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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 376 · 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 6 and 8.
  2. 2.Find the LCM of 36 and 32.
  3. 3.Find the LCM of 12, 7 and 6.
  4. 4.Find the LCM of 12, 2 and 5.
  5. 5.Find the HCF of 72 and 16.
  6. 6.Find the HCF of 72 and 45.
  7. 7.Find the HCF of 65 and 52.
  8. 8.Find the HCF of 66 and 77.
  9. 9.Find the HCF of 44 and 99.
  10. 10.Find the LCM of 9, 2 and 7.
  11. 11.Find the LCM of 12 and 28.
  12. 12.Find the LCM of 3, 2 and 14.
  13. 13.Find the LCM of 15, 13 and 5.
  14. 14.Find the LCM of 9, 3 and 2.
  15. 15.Find the HCF of 77 and 33.
  16. 16.Find the HCF of 28 and 20.
  17. 17.Find the LCM of 13, 9 and 2.
  18. 18.Find the LCM of 15 and 12.
  19. 19.Find the HCF of 25 and 40.
  20. 20.Find the LCM of 4, 6 and 14.
  21. 21.Find the LCM of 3 and 4.
  22. 22.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  23. 23.Find the LCM of 6 and 10.
  24. 24.Find the LCM of 28 and 32.
  25. 25.Find the HCF of 120 and 105.
  26. 26.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  27. 27.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  28. 28.Find the LCM of 15, 13 and 3.
  29. 29.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  30. 30.Find the LCM of 9 and 2.
  31. 31.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  32. 32.Find the HCF of 81 and 18.
  33. 33.Find the HCF of 108 and 96.
  34. 34.Find the LCM of 25 and 10.
  35. 35.Find the LCM of 9, 12 and 2.
  36. 36.Find the HCF of 42 and 24.
  37. 37.Find the LCM of 2, 12 and 3.
  38. 38.Find the LCM of 8, 9 and 12.
  39. 39.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  40. 40.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?

Answer key

  1. 24
  2. 288
  3. 84
  4. 60
  5. 8
  6. 9
  7. 13
  8. 11
  9. 11
  10. 126
  11. 84
  12. 42
  13. 195
  14. 18
  15. 11
  16. 4
  17. 234
  18. 60
  19. 5
  20. 84
  21. 12
  22. 30
  23. 30
  24. 224
  25. 15
  26. 63
  27. 15
  28. 195
  29. 14
  30. 18
  31. 72
  32. 9
  33. 12
  34. 50
  35. 36
  36. 6
  37. 12
  38. 72
  39. 36
  40. 28

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