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1 - <p>302 Learners</p>

1 + <p>338 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 11 and 15?</h2>

5 <p>We use LCM of 11 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 165 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 11 and 15?</h2>

7 <h3>LCM of 11 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>11 is a<a>prime number</a>and cannot be divided further.</li>

10 </ul><ul><li>3 divides 15 and not 11.</li>

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

12 </ul><p>Now multiply the divisors : 11×3×5=165, which is the LCM. </p>

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15 <h3>LCM of 11 and 15 using Listing multiples:</h3>

14 <h3>LCM of 11 and 15 using Listing multiples:</h3>

16 <p><strong>Step 1:</strong>Start by listing multiples of both the numbers separately:</p>

15 <p><strong>Step 1:</strong>Start by listing multiples of both the numbers separately:</p>

17 <p>Multiples of 11 are 11,22,33,44,55,66,77,88,99,110,121,132,143,154,165…..'</p>

16 <p>Multiples of 11 are 11,22,33,44,55,66,77,88,99,110,121,132,143,154,165…..'</p>

18 <p>Multiples of 15 are 15,30,45,60,75,90,105,120,135,150,165…..</p>

17 <p>Multiples of 15 are 15,30,45,60,75,90,105,120,135,150,165…..</p>

19 <p><strong>Step 2:</strong>The least<a>common factor</a>from the list is 165. Therefore, the LCM of 11 and 15 is 165.</p>

18 <p><strong>Step 2:</strong>The least<a>common factor</a>from the list is 165. Therefore, the LCM of 11 and 15 is 165.</p>

20 <h3>LCM of 11 and 15 using Prime factorization:</h3>

19 <h3>LCM of 11 and 15 using Prime factorization:</h3>

21 <p><strong>Step 1:</strong>We part both the numbers unto factors:</p>

20 <p><strong>Step 1:</strong>We part both the numbers unto factors:</p>

22 <p>Factor of 11: 11</p>

21 <p>Factor of 11: 11</p>

23 <p>Factors of 15: 3×5</p>

22 <p>Factors of 15: 3×5</p>

24 <p><strong>Step 2:</strong>Take the<a>powers</a>of both the numbers and multiply together:</p>

23 <p><strong>Step 2:</strong>Take the<a>powers</a>of both the numbers and multiply together:</p>

25 <p>LCM=11x3x5=165.</p>

24 <p>LCM=11x3x5=165.</p>

26 <h2>Common Mistakes and How to Avoid Them in LCM of 11 and 15</h2>

25 <h2>Common Mistakes and How to Avoid Them in LCM of 11 and 15</h2>

27 <p> While solving problems based on the LCM of 11 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>

26 <p> While solving problems based on the LCM of 11 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>

28 <h3>Problem 1</h3>

27 <h3>Problem 1</h3>

29 <p>Add the fractions 2x/11 and 3x/15=1</p>

28 <p>Add the fractions 2x/11 and 3x/15=1</p>

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

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

31 <p>To add the fractions, we need to find the common denominator, and we need to find the LCM of the numbers (11 and 15)</p>

30 <p>To add the fractions, we need to find the common denominator, and we need to find the LCM of the numbers (11 and 15)</p>

32 <p>LCM of 11 and 15</p>

31 <p>LCM of 11 and 15</p>

33 <p>Prime factors of 11: 11</p>

32 <p>Prime factors of 11: 11</p>

34 <p>Prime factors of 15: 3×5</p>

33 <p>Prime factors of 15: 3×5</p>

35 <p>LCM = 11×3×5=165</p>

34 <p>LCM = 11×3×5=165</p>

36 <p>2x/11, multiply both numerator and denominator with 15 to get 165 as the denominator.</p>

35 <p>2x/11, multiply both numerator and denominator with 15 to get 165 as the denominator.</p>

37 <p> 3x/15, multiply both numerator and denominator with 11 to get 165 as the denominator.</p>

36 <p> 3x/15, multiply both numerator and denominator with 11 to get 165 as the denominator.</p>

38 <p>We get, 30x+33x/165=1</p>

37 <p>We get, 30x+33x/165=1</p>

39 <p>63x/165=1</p>

38 <p>63x/165=1</p>

40 <p>63x=165</p>

39 <p>63x=165</p>

41 <p>x=165/63=55/21</p>

40 <p>x=165/63=55/21</p>

42 <p>x=55/21. </p>

41 <p>x=55/21. </p>

43 <h3>Explanation</h3>

42 <h3>Explanation</h3>

44 <p>Answer :x=55/21. </p>

43 <p>Answer :x=55/21. </p>

45 <p>Well explained 👍</p>

44 <p>Well explained 👍</p>

46 <h3>Problem 2</h3>

45 <h3>Problem 2</h3>

47 <p>Find the LCM of 11 and 15 to rewrite the mixed fractions 2 511 and 1215 with the same denominator.</p>

46 <p>Find the LCM of 11 and 15 to rewrite the mixed fractions 2 511 and 1215 with the same denominator.</p>

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

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

49 <p>Convert the mixed fractions to improper fractions:</p>

48 <p>Convert the mixed fractions to improper fractions:</p>

50 <p></p>

49 <p></p>

51 <h3>Explanation</h3>

50 <h3>Explanation</h3>

52 <p>So the fractions are 405/165 and 187/165. </p>

51 <p>So the fractions are 405/165 and 187/165. </p>

53 <p>Well explained 👍</p>

52 <p>Well explained 👍</p>

54 <h3>Problem 3</h3>

53 <h3>Problem 3</h3>

55 <p>If x/11+5/15=1, find the value of x.</p>

54 <p>If x/11+5/15=1, find the value of x.</p>

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

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

57 <p>To add the fractions, we need to find the common denominator, we need to find the LCM of the numbers 11 and 15.</p>

56 <p>To add the fractions, we need to find the common denominator, we need to find the LCM of the numbers 11 and 15.</p>

58 <p>LCM of 11 and 15</p>

57 <p>LCM of 11 and 15</p>

59 <p>Prime factors of 11: 11</p>

58 <p>Prime factors of 11: 11</p>

60 <p>Prime factors of 15: 3×5</p>

59 <p>Prime factors of 15: 3×5</p>

61 <p>LCM = 3×5×11=165</p>

60 <p>LCM = 3×5×11=165</p>

62 <p> x/11 multiply both numerator and denominator with 15 to get 165 as the denominator.</p>

61 <p> x/11 multiply both numerator and denominator with 15 to get 165 as the denominator.</p>

63 <p>5/15 Multiply both numerator and denominator with 11 to get 165 as the denominator.</p>

62 <p>5/15 Multiply both numerator and denominator with 11 to get 165 as the denominator.</p>

64 <p>We get, 15x + 55/165 = 1.</p>

63 <p>We get, 15x + 55/165 = 1.</p>

65 <p>15x + 55=165</p>

64 <p>15x + 55=165</p>

66 <p>15x=165-55</p>

65 <p>15x=165-55</p>

67 <p>x=110/15</p>

66 <p>x=110/15</p>

68 <p>x=22/3. </p>

67 <p>x=22/3. </p>

69 <h3>Explanation</h3>

68 <h3>Explanation</h3>

70 <p>Answer: x=22/3.</p>

69 <p>Answer: x=22/3.</p>

71 <p>Well explained 👍</p>

70 <p>Well explained 👍</p>

72 <h3>Problem 4</h3>

71 <h3>Problem 4</h3>

73 <p>Use the division method to find the LCM of 11 and 15.</p>

72 <p>Use the division method to find the LCM of 11 and 15.</p>

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

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

75 <p> Divide the numbers by their prime factors:</p>

74 <p> Divide the numbers by their prime factors:</p>

76 <p> Step 11 15</p>

75 <p> Step 11 15</p>

77 <p> 3 11 5</p>

76 <p> 3 11 5</p>

78 <p> 5 11 1</p>

77 <p> 5 11 1</p>

79 <p> 11 1 1</p>

78 <p> 11 1 1</p>

80 <p> LCM = 3x 5 x11=165 </p>

79 <p> LCM = 3x 5 x11=165 </p>

81 <h3>Explanation</h3>

80 <h3>Explanation</h3>

82 <p> LCM of 11 and 15 = 3x 5 x11=165 </p>

81 <p> LCM of 11 and 15 = 3x 5 x11=165 </p>

83 <p>Well explained 👍</p>

82 <p>Well explained 👍</p>

84 <h3>Problem 5</h3>

83 <h3>Problem 5</h3>

85 <p>If LCM(11,15)=165 and a × b=330, what is GCF (a, b)?</p>

84 <p>If LCM(11,15)=165 and a × b=330, what is GCF (a, b)?</p>

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

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

87 <p>GCF (a, b)</p>

86 <p>GCF (a, b)</p>

88 <p>= a x b / LCM (a,b)</p>

87 <p>= a x b / LCM (a,b)</p>

89 <p>= 330/165</p>

88 <p>= 330/165</p>

90 <p>=2. </p>

89 <p>=2. </p>

91 <h3>Explanation</h3>

90 <h3>Explanation</h3>

92 <p>as we know LCM(11,15)=165.</p>

91 <p>as we know LCM(11,15)=165.</p>

93 <p>Well explained 👍</p>

92 <p>Well explained 👍</p>

94 <h2>FAQ’s on LCM of 11 and 15</h2>

93 <h2>FAQ’s on LCM of 11 and 15</h2>

95 <h3>1.What is the LCM of 15,11 and 12?</h3>

94 <h3>1.What is the LCM of 15,11 and 12?</h3>

96 <p>The LCM of 12,15 and 11 is 660. </p>

95 <p>The LCM of 12,15 and 11 is 660. </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 11,15, and 21?</h3>

98 <h3>3.Write the LCM of 11,15, and 21?</h3>

100 <p>Prime factorization of 11= 11</p>

99 <p>Prime factorization of 11= 11</p>

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

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

102 <p>Prime Factorization of 21 =7 × 3</p>

101 <p>Prime Factorization of 21 =7 × 3</p>

103 <p>LCM (12,15,21) = 32×7×5×11 = 1155. </p>

102 <p>LCM (12,15,21) = 32×7×5×11 = 1155. </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 LCM of 17 and 19?</h3>

105 <h3>5. What is the LCM of 17 and 19?</h3>

107 <h2>Important glossaries on the LCM of 15 and 11</h2>

106 <h2>Important glossaries on the LCM of 15 and 11</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 2×7.</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 2×7.</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>