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1 - <p>341 Learners</p>

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

3 <p>LCM is a common multiple, the smallest value between the numbers 5 and 8. 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 5 and 8?</h2>

5 <h3>LCM of 5 and 8 Using Listing the Multiples</h3>

6 <p><strong>Step 1:</strong>Write down the multiples of the<a>numbers</a>. Don’t stop too early.</p>

7 <p>Multiples of 5 = 5,10,15,20,25,30,35,40,…</p>

8 <p>Multiples of 8 = 8, 16,24,32,40,…</p>

9 <p><strong>Step 2:</strong>Find the smallest number common between the written multiples of 5 and 8</p>

10 <p>The smallest<a>common multiple</a>is 40</p>

11 <p>Thus, LCM(5,8) = 40</p>

12 <h3>LCM of 5 and 8 Using Prime Factorization</h3>

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

14 <p>5 = 5×1</p>

15 <p>8 = 2×2×2</p>

16 <p><strong>Step 2:</strong>find the highest<a>powers</a>of the factors of 5 and 8</p>

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

18 <p>LCM(5,8) = 40</p>

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21 <h3>LCM of 5 and 8 Using Division Method</h3>

20 <h3>LCM of 5 and 8 Using Division Method</h3>

22 <ul><li>Write the numbers 5,8 in a row </li>

21 <ul><li>Write the numbers 5,8 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(5,8) = 40 </li>

26 </ul><ul><li>LCM(5,8) = 40 </li>

28 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 5 and 8</h2>

27 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 5 and 8</h2>

29 <p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 5 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 5 and 8. Try to avoid them. </p>

30 <h3>Problem 1</h3>

29 <h3>Problem 1</h3>

31 <p>One cookie jar is filled every 5 hours, and the candy jar is filled every 8 hours. If the jars started filling at the same time, how long will it take for the both of them to be filled?</p>

30 <p>One cookie jar is filled every 5 hours, and the candy jar is filled every 8 hours. If the jars started filling at the same time, how long will it take for the both of them to be filled?</p>

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

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

33 <p>The LCM of 5 and 8 is 40. </p>

32 <p>The LCM of 5 and 8 is 40. </p>

34 <h3>Explanation</h3>

33 <h3>Explanation</h3>

35 <p>Both jars will be filled at the same time again in 40 hours, which is the LCM of the given numbers, expressing the smallest time interval. </p>

34 <p>Both jars will be filled at the same time again in 40 hours, which is the LCM of the given numbers, expressing the smallest time interval. </p>

36 <p>Well explained 👍</p>

35 <p>Well explained 👍</p>

37 <h3>Problem 2</h3>

36 <h3>Problem 2</h3>

38 <p>Find the LCM of 5² and 8².</p>

37 <p>Find the LCM of 5² and 8².</p>

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

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

40 <p>52=25</p>

39 <p>52=25</p>

41 <p>82=64</p>

40 <p>82=64</p>

42 <p>Now find the LCM of 25 and 64. The prime factorizations are:</p>

41 <p>Now find the LCM of 25 and 64. The prime factorizations are:</p>

43 <p>25=52</p>

42 <p>25=52</p>

44 <p>64=22</p>

43 <p>64=22</p>

45 <p>The LCM is found by taking the highest powers of all prime factors:</p>

44 <p>The LCM is found by taking the highest powers of all prime factors:</p>

46 <p>LCM(25,64)=52×26=25×64=1600 </p>

45 <p>LCM(25,64)=52×26=25×64=1600 </p>

47 <h3>Explanation</h3>

46 <h3>Explanation</h3>

48 <p>So, the LCM is 1600. </p>

47 <p>So, the LCM is 1600. </p>

49 <p>Well explained 👍</p>

48 <p>Well explained 👍</p>

50 <h3>Problem 3</h3>

49 <h3>Problem 3</h3>

51 <p>By what percentage must 5 be increased to reach the LCM of 5 and 8?</p>

50 <p>By what percentage must 5 be increased to reach the LCM of 5 and 8?</p>

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

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

53 <p>The LCM of 5 and 8 is 40. Now, calculate the percentage increase from 5 to 40:</p>

52 <p>The LCM of 5 and 8 is 40. Now, calculate the percentage increase from 5 to 40:</p>

54 <p>Percentage Increase=(540-5 )/5×100=35/5 ×100=700% </p>

53 <p>Percentage Increase=(540-5 )/5×100=35/5 ×100=700% </p>

55 <h3>Explanation</h3>

54 <h3>Explanation</h3>

56 <p>So, 5 must be increased by 700% to reach 40.</p>

55 <p>So, 5 must be increased by 700% to reach 40.</p>

57 <p>Well explained 👍</p>

56 <p>Well explained 👍</p>

58 <h2>FAQ’s on LCM of 5 and 8</h2>

57 <h2>FAQ’s on LCM of 5 and 8</h2>

59 <h3>1.What is the LCM of 4,5 and 8?</h3>

58 <h3>1.What is the LCM of 4,5 and 8?</h3>

60 <p>LCM(4,5,8) = 40</p>

59 <p>LCM(4,5,8) = 40</p>

61 <p>40 is the smallest number that appears commonly on the lists of the numbers 4,5 and 8. </p>

60 <p>40 is the smallest number that appears commonly on the lists of the numbers 4,5 and 8. </p>

62 <h3>2.What is the HCF of 5 and 8?</h3>

61 <h3>2.What is the HCF of 5 and 8?</h3>

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

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

64 <p>Factors of 8 = 1,2,4,8 </p>

63 <p>Factors of 8 = 1,2,4,8 </p>

65 <p>There are no<a>common factors</a>between 5 and 8, the HCF is 5 and 8 is 1. </p>

64 <p>There are no<a>common factors</a>between 5 and 8, the HCF is 5 and 8 is 1. </p>

66 <h3>3.What are the factors of 8 and 5?</h3>

65 <h3>3.What are the factors of 8 and 5?</h3>

67 <p>Factors of 8 = 1,2,4,8</p>

66 <p>Factors of 8 = 1,2,4,8</p>

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

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

69 <p>Numbers that are multiplied to reach 8 and 5 are called the factors of 8 and 5. </p>

68 <p>Numbers that are multiplied to reach 8 and 5 are called the factors of 8 and 5. </p>

70 <h3>4.What is the LCM of 12 and 15?</h3>

69 <h3>4.What is the LCM of 12 and 15?</h3>

71 <p>60 is the smallest number that appears commonly on the lists of the numbers 12 and 15.</p>

70 <p>60 is the smallest number that appears commonly on the lists of the numbers 12 and 15.</p>

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

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

73 <h3>5.What is the LCM of 16 and 20?</h3>

72 <h3>5.What is the LCM of 16 and 20?</h3>

74 <p>LCM (16,20) = 80</p>

73 <p>LCM (16,20) = 80</p>

75 <p>80 is the smallest number that appears commonly on the lists of the numbers 16 and 20. </p>

74 <p>80 is the smallest number that appears commonly on the lists of the numbers 16 and 20. </p>

76 <h2>Important glossaries for LCM of 5 and 8</h2>

75 <h2>Important glossaries for LCM of 5 and 8</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>