>LCM of 5 and 12 using the Division Method</h3>

19 <h3>LCM of 5 and 12 using the Division Method</h3>

21 <ul><li>Write the numbers 5,12 in a row </li>

20 <ul><li>Write the numbers 5,12 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(5,12) = 60</li>

25 </ul><ul><li>LCM(5,12) = 60</li>

27 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 5 and 12</h2>

26 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 5 and 12</h2>

28 <p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 5 and 12. 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 5 and 12. Try to avoid them. </p>

29 <h3>Problem 1</h3>

28 <h3>Problem 1</h3>

30 <p>A movie theater alternates between a crime film and a children’s film. The crime film is shown every 5 days and the children’s film is shown every 12 days. In how many days will they both be screened together?</p>

29 <p>A movie theater alternates between a crime film and a children’s film. The crime film is shown every 5 days and the children’s film is shown every 12 days. In how many days will they both be screened together?</p>

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

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

32 <p>The LCM of 5 and 12 is 60. </p>

31 <p>The LCM of 5 and 12 is 60. </p>

33 <h3>Explanation</h3>

32 <h3>Explanation</h3>

34 <p>Both films will be shown on the same day again in 60 days. The LCM of 5 and 12 is 60, which is the smallest common time interval between the digits. </p>

33 <p>Both films will be shown on the same day again in 60 days. The LCM of 5 and 12 is 60, which is the smallest common time interval between the digits. </p>

35 <p>Well explained 👍</p>

34 <p>Well explained 👍</p>

36 <h3>Problem 2</h3>

35 <h3>Problem 2</h3>

37 <p>How many times does the LCM of 5 and 12 occur between 1 and 300?</p>

36 <p>How many times does the LCM of 5 and 12 occur between 1 and 300?</p>

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

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

39 <p>LCM of 5 and 12 is 60.</p>

38 <p>LCM of 5 and 12 is 60.</p>

40 <p>Divide 300 by 60 to find how many times it occurs: 300/60=5 </p>

39 <p>Divide 300 by 60 to find how many times it occurs: 300/60=5 </p>

41 <h3>Explanation</h3>

40 <h3>Explanation</h3>

42 <p>So, the LCM of 5 and 12 occurs 5 times between 1 and 300 </p>

41 <p>So, the LCM of 5 and 12 occurs 5 times between 1 and 300 </p>

43 <p>Well explained 👍</p>

42 <p>Well explained 👍</p>

44 <h3>Problem 3</h3>

43 <h3>Problem 3</h3>

45 <p>Verify the LCM of 5 and 12 using the formula LCM(a,b)=a×bGCD(a,b)</p>

44 <p>Verify the LCM of 5 and 12 using the formula LCM(a,b)=a×bGCD(a,b)</p>

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

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

47 <p>a=5, b=12</p>

46 <p>a=5, b=12</p>

48 <p>GCD of 5 and 12 is 1 (because 5 and 12 share no common factors).</p>

47 <p>GCD of 5 and 12 is 1 (because 5 and 12 share no common factors).</p>

49 <p>Using the formula: </p>

48 <p>Using the formula: </p>

50 <p>LCM(5,12)=5×12/1=60 </p>

49 <p>LCM(5,12)=5×12/1=60 </p>

51 <h3>Explanation</h3>

50 <h3>Explanation</h3>

52 <p> Therefore, the LCM is 60, confirming the result. </p>

51 <p> Therefore, the LCM is 60, confirming the result. </p>

53 <p>Well explained 👍</p>

52 <p>Well explained 👍</p>

54 <h2>FAQs on LCM of 5 and 12</h2>

53 <h2>FAQs on LCM of 5 and 12</h2>

55 <h3>1.What is the LCM of 5,12 and 20?</h3>

54 <h3>1.What is the LCM of 5,12 and 20?</h3>

56 <p>LCM(5,12,20) = 60.</p>

55 <p>LCM(5,12,20) = 60.</p>

57 <p>60 is the smallest number that appears commonly on the lists of the numbers 5,12,20. </p>

56 <p>60 is the smallest number that appears commonly on the lists of the numbers 5,12,20. </p>

58 <h3>2.What are the common factors of 5 and 12 ?</h3>

57 <h3>2.What are the common factors of 5 and 12 ?</h3>

59 <p>Factors of 5-1,5 </p>

58 <p>Factors of 5-1,5 </p>

60 <p>Factors of 12-1,2,3,4,6,12</p>

59 <p>Factors of 12-1,2,3,4,6,12</p>

61 <p>There are no<a>common factors</a>between the digits but 1, hence, GCF =1. </p>

60 <p>There are no<a>common factors</a>between the digits but 1, hence, GCF =1. </p>

62 <h3>3.What are the multiples of 5 and 12?</h3>

61 <h3>3.What are the multiples of 5 and 12?</h3>

63 <p>- Multiples of 5 = 5,10,15,20,25,30,35,40,45,50,55,60…</p>

62 <p>- Multiples of 5 = 5,10,15,20,25,30,35,40,45,50,55,60…</p>

64 <p>- Multiples of 12 =12,24,36,48,60,72,84,96,108,120… </p>

63 <p>- Multiples of 12 =12,24,36,48,60,72,84,96,108,120… </p>

65 <p>5 and 12 share the common multiple 60 which is also the LCM of the numbers. </p>

64 <p>5 and 12 share the common multiple 60 which is also the LCM of the numbers. </p>

66 <h3>4.What is the LCM of 5,4 and 12?</h3>

65 <h3>4.What is the LCM of 5,4 and 12?</h3>

67 <p>60 is the smallest number that appears commonly on the lists of the numbers 5,4 and 12</p>

66 <p>60 is the smallest number that appears commonly on the lists of the numbers 5,4 and 12</p>

68 <p>LCM(5,4,12) = 60 </p>

67 <p>LCM(5,4,12) = 60 </p>

69 <h3>5.What is divisible by both 5 and 12?</h3>

68 <h3>5.What is divisible by both 5 and 12?</h3>

70 <p>The LCM of the numbers 5 and 12 is 60, therefore all multiples of 60 are divisible by both 5 and 12. </p>

69 <p>The LCM of the numbers 5 and 12 is 60, therefore all multiples of 60 are divisible by both 5 and 12. </p>

71 <h2>Important glossaries for the LCM of 5 and 12</h2>

70 <h2>Important glossaries for the LCM of 5 and 12</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>