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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 622 · 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 12 and 32.
  2. 2.Find the HCF of 24 and 108.
  3. 3.Find the LCM of 12 and 27.
  4. 4.Find the LCM of 12 and 9.
  5. 5.Find the LCM of 18 and 15.
  6. 6.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  7. 7.Find the LCM of 8 and 36.
  8. 8.Find the HCF of 12 and 18.
  9. 9.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  10. 10.Find the LCM of 10, 8 and 5.
  11. 11.Find the LCM of 28 and 36.
  12. 12.Find the HCF of 20 and 16.
  13. 13.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  14. 14.Find the LCM of 10 and 12.
  15. 15.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  16. 16.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  17. 17.Find the LCM of 15, 2 and 5.
  18. 18.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  19. 19.Find the HCF of 24 and 18.
  20. 20.Find the LCM of 10, 6 and 9.
  21. 21.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  22. 22.Find the LCM of 54 and 48.
  23. 23.Find the LCM of 6 and 4.
  24. 24.Find the LCM of 6 and 10.
  25. 25.Find the LCM of 28 and 16.
  26. 26.Find the LCM of 2, 6 and 12.
  27. 27.Find the LCM of 5, 3 and 10.
  28. 28.Find the LCM of 2, 11 and 12.
  29. 29.Find the HCF of 8 and 36.
  30. 30.Find the LCM of 10 and 4.
  31. 31.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  32. 32.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  33. 33.Find the LCM of 13, 6 and 9.
  34. 34.Find the HCF of 22 and 55.
  35. 35.Find the HCF of 6 and 16.
  36. 36.Find the HCF of 24 and 60.
  37. 37.Find the LCM of 5, 9 and 15.
  38. 38.Find the HCF of 81 and 45.
  39. 39.Find the LCM of 14, 4 and 3.
  40. 40.Find the LCM of 12, 3 and 7.

Answer key

  1. 96
  2. 12
  3. 108
  4. 36
  5. 90
  6. 16
  7. 72
  8. 6
  9. 8
  10. 40
  11. 252
  12. 4
  13. 72
  14. 60
  15. 18
  16. 16
  17. 30
  18. 24
  19. 6
  20. 90
  21. 32
  22. 432
  23. 12
  24. 30
  25. 112
  26. 12
  27. 30
  28. 132
  29. 4
  30. 20
  31. 8
  32. 9
  33. 234
  34. 11
  35. 2
  36. 12
  37. 45
  38. 9
  39. 84
  40. 84

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