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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 523 · 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 9, 5 and 6.
  2. 2.Find the HCF of 16 and 12.
  3. 3.Find the LCM of 3 and 5.
  4. 4.Find the LCM of 20 and 15.
  5. 5.Find the HCF of 16 and 18.
  6. 6.Find the LCM of 18 and 30.
  7. 7.Find the HCF of 50 and 20.
  8. 8.Find the LCM of 12 and 20.
  9. 9.Find the LCM of 12 and 18.
  10. 10.Find the HCF of 28 and 63.
  11. 11.Find the LCM of 7 and 4.
  12. 12.Find the LCM of 3, 12 and 5.
  13. 13.Find the LCM of 36 and 8.
  14. 14.Find the HCF of 32 and 24.
  15. 15.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  16. 16.Find the LCM of 4, 14 and 5.
  17. 17.Find the HCF of 35 and 20.
  18. 18.Find the LCM of 10 and 15.
  19. 19.Find the LCM of 32 and 36.
  20. 20.Find the LCM of 5, 7 and 15.
  21. 21.Find the HCF of 24 and 18.
  22. 22.Find the LCM of 9, 3 and 11.
  23. 23.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  24. 24.Find the HCF of 15 and 12.
  25. 25.Find the HCF of 49 and 42.
  26. 26.Find the LCM of 5 and 9.
  27. 27.Find the HCF of 70 and 40.
  28. 28.Find the HCF of 8 and 10.
  29. 29.Find the HCF of 36 and 96.
  30. 30.Find the LCM of 21 and 15.
  31. 31.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  32. 32.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  33. 33.Find the LCM of 12, 4 and 10.
  34. 34.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  35. 35.Find the LCM of 4, 13 and 3.
  36. 36.Find the LCM of 5, 7 and 10.
  37. 37.Find the LCM of 14 and 12.
  38. 38.Find the LCM of 14, 4 and 6.
  39. 39.Find the HCF of 88 and 99.
  40. 40.Find the HCF of 105 and 60.

Answer key

  1. 90
  2. 4
  3. 15
  4. 60
  5. 2
  6. 90
  7. 10
  8. 60
  9. 36
  10. 7
  11. 28
  12. 60
  13. 72
  14. 8
  15. 12
  16. 140
  17. 5
  18. 30
  19. 288
  20. 105
  21. 6
  22. 99
  23. 48
  24. 3
  25. 7
  26. 45
  27. 10
  28. 2
  29. 12
  30. 105
  31. 6
  32. 8
  33. 60
  34. 48
  35. 156
  36. 70
  37. 84
  38. 84
  39. 11
  40. 15

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