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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 707 · 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 30 and 54.
  2. 2.Find the LCM of 20 and 24.
  3. 3.Find the LCM of 32 and 20.
  4. 4.Find the HCF of 33 and 22.
  5. 5.Find the LCM of 27 and 24.
  6. 6.Find the LCM of 20 and 45.
  7. 7.Find the HCF of 12 and 8.
  8. 8.Find the LCM of 20 and 15.
  9. 9.Find the LCM of 7 and 8.
  10. 10.Find the LCM of 8 and 9.
  11. 11.Find the LCM of 12 and 9.
  12. 12.Find the LCM of 15 and 27.
  13. 13.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  14. 14.Find the LCM of 15, 12 and 8.
  15. 15.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  16. 16.Find the LCM of 12 and 27.
  17. 17.Find the HCF of 8 and 28.
  18. 18.Find the LCM of 16 and 10.
  19. 19.Find the HCF of 81 and 36.
  20. 20.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  21. 21.Find the LCM of 36 and 42.
  22. 22.Find the HCF of 24 and 64.
  23. 23.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  24. 24.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  25. 25.Find the LCM of 12, 3 and 8.
  26. 26.Find the HCF of 30 and 18.
  27. 27.Find the LCM of 12, 3 and 9.
  28. 28.Find the HCF of 56 and 72.
  29. 29.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  30. 30.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  31. 31.Find the LCM of 6, 13 and 4.
  32. 32.Find the LCM of 21 and 6.
  33. 33.Find the HCF of 42 and 28.
  34. 34.Find the LCM of 36 and 8.
  35. 35.Find the LCM of 4 and 14.
  36. 36.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  37. 37.Find the HCF of 66 and 77.
  38. 38.Find the LCM of 15 and 24.
  39. 39.Find the LCM of 42 and 48.
  40. 40.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?

Answer key

  1. 270
  2. 120
  3. 160
  4. 11
  5. 216
  6. 180
  7. 4
  8. 60
  9. 56
  10. 72
  11. 36
  12. 135
  13. 72
  14. 120
  15. 30
  16. 108
  17. 4
  18. 80
  19. 9
  20. 8
  21. 252
  22. 8
  23. 8
  24. 40
  25. 24
  26. 6
  27. 36
  28. 8
  29. 24
  30. 72
  31. 156
  32. 42
  33. 14
  34. 72
  35. 28
  36. 25
  37. 11
  38. 120
  39. 336
  40. 24

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