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1 - <p>324 Learners</p>

1 + <p>357 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 15. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.</p>

4 <h2>What is the LCM of 12 and 15?</h2>

5 <h3>LCM of 12 and 15 Using Listing the Multiples</h3>

6 <p>Step1; Write down the multiples of the<a>numbers</a>. Don’t stop too early.</p>

7 <p>12 = 12,24,48,60 …</p>

8 <p>15 = 15,60,45,60,75,…</p>

9 <p> Step 2: Find the smallest number common between the written multiples of 12 and 15 </p>

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

11 <p>Thus, LCM(12,15) = 60 </p>

12 <h3>LCM of 12 and 15 Using Prime Factorization</h3>

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

14 <p>12 =2×2×3</p>

15 <p>15 =5×3</p>

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

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

18 <p>LCM(12,15) = 60 </p>

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21 <h3>LCM of 12 and 15 Using Division Method</h3>

20 <h3>LCM of 12 and 15 Using Division Method</h3>

22 <ul><li>Write the numbers 12, 15 in a row </li>

21 <ul><li>Write the numbers 12, 15 in a row </li>

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

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

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

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

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

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

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

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

27 </ul><ul><li>LCM(12,15) = 60 </li>

26 </ul><ul><li>LCM(12,15) = 60 </li>

28 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 12 and 15</h2>

27 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 12 and 15</h2>

29 <p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 12 and 15. Try to avoid them. </p>

28 <p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 12 and 15. Try to avoid them. </p>

30 <h3>Problem 1</h3>

29 <h3>Problem 1</h3>

31 <p>The GCF of two numbers is 3, and one of the numbers is 12. If the LCM of the two numbers is 60, find the missing number.</p>

30 <p>The GCF of two numbers is 3, and one of the numbers is 12. If the LCM of the two numbers is 60, find the missing number.</p>

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

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

33 <p>Using the formula LCM(a,b)×GCF(a,b)=a×b:</p>

32 <p>Using the formula LCM(a,b)×GCF(a,b)=a×b:</p>

34 <p>60×3=12×Missing Number</p>

33 <p>60×3=12×Missing Number</p>

35 <p>180=12×Missing Number</p>

34 <p>180=12×Missing Number</p>

36 <p>Missing Number=180/12=15 </p>

35 <p>Missing Number=180/12=15 </p>

37 <h3>Explanation</h3>

36 <h3>Explanation</h3>

38 <p>The missing number is 15. </p>

37 <p>The missing number is 15. </p>

39 <p>Well explained 👍</p>

38 <p>Well explained 👍</p>

40 <h3>Problem 2</h3>

39 <h3>Problem 2</h3>

41 <p>Find the ratio of the GCF to the LCM of 12 and 15.</p>

40 <p>Find the ratio of the GCF to the LCM of 12 and 15.</p>

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

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

43 <p>GCF of 12 and 15 = 3 (from Problem 3)</p>

42 <p>GCF of 12 and 15 = 3 (from Problem 3)</p>

44 <p>LCM of 12 and 15 = 60 (from Problem 1)</p>

43 <p>LCM of 12 and 15 = 60 (from Problem 1)</p>

45 <p>Ratio = GCF/LCM=3/60=1/20 </p>

44 <p>Ratio = GCF/LCM=3/60=1/20 </p>

46 <h3>Explanation</h3>

45 <h3>Explanation</h3>

47 <p>The ratio of the GCD to the LCM is 1:20. </p>

46 <p>The ratio of the GCD to the LCM is 1:20. </p>

48 <p>Well explained 👍</p>

47 <p>Well explained 👍</p>

49 <h3>Problem 3</h3>

48 <h3>Problem 3</h3>

50 <p>Add the fractions 5/12 and 7/15 by finding the LCM of the denominators.</p>

49 <p>Add the fractions 5/12 and 7/15 by finding the LCM of the denominators.</p>

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

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

52 <p>Answer: 5/12+7/15=53/60 </p>

51 <p>Answer: 5/12+7/15=53/60 </p>

53 <h3>Explanation</h3>

52 <h3>Explanation</h3>

54 <p>LCM of 12 and 15 = 60</p>

53 <p>LCM of 12 and 15 = 60</p>

55 <p>Convert to common denominator:</p>

54 <p>Convert to common denominator:</p>

56 <p>5/12=5×5/60=25/60</p>

55 <p>5/12=5×5/60=25/60</p>

57 <p>7/15=7×4/60=28/60 </p>

56 <p>7/15=7×4/60=28/60 </p>

58 <p>Sum: 25/60+28/60=53/60 </p>

57 <p>Sum: 25/60+28/60=53/60 </p>

59 <p>Well explained 👍</p>

58 <p>Well explained 👍</p>

60 <h2>FAQs on LCM of 12 and 15</h2>

59 <h2>FAQs on LCM of 12 and 15</h2>

61 <h3>1.What is the LCM of 5,15 and 20?</h3>

60 <h3>1.What is the LCM of 5,15 and 20?</h3>

62 <p>60 is the smallest number that appears commonly on the lists of the numbers 5,15 and 20. LCM (5,15,20) = 60 </p>

61 <p>60 is the smallest number that appears commonly on the lists of the numbers 5,15 and 20. LCM (5,15,20) = 60 </p>

63 <h3>2.What is the HCF of 5 and 20?</h3>

62 <h3>2.What is the HCF of 5 and 20?</h3>

64 <p>HCF of 5 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>

63 <p>HCF of 5 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>

65 <p>Factors of 5 = 1,5 </p>

64 <p>Factors of 5 = 1,5 </p>

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

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

67 <p>HCF (5,20) = 5 </p>

66 <p>HCF (5,20) = 5 </p>

68 <h3>3. Is 20 a multiple of 5?</h3>

67 <h3>3. Is 20 a multiple of 5?</h3>

69 <p>Yes, 5 is a multiple of 20. When divided, no reminders are left behind. </p>

68 <p>Yes, 5 is a multiple of 20. When divided, no reminders are left behind. </p>

70 <p>20/5 = 4 </p>

69 <p>20/5 = 4 </p>

71 <h3>4. Is 0 a multiple of 5?</h3>

70 <h3>4. Is 0 a multiple of 5?</h3>

72 <p>Yes, any non-zero<a>integer</a>is a multiple of 0. </p>

71 <p>Yes, any non-zero<a>integer</a>is a multiple of 0. </p>

73 <h3>5.What is the LCM of 17 and 11?</h3>

72 <h3>5.What is the LCM of 17 and 11?</h3>

74 <p>187 is the smallest number that appears commonly on the lists of the numbers 11 and 17.</p>

73 <p>187 is the smallest number that appears commonly on the lists of the numbers 11 and 17.</p>

75 <p>LCM (11,17) =187 </p>

74 <p>LCM (11,17) =187 </p>

76 <h2>Important glossaries on the LCM of 12 and 15</h2>

75 <h2>Important glossaries on the LCM of 12 and 15</h2>

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

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

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

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

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

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

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

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

81 <p>▶</p>

80 <p>▶</p>

82 <h2>Hiralee Lalitkumar Makwana</h2>

81 <h2>Hiralee Lalitkumar Makwana</h2>

83 <h3>About the Author</h3>

82 <h3>About the Author</h3>

84 <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>

83 <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>

85 <h3>Fun Fact</h3>

84 <h3>Fun Fact</h3>

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

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