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1 - <p>359 Learners</p>

1 + <p>405 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 <h3>What is the LCM of 20 and 40?</h3>

5 <p>We use LCM of 20 and 40 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 40 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 20 and 40?</h2>

7 <h3>LCM of 20 and 40 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 20 and 40</li>

10 </ul><ul><li>2 divides 10 and 20</li>

11 </ul><ul><li>5 divides 5 and 10</li>

12 </ul><ul><li>2 divides 2.</li>

13 </ul><p>Now multiply the divisors : 2×2×5×2=40 which is the LCM.</p>

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16 <h3>LCM of 20 and 40 using Listing multiples:</h3>

15 <h3>LCM of 20 and 40 using Listing multiples:</h3>

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

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

18 <p>Multiples of 20 are 20,40,60,80,…..</p>

17 <p>Multiples of 20 are 20,40,60,80,…..</p>

19 <p>Multiples of 40 are 40,80,120,160,…..</p>

18 <p>Multiples of 40 are 40,80,120,160,…..</p>

20 <p><strong>Step 2:</strong>The least<a>common factor</a>from the list is 40.</p>

19 <p><strong>Step 2:</strong>The least<a>common factor</a>from the list is 40.</p>

21 <p>Therefore, the LCM of 20 and 40 is 40.</p>

20 <p>Therefore, the LCM of 20 and 40 is 40.</p>

22 <h3>LCM of 20 and 40 using Prime factorization:</h3>

21 <h3>LCM of 20 and 40 using Prime factorization:</h3>

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

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

24 <p>Factor of 20: 22×5</p>

23 <p>Factor of 20: 22×5</p>

25 <p>Factors of 40: 23×5</p>

24 <p>Factors of 40: 23×5</p>

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

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

27 <p>LCM=23x5=40. </p>

26 <p>LCM=23x5=40. </p>

28 <h2>Common Mistakes and How to Avoid Them in LCM of 20 and 40</h2>

27 <h2>Common Mistakes and How to Avoid Them in LCM of 20 and 40</h2>

29 <p> While solving problems based on the LCM of 20 and 40, 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 <p> While solving problems based on the LCM of 20 and 40, 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>

30 <h3>Problem 1</h3>

29 <h3>Problem 1</h3>

31 <p>If the LCM of two numbers is 40 and one of the numbers is 20, what is the other number?</p>

30 <p>If the LCM of two numbers is 40 and one of the numbers is 20, what is the other number?</p>

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

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

33 <p>the other number b = 40</p>

32 <p>the other number b = 40</p>

34 <h3>Explanation</h3>

33 <h3>Explanation</h3>

35 <p>By the formula:</p>

34 <p>By the formula:</p>

36 <p>LCM(a, b)=ab/GCD(a,b)</p>

35 <p>LCM(a, b)=ab/GCD(a,b)</p>

37 <p>LCM(20,b)=40, a =20</p>

36 <p>LCM(20,b)=40, a =20</p>

38 <p>GCD(20,b)=20 (since 20 is divisor of 40)</p>

37 <p>GCD(20,b)=20 (since 20 is divisor of 40)</p>

39 <p>40=20 x b / 20= b =40</p>

38 <p>40=20 x b / 20= b =40</p>

40 <p>Well explained 👍</p>

39 <p>Well explained 👍</p>

41 <h3>Problem 2</h3>

40 <h3>Problem 2</h3>

42 <p>If the product of two numbers is 800 and their GCD is 20, find their LCM.</p>

41 <p>If the product of two numbers is 800 and their GCD is 20, find their LCM.</p>

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

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

44 <p>LCM(a, b)= 40</p>

43 <p>LCM(a, b)= 40</p>

45 <h3>Explanation</h3>

44 <h3>Explanation</h3>

46 <p>LCM(a, b)=ab/GCD(a,b)</p>

45 <p>LCM(a, b)=ab/GCD(a,b)</p>

47 <p> a × b =800 and GCD=20;</p>

46 <p> a × b =800 and GCD=20;</p>

48 <p>LCM(a, b)=800/20= b =40 </p>

47 <p>LCM(a, b)=800/20= b =40 </p>

49 <p>Well explained 👍</p>

48 <p>Well explained 👍</p>

50 <h3>Problem 3</h3>

49 <h3>Problem 3</h3>

51 <p>What is the smallest common multiple of 20,40 and 60?</p>

50 <p>What is the smallest common multiple of 20,40 and 60?</p>

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

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

53 <p>Prime factors-</p>

52 <p>Prime factors-</p>

54 <p>20=22 x 5</p>

53 <p>20=22 x 5</p>

55 <p>40=23x5</p>

54 <p>40=23x5</p>

56 <p>60=22x3x5</p>

55 <p>60=22x3x5</p>

57 <p>LCM=23x3x5=120 </p>

56 <p>LCM=23x3x5=120 </p>

58 <p>Well explained 👍</p>

57 <p>Well explained 👍</p>

59 <h3>Problem 4</h3>

58 <h3>Problem 4</h3>

60 <p>If the ratio of two numbers is 1:2 and their LCM is 40, find the numbers?</p>

59 <p>If the ratio of two numbers is 1:2 and their LCM is 40, find the numbers?</p>

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

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

62 <p>Numbers are 20 and 40. </p>

61 <p>Numbers are 20 and 40. </p>

63 <h3>Explanation</h3>

62 <h3>Explanation</h3>

64 <p>Let the numbers be x and 2x.</p>

63 <p>Let the numbers be x and 2x.</p>

65 <p>LCM(x,2x)=2x</p>

64 <p>LCM(x,2x)=2x</p>

66 <p>LCM=40,</p>

65 <p>LCM=40,</p>

67 <p>So 2x=40</p>

66 <p>So 2x=40</p>

68 <p>x=20.</p>

67 <p>x=20.</p>

69 <p>Numbers are 20 and 40. </p>

68 <p>Numbers are 20 and 40. </p>

70 <p>Well explained 👍</p>

69 <p>Well explained 👍</p>

71 <h3>Problem 5</h3>

70 <h3>Problem 5</h3>

72 <p>Find the LCM of 20,40,50 and 60.</p>

71 <p>Find the LCM of 20,40,50 and 60.</p>

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

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

74 <p>LCM(20,40,50)=600</p>

73 <p>LCM(20,40,50)=600</p>

75 <h3>Explanation</h3>

74 <h3>Explanation</h3>

76 <p>Prime factors:</p>

75 <p>Prime factors:</p>

77 <p>20=22x5</p>

76 <p>20=22x5</p>

78 <p>40=23x5</p>

77 <p>40=23x5</p>

79 <p>50=2x52</p>

78 <p>50=2x52</p>

80 <p>60=22. x3x5 </p>

79 <p>60=22. x3x5 </p>

81 <p>LCM= 23 × 52x3=600</p>

80 <p>LCM= 23 × 52x3=600</p>

82 <p>Well explained 👍</p>

81 <p>Well explained 👍</p>

83 <h2>FAQs on LCM of 20 and 40</h2>

82 <h2>FAQs on LCM of 20 and 40</h2>

84 <h3>1.What is the LCM of 20?</h3>

83 <h3>1.What is the LCM of 20?</h3>

85 <h3>2.What is the LCM of 20,40 and 50?</h3>

84 <h3>2.What is the LCM of 20,40 and 50?</h3>

86 <p>The LCM of 20,40 and 50 is 200. </p>

85 <p>The LCM of 20,40 and 50 is 200. </p>

87 <h3>3.Write the LCM of 18 and 66?</h3>

86 <h3>3.Write the LCM of 18 and 66?</h3>

88 <p>Prime factorization of 18 = 2×32</p>

87 <p>Prime factorization of 18 = 2×32</p>

89 <p>Prime factorization of 66 = 11×3x2</p>

88 <p>Prime factorization of 66 = 11×3x2</p>

90 <p>LCM (12,15,45) = 32×2×11 = 198 </p>

89 <p>LCM (12,15,45) = 32×2×11 = 198 </p>

91 <h3>4.What is the full form of BODMAS?</h3>

90 <h3>4.What is the full form of BODMAS?</h3>

92 <p>BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and<a>subtraction</a>. </p>

91 <p>BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and<a>subtraction</a>. </p>

93 <h3>5.What is an index in math?</h3>

92 <h3>5.What is an index in math?</h3>

94 <h2>Important glossaries on the LCM of 20 and 40</h2>

93 <h2>Important glossaries on the LCM of 20 and 40</h2>

95 <p><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.</p>

94 <p><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.</p>

96 <p><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.</p>

95 <p><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.</p>

97 <p><strong>Co-prime numbers:</strong>numbers which have the only positive divisor of them both as 1. For example, 6 and 7. </p>

96 <p><strong>Co-prime numbers:</strong>numbers which have the only positive divisor of them both as 1. For example, 6 and 7. </p>

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

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

99 <p>▶</p>

98 <p>▶</p>

100 <h2>Hiralee Lalitkumar Makwana</h2>

99 <h2>Hiralee Lalitkumar Makwana</h2>

101 <h3>About the Author</h3>

100 <h3>About the Author</h3>

102 <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>

101 <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>

103 <h3>Fun Fact</h3>

102 <h3>Fun Fact</h3>

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

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