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1 - <p>334 Learners</p>

1 + <p>360 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 24 and 40. 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 24 and 40?</h2>

5 <h3>LCM of 24 and 40 Using Listing the Multiples</h3>

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

7 <p> - Multiples of 24= 24,48,72,96,120,…</p>

8 <p> - Multiples of 40 = 40,80,120,160,200</p>

9 <p><strong>Step 2: </strong>Find the smallest number common between the written multiples of 24 and 40</p>

10 <p>- The smallest<a>common multiple</a>is 120.</p>

11 <p>Thus, LCM (24,40) = 120 </p>

12 <h3>LCM of 24 and 40 Using Prime Factorization</h3>

13 <p><strong>Step1:</strong> factorize the numbers into its prime<a>factors</a> </p>

14 <p>24 = 2×2×2×3</p>

15 <p>40 = 2×2×2×5</p>

16 <p><strong>Step2</strong>: find the highest<a>powers</a>of the factors of 24 and 40</p>

17 <p><strong>Step3</strong>: Multiply the highest powers </p>

18 <p>LCM(24,40) = 120</p>

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21 <h3>LCM of 24 and 40 Using Division Method</h3>

20 <h3>LCM of 24 and 40 Using Division Method</h3>

22 <ul><li>Write the numbers 42,40 in a row </li>

21 <ul><li>Write the numbers 42,40 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 (24,40) = 120 </li>

26 </ul><ul><li>LCM (24,40) = 120 </li>

28 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 24 and 40</h2>

27 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 24 and 40</h2>

29 <p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 3 and 8. 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 3 and 8. Try to avoid them. </p>

30 <h3>Problem 1</h3>

29 <h3>Problem 1</h3>

31 <p>Verify the LCM-GCF relationship using the formula LCM(a,b)=a×b/GCF(a,b) for 18 and 24.</p>

30 <p>Verify the LCM-GCF relationship using the formula LCM(a,b)=a×b/GCF(a,b) for 18 and 24.</p>

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

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

33 <p>GCF of 18 and 24 is 6.</p>

32 <p>GCF of 18 and 24 is 6.</p>

34 <p>Use the formula: LCM(18,24)=18×24/6=432/6=72 </p>

33 <p>Use the formula: LCM(18,24)=18×24/6=432/6=72 </p>

35 <h3>Explanation</h3>

34 <h3>Explanation</h3>

36 <p>LCM = 72, relationship verified. </p>

35 <p>LCM = 72, relationship verified. </p>

37 <p>Well explained 👍</p>

36 <p>Well explained 👍</p>

38 <h3>Problem 2</h3>

37 <h3>Problem 2</h3>

39 <p>A running track is 24 meters long and 40 meters wide. What is the shortest length of a fence needed to enclose the track?</p>

38 <p>A running track is 24 meters long and 40 meters wide. What is the shortest length of a fence needed to enclose the track?</p>

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

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

41 <p>The LCM of 24 and 40 is 120. </p>

40 <p>The LCM of 24 and 40 is 120. </p>

42 <h3>Explanation</h3>

41 <h3>Explanation</h3>

43 <p>The smallest length that can be divided by both 24 and 40 can be divided by is 120. The shortest length of the fence is 120 meters. The LCM expresses the smallest common interval between the digits. </p>

42 <p>The smallest length that can be divided by both 24 and 40 can be divided by is 120. The shortest length of the fence is 120 meters. The LCM expresses the smallest common interval between the digits. </p>

44 <p>Well explained 👍</p>

43 <p>Well explained 👍</p>

45 <h3>Problem 3</h3>

44 <h3>Problem 3</h3>

46 <p>The LCM of two numbers is 72. One of the numbers is 24. What is the other number?</p>

45 <p>The LCM of two numbers is 72. One of the numbers is 24. What is the other number?</p>

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

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

48 <p>LCM = Product of the two numbers/GCF of the two numbers</p>

47 <p>LCM = Product of the two numbers/GCF of the two numbers</p>

49 <p>The GCD of 24 and the unknown number is 6 (since LCM is 72).</p>

48 <p>The GCD of 24 and the unknown number is 6 (since LCM is 72).</p>

50 <p>Let the unknown number be x: 72=24×x/6</p>

49 <p>Let the unknown number be x: 72=24×x/6</p>

51 <p>Solve: 72×6=24×x⇒x=432/24=18 </p>

50 <p>Solve: 72×6=24×x⇒x=432/24=18 </p>

52 <h3>Explanation</h3>

51 <h3>Explanation</h3>

53 <p>The other number is 18. </p>

52 <p>The other number is 18. </p>

54 <p>Well explained 👍</p>

53 <p>Well explained 👍</p>

55 <h2>FAQ’s on LCM of 24 and 40</h2>

54 <h2>FAQ’s on LCM of 24 and 40</h2>

56 <h3>1.List the factors of 24 and 40.</h3>

55 <h3>1.List the factors of 24 and 40.</h3>

57 <p> Numbers that are multiplied to reach 24 and 40 are called the factors of 24 and 40. </p>

56 <p> Numbers that are multiplied to reach 24 and 40 are called the factors of 24 and 40. </p>

58 <p>Factors of 24 are 1,2,3,4,6,8,12,24</p>

57 <p>Factors of 24 are 1,2,3,4,6,8,12,24</p>

59 <p>Factors of 40 are 1,2,4,5,8,10,20,40 </p>

58 <p>Factors of 40 are 1,2,4,5,8,10,20,40 </p>

60 <h3>2.What is the LCM of 40 and 40?</h3>

59 <h3>2.What is the LCM of 40 and 40?</h3>

61 <p>The LCM of the numbers is 40 itself. It is the smallest number that is divisible by itself. </p>

60 <p>The LCM of the numbers is 40 itself. It is the smallest number that is divisible by itself. </p>

62 <h3>3.What is the LCM of 24 and 36?</h3>

61 <h3>3.What is the LCM of 24 and 36?</h3>

63 <p>72 is the smallest number that appears commonly on the lists of the numbers 24 and 36. </p>

62 <p>72 is the smallest number that appears commonly on the lists of the numbers 24 and 36. </p>

64 <p>LCM (24,36)= 72 </p>

63 <p>LCM (24,36)= 72 </p>

65 <h3>4. What is the LCM of 24 and 30?</h3>

64 <h3>4. What is the LCM of 24 and 30?</h3>

66 <p>120 is the smallest number that appears commonly on the lists of the numbers 24 and 30. </p>

65 <p>120 is the smallest number that appears commonly on the lists of the numbers 24 and 30. </p>

67 <p>LCM (24,30)= 120 </p>

66 <p>LCM (24,30)= 120 </p>

68 <h3>5. Is 12 a factor of 20?</h3>

67 <h3>5. Is 12 a factor of 20?</h3>

69 <p>No, 12 is not a factor of 20. When we divide 20 by 12, a remainder is left behind which makes it not a factor. </p>

68 <p>No, 12 is not a factor of 20. When we divide 20 by 12, a remainder is left behind which makes it not a factor. </p>

70 <p>20/12 = 1.667 </p>

69 <p>20/12 = 1.667 </p>

71 <h2>Important glossaries for the LCM of 24 and 40</h2>

70 <h2>Important glossaries for the LCM of 24 and 40</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>