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1 - <p>303 Learners</p>

1 + <p>335 Learners</p>

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

3 <p>The meaning of least common factor (LCM) is to find the smallest number that divides any two integers evenly. LCM is used mainly in fractions to find a common number for both the integers. We use LCM for solving problems, lining up cycles or even synchronizing of events, also to schedule tasks in everyday life.</p>

4 <h2>What is the LCM of 14 and 15?</h2>

5 <p>We use LCM<a>of</a>14 and 15 to find the smallest<a>number</a>that divides both the numbers equally. The smallest positive number is the number that divides both numbers equally, is 210 without leaving any<a>remainder</a>. LCM is used mainly in<a>fractions</a>to find a common number for both the<a>integers</a>.</p>

6 <h2>How to find the LCM of 14 and 15?</h2>

7 <h3>LCM of 14 and 15 using Division method:</h3>

8 <p>In division method, we divide both the numbers, we begin with dividing side by side the smallest number. We continue dividing until we get a common number that divides both the numbers equally. It makes it easier for the children to focus on prime<a>factors</a>and identify them.</p>

9 <ul><li>2 divides 14 and not 15</li>

10 </ul><ul><li>3 divides 15 and not 14</li>

11 </ul><ul><li>5 divides 15 and not 14</li>

12 </ul><ul><li>7 divides only 14.</li>

13 </ul><p>Now multiply the divisors : 2×3×5×7=210 which is the LCM. </p>

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16 <h3>LCM of 14 and 15 using Listing multiples:</h3>

15 <h3>LCM of 14 and 15 using Listing multiples:</h3>

17 <p>Start by listing multiples of both the numbers separately:</p>

16 <p>Start by listing multiples of both the numbers separately:</p>

18 <p>Multiples of 14 are 14,28,42,56,70,84,98,112,126,140…..</p>

17 <p>Multiples of 14 are 14,28,42,56,70,84,98,112,126,140…..</p>

19 <p>Multiples of 15 are 15,30,45,60,75,90,105,120,135,150…..</p>

18 <p>Multiples of 15 are 15,30,45,60,75,90,105,120,135,150…..</p>

20 <p>The least<a>common factor</a>from the list is 210. Therefore, the LCM of 14 and 15 is 210. </p>

19 <p>The least<a>common factor</a>from the list is 210. Therefore, the LCM of 14 and 15 is 210. </p>

21 <h3>LCM of 14 and 15 using Prime factorization:</h3>

20 <h3>LCM of 14 and 15 using Prime factorization:</h3>

22 <p>We part both the numbers unto factors:</p>

21 <p>We part both the numbers unto factors:</p>

23 <p>Factor of 14: 2×7</p>

22 <p>Factor of 14: 2×7</p>

24 <p>Factors of 15: 3×5</p>

23 <p>Factors of 15: 3×5</p>

25 <p>Take the<a>powers</a>of both the numbers and multiply together:</p>

24 <p>Take the<a>powers</a>of both the numbers and multiply together:</p>

26 <p>LCM=2x3x5x7=210. </p>

25 <p>LCM=2x3x5x7=210. </p>

27 <h2>Common Mistakes and How to Avoid Them in LCM of 14 and 15</h2>

26 <h2>Common Mistakes and How to Avoid Them in LCM of 14 and 15</h2>

28 <p>While solving problems based on the LCM of 14 and 15, children fail to understand few concepts, to give an idea of the mistakes, given below are a few mistakes and solutions of how to avoid them: </p>

27 <p>While solving problems based on the LCM of 14 and 15, children fail to understand few concepts, to give an idea of the mistakes, given below are a few mistakes and solutions of how to avoid them: </p>

29 <h3>Problem 1</h3>

28 <h3>Problem 1</h3>

30 <p>Add the fractions 2/14 and 3/15</p>

29 <p>Add the fractions 2/14 and 3/15</p>

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

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

32 <p>To add the fractions, we need to find the common denominator, and we need to find the LCM of the numbers (14 and 15)</p>

31 <p>To add the fractions, we need to find the common denominator, and we need to find the LCM of the numbers (14 and 15)</p>

33 <p>LCM of 14 and 15</p>

32 <p>LCM of 14 and 15</p>

34 <p>Prime factors of 14: 2×7</p>

33 <p>Prime factors of 14: 2×7</p>

35 <p>Prime factors of 15: 3×5</p>

34 <p>Prime factors of 15: 3×5</p>

36 <p> LCM = 2×3×5×7=210</p>

35 <p> LCM = 2×3×5×7=210</p>

37 <p>2/14, multiply both numerator and denominator with 15 to get 210 as the denominator.</p>

36 <p>2/14, multiply both numerator and denominator with 15 to get 210 as the denominator.</p>

38 <p>3/15, multiply both numerator and denominator with 14 to get 210 as the denominator.</p>

37 <p>3/15, multiply both numerator and denominator with 14 to get 210 as the denominator.</p>

39 <p>We get, 30+42/210= 72/210. </p>

38 <p>We get, 30+42/210= 72/210. </p>

40 <h3>Explanation</h3>

39 <h3>Explanation</h3>

41 <p>So the sum of 2/14 and 3/15 is 72/210.</p>

40 <p>So the sum of 2/14 and 3/15 is 72/210.</p>

42 <p>Well explained 👍</p>

41 <p>Well explained 👍</p>

43 <h3>Problem 2</h3>

42 <h3>Problem 2</h3>

44 <p>Solving for x to add the fractions. x/14 + x/15=1</p>

43 <p>Solving for x to add the fractions. x/14 + x/15=1</p>

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

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

46 <p> x/14 + x/15=1</p>

45 <p> x/14 + x/15=1</p>

47 <p> x/14, multiply both numerator and denominator with 15 to get 210 as the denominator, we get 15x/210.</p>

46 <p> x/14, multiply both numerator and denominator with 15 to get 210 as the denominator, we get 15x/210.</p>

48 <p> x /15, multiply both numerator and denominator with 14 to get 210 as the denominator, we get 14x/210.</p>

47 <p> x /15, multiply both numerator and denominator with 14 to get 210 as the denominator, we get 14x/210.</p>

49 <p>14x+15x/210=1</p>

48 <p>14x+15x/210=1</p>

50 <p>14x+15x=1x210</p>

49 <p>14x+15x=1x210</p>

51 <p>29x=210</p>

50 <p>29x=210</p>

52 <p>x=210/29 </p>

51 <p>x=210/29 </p>

53 <h3>Explanation</h3>

52 <h3>Explanation</h3>

54 <p>So, the value of x is 210/29. </p>

53 <p>So, the value of x is 210/29. </p>

55 <p>Well explained 👍</p>

54 <p>Well explained 👍</p>

56 <h3>Problem 3</h3>

55 <h3>Problem 3</h3>

57 <p>Add the fractions 5/14 and 6/15</p>

56 <p>Add the fractions 5/14 and 6/15</p>

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

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

59 <p>To add the fractions, we need to find the common denominator, we need to find the LCM of the numbers 14 and 15.</p>

58 <p>To add the fractions, we need to find the common denominator, we need to find the LCM of the numbers 14 and 15.</p>

60 <p>LCM of 14 and 15</p>

59 <p>LCM of 14 and 15</p>

61 <p>Prime factors of 14: 2×7</p>

60 <p>Prime factors of 14: 2×7</p>

62 <p>Prime factors of 15: 3×5</p>

61 <p>Prime factors of 15: 3×5</p>

63 <p>LCM = 2×3×5×7=210</p>

62 <p>LCM = 2×3×5×7=210</p>

64 <p>5/14, multiply both numerator and denominator with 15 to get 210 as the denominator.</p>

63 <p>5/14, multiply both numerator and denominator with 15 to get 210 as the denominator.</p>

65 <p> 6/15, multiply both numerator and denominator with 14 to get 210 as the denominator.</p>

64 <p> 6/15, multiply both numerator and denominator with 14 to get 210 as the denominator.</p>

66 <p>We get, 75+90/210= 165/210. </p>

65 <p>We get, 75+90/210= 165/210. </p>

67 <h3>Explanation</h3>

66 <h3>Explanation</h3>

68 <p>So the sum of 5/14 and 6/15 is 165/210. </p>

67 <p>So the sum of 5/14 and 6/15 is 165/210. </p>

69 <p>Well explained 👍</p>

68 <p>Well explained 👍</p>

70 <h3>Problem 4</h3>

69 <h3>Problem 4</h3>

71 <p>A student organization meets every 14 days, and the parent-teacher organization meets every 15 days. When will both the organization meet together again?</p>

70 <p>A student organization meets every 14 days, and the parent-teacher organization meets every 15 days. When will both the organization meet together again?</p>

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

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

73 <p>LCM of 14 and 15</p>

72 <p>LCM of 14 and 15</p>

74 <p>Prime factors of 14: 2×7</p>

73 <p>Prime factors of 14: 2×7</p>

75 <p>Prime factors of 15: 3×5</p>

74 <p>Prime factors of 15: 3×5</p>

76 <p>LCM = 2×3×5×7=210 </p>

75 <p>LCM = 2×3×5×7=210 </p>

77 <h3>Explanation</h3>

76 <h3>Explanation</h3>

78 <p>Both organizations will meet together every 210 days. </p>

77 <p>Both organizations will meet together every 210 days. </p>

79 <p>Well explained 👍</p>

78 <p>Well explained 👍</p>

80 <h3>Problem 5</h3>

79 <h3>Problem 5</h3>

81 <p>Solving for x to add the fractions. 6x/14 + 7x/15=1</p>

80 <p>Solving for x to add the fractions. 6x/14 + 7x/15=1</p>

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

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

83 <p>6x/14 + 7x/15=1</p>

82 <p>6x/14 + 7x/15=1</p>

84 <p>6x/14, multiply both numerator and denominator with 15 to get 210 as the denominator, we get 90x/210.</p>

83 <p>6x/14, multiply both numerator and denominator with 15 to get 210 as the denominator, we get 90x/210.</p>

85 <p>7x /15, multiply both numerator and denominator with 14 to get 210 as the denominator, we get 98x/210.</p>

84 <p>7x /15, multiply both numerator and denominator with 14 to get 210 as the denominator, we get 98x/210.</p>

86 <p>90x+98x/210=1</p>

85 <p>90x+98x/210=1</p>

87 <p>90x+98x=1x210</p>

86 <p>90x+98x=1x210</p>

88 <p>188x=210</p>

87 <p>188x=210</p>

89 <p>x=210/188 </p>

88 <p>x=210/188 </p>

90 <h3>Explanation</h3>

89 <h3>Explanation</h3>

91 <p>So, the value of x is 210/188. </p>

90 <p>So, the value of x is 210/188. </p>

92 <p>Well explained 👍</p>

91 <p>Well explained 👍</p>

93 <h2>FAQ’s on LCM of 14 and 15</h2>

92 <h2>FAQ’s on LCM of 14 and 15</h2>

94 <h3>1.What are the multiples of 128?</h3>

93 <h3>1.What are the multiples of 128?</h3>

95 <p> The multiples / factors of 128 are given in pairs.</p>

94 <p> The multiples / factors of 128 are given in pairs.</p>

96 <p>(1 and 128), (2 and 64), (4 and 32), (8 and 16). </p>

95 <p>(1 and 128), (2 and 64), (4 and 32), (8 and 16). </p>

97 <h3>2.There are how many factors in 3600?</h3>

96 <h3>2.There are how many factors in 3600?</h3>

98 <p>There are 45 factors of 3600, but the prime factors are 2,3,5</p>

97 <p>There are 45 factors of 3600, but the prime factors are 2,3,5</p>

99 <h3>3.Write the LCM of 12,15, and 45?</h3>

98 <h3>3.Write the LCM of 12,15, and 45?</h3>

100 <p>Prime factorization of 12 = 22×3</p>

99 <p>Prime factorization of 12 = 22×3</p>

101 <p>Prime factorization of 15 = 5×3</p>

100 <p>Prime factorization of 15 = 5×3</p>

102 <p> Prime Factorization of 45 =5×32</p>

101 <p> Prime Factorization of 45 =5×32</p>

103 <p>LCM (12,15,45) = 32×22×5 = 180 </p>

102 <p>LCM (12,15,45) = 32×22×5 = 180 </p>

104 <h3>4.Write six hundred and forty thousand in numbers?</h3>

103 <h3>4.Write six hundred and forty thousand in numbers?</h3>

105 <p>‘Six hundred forty thousand’ is written as 640,000 in numbers. </p>

104 <p>‘Six hundred forty thousand’ is written as 640,000 in numbers. </p>

106 <h3>5.What is the GCF, If the LCM of 14 and 15 is 210?</h3>

105 <h3>5.What is the GCF, If the LCM of 14 and 15 is 210?</h3>

107 <h2>Important glossaries on the LCM of 15 and 14</h2>

106 <h2>Important glossaries on the LCM of 15 and 14</h2>

108 <ul><li><strong>Prime Factor:</strong>A natural number or whole number which has factors that are 1 and itself. For Example, 3 is a prime number.</li>

107 <ul><li><strong>Prime Factor:</strong>A natural number or whole number which has factors that are 1 and itself. For Example, 3 is a prime number.</li>

109 </ul><ul><li><strong>Prime Factorization:</strong>The process of breaking down a number into its prime factors is called Prime Factorization. For example, the factorization of 14 is 2x7.</li>

108 </ul><ul><li><strong>Prime Factorization:</strong>The process of breaking down a number into its prime factors is called Prime Factorization. For example, the factorization of 14 is 2x7.</li>

110 </ul><ul><li><strong>Co-prime numbers:</strong>numbers which has the only positive divisor of them both as 1. For example, 6 and 7. </li>

109 </ul><ul><li><strong>Co-prime numbers:</strong>numbers which has the only positive divisor of them both as 1. For example, 6 and 7. </li>

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

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

112 <p>▶</p>

111 <p>▶</p>

113 <h2>Hiralee Lalitkumar Makwana</h2>

112 <h2>Hiralee Lalitkumar Makwana</h2>

114 <h3>About the Author</h3>

113 <h3>About the Author</h3>

115 <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>

114 <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>

116 <h3>Fun Fact</h3>

115 <h3>Fun Fact</h3>

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

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