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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 811 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.Find the LCM of 10, 8 and 3.
  2. 2.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  3. 3.Find the HCF of 20 and 30.
  4. 4.Find the LCM of 5, 4 and 15.
  5. 5.Find the LCM of 28 and 20.
  6. 6.Find the LCM of 10 and 6.
  7. 7.Find the LCM of 6 and 4.
  8. 8.Find the LCM of 14, 8 and 6.
  9. 9.Find the LCM of 12 and 16.
  10. 10.Find the LCM of 5 and 3.
  11. 11.Find the HCF of 126 and 70.
  12. 12.Find the LCM of 2, 7 and 15.
  13. 13.Find the HCF of 39 and 26.
  14. 14.Find the LCM of 7, 5 and 3.
  15. 15.Find the LCM of 9 and 2.
  16. 16.Find the HCF of 24 and 28.
  17. 17.Find the HCF of 24 and 36.
  18. 18.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  19. 19.Find the LCM of 14 and 10.
  20. 20.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  21. 21.Find the LCM of 12, 3 and 8.
  22. 22.Find the HCF of 28 and 16.
  23. 23.Find the LCM of 4, 14 and 10.
  24. 24.Find the HCF of 70 and 40.
  25. 25.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  26. 26.Find the LCM of 7, 10 and 3.
  27. 27.Find the HCF of 24 and 30.
  28. 28.Find the LCM of 18 and 12.
  29. 29.Find the LCM of 12, 6 and 3.
  30. 30.Find the LCM of 42 and 54.
  31. 31.Find the LCM of 10 and 8.
  32. 32.Find the HCF of 6 and 14.
  33. 33.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  34. 34.Find the HCF of 49 and 14.
  35. 35.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  36. 36.Find the LCM of 10 and 18.
  37. 37.Find the HCF of 28 and 35.
  38. 38.Find the HCF of 12 and 30.
  39. 39.Find the HCF of 28 and 21.
  40. 40.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?

Answer key

  1. 120
  2. 81
  3. 10
  4. 60
  5. 140
  6. 30
  7. 12
  8. 168
  9. 48
  10. 15
  11. 14
  12. 210
  13. 13
  14. 105
  15. 18
  16. 4
  17. 12
  18. 40
  19. 70
  20. 21
  21. 24
  22. 4
  23. 140
  24. 10
  25. 54
  26. 210
  27. 6
  28. 36
  29. 12
  30. 378
  31. 40
  32. 2
  33. 56
  34. 7
  35. 30
  36. 90
  37. 7
  38. 6
  39. 7
  40. 15

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