LCM Practice Questions: Number Sets for Calculation

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Are you looking for sets of numbers to practice finding the Lowest Common Multiple (LCM)? This page provides lists of numbers perfect for LCM practice questions. Whether you're a student wanting to test your skills or a teacher looking for examples, these sets will help.

Try finding the LCM for each set below. The answers are provided in a separate section at the end of this article so you can check your work after trying.

Practice Sets: Find the LCM

Sets of Two Numbers:

  1. 4, 6
  2. 8, 12
  3. 15, 25
  4. 9, 15
  5. 7, 5
  6. 20, 30
  7. 18, 27
  8. 14, 21
  9. 16, 24
  10. 30, 50

Sets of Three Numbers:

  1. 6, 8, 12
  2. 10, 12, 15
  3. 5, 10, 20
  4. 3, 9, 18
  5. 4, 5, 6
  6. 8, 10, 16
  7. 9, 12, 18
  8. 7, 14, 21
  9. 15, 20, 30
  10. 2, 3, 5

Simple LCM Word Problems for Practice

Here are some word problems where finding the LCM is needed. Try to solve them first before checking the answers section.

  1. Two lights flash at different intervals. One flashes every 6 seconds, and the other flashes every 10 seconds. If they flash together now, after how many seconds will they next flash together?
  2. Pens are sold in packs of 8, and pencils are sold in packs of 12. What is the smallest number of pens and pencils you need to buy to have the exact same number of each?
  3. A shopkeeper makes gift bags. He has 15 chocolates and 20 candies. He wants to put the same number of chocolates and the same number of candies in each bag, using all of them. This question relates more to HCF for making bags, but if the question was about finding the first time a multiple of 15 items and 20 items align (like in ordering), what would be the LCM of 15 and 20? (Note: Rephrased slightly to fit LCM better)
  4. Bus route A departs every 9 minutes. Bus route B departs every 15 minutes. If both buses leave the station at 10:00 AM, at what time will they next leave the station together?

Answers to LCM Practice Questions

Check your work here!

Answers for Sets of Numbers:

  1. LCM(4, 6) = 12
  2. LCM(8, 12) = 24
  3. LCM(15, 25) = 75
  4. LCM(9, 15) = 45
  5. LCM(7, 5) = 35
  6. LCM(20, 30) = 60
  7. LCM(18, 27) = 54
  8. LCM(14, 21) = 42
  9. LCM(16, 24) = 48
  10. LCM(30, 50) = 150
  11. LCM(6, 8, 12) = 24
  12. LCM(10, 12, 15) = 60
  13. LCM(5, 10, 20) = 20
  14. LCM(3, 9, 18) = 18
  15. LCM(4, 5, 6) = 60
  16. LCM(8, 10, 16) = 80
  17. LCM(9, 12, 18) = 36
  18. LCM(7, 14, 21) = 42
  19. LCM(15, 20, 30) = 60
  20. LCM(2, 3, 5) = 30

Answers for Word Problems:

  1. LCM(6, 10) = 30. They will next flash together after 30 seconds.
  2. LCM(8, 12) = 24. You need to buy enough packs to get 24 pens and 24 pencils. (3 packs of pens, 2 packs of pencils). The question asks for the smallest number of each, which is 24.
  3. LCM(15, 20) = 60.
  4. LCM(9, 15) = 45. They will next leave together after 45 minutes, at 10:45 AM.

Need More Practice?

We hope these LCM questions were helpful for your practice. Understanding how to find the LCM is important for many math topics.

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