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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 324 · 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, 6 and 7.
  2. 2.Find the HCF of 45 and 18.
  3. 3.Find the LCM of 13, 2 and 12.
  4. 4.Find the LCM of 8, 7 and 12.
  5. 5.Find the HCF of 22 and 55.
  6. 6.Find the HCF of 20 and 8.
  7. 7.Find the LCM of 30 and 25.
  8. 8.Find the HCF of 40 and 48.
  9. 9.Find the LCM of 12 and 8.
  10. 10.Find the LCM of 6, 9 and 12.
  11. 11.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  12. 12.Find the LCM of 4, 8 and 6.
  13. 13.Find the HCF of 28 and 42.
  14. 14.Find the HCF of 75 and 105.
  15. 15.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  16. 16.Find the LCM of 7, 3 and 6.
  17. 17.Find the LCM of 48 and 42.
  18. 18.Find the HCF of 8 and 10.
  19. 19.Find the LCM of 32 and 28.
  20. 20.Find the LCM of 7, 14 and 8.
  21. 21.Find the LCM of 12 and 32.
  22. 22.Find the LCM of 6, 14 and 5.
  23. 23.Find the HCF of 35 and 45.
  24. 24.Find the HCF of 24 and 40.
  25. 25.Find the HCF of 81 and 36.
  26. 26.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  27. 27.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  28. 28.Find the LCM of 12, 3 and 9.
  29. 29.Find the LCM of 5, 13 and 3.
  30. 30.Find the LCM of 28 and 24.
  31. 31.Find the HCF of 81 and 63.
  32. 32.Find the HCF of 45 and 10.
  33. 33.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  34. 34.Find the LCM of 2 and 7.
  35. 35.Find the HCF of 10 and 4.
  36. 36.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  37. 37.Find the LCM of 6 and 8.
  38. 38.Find the LCM of 45 and 10.
  39. 39.Find the LCM of 9 and 7.
  40. 40.Find the HCF of 10 and 16.

Answer key

  1. 84
  2. 9
  3. 156
  4. 168
  5. 11
  6. 4
  7. 150
  8. 8
  9. 24
  10. 36
  11. 42
  12. 24
  13. 14
  14. 15
  15. 42
  16. 42
  17. 336
  18. 2
  19. 224
  20. 56
  21. 96
  22. 210
  23. 5
  24. 8
  25. 9
  26. 10
  27. 9
  28. 36
  29. 195
  30. 168
  31. 9
  32. 5
  33. 12
  34. 14
  35. 2
  36. 32
  37. 24
  38. 90
  39. 63
  40. 2

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