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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 355 · 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 36 and 20.
  2. 2.Find the LCM of 4, 6 and 12.
  3. 3.Find the HCF of 105 and 30.
  4. 4.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  5. 5.Find the LCM of 12 and 9.
  6. 6.Find the LCM of 2, 13 and 6.
  7. 7.Find the LCM of 20 and 28.
  8. 8.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  9. 9.Find the LCM of 2, 6 and 15.
  10. 10.Find the LCM of 12, 5 and 15.
  11. 11.Find the HCF of 78 and 65.
  12. 12.Find the LCM of 2, 14 and 6.
  13. 13.Find the HCF of 26 and 65.
  14. 14.Find the HCF of 65 and 26.
  15. 15.Find the LCM of 2, 4 and 7.
  16. 16.Find the HCF of 40 and 30.
  17. 17.Find the LCM of 14 and 8.
  18. 18.Find the LCM of 42 and 30.
  19. 19.Find the HCF of 24 and 27.
  20. 20.Find the LCM of 10, 5 and 7.
  21. 21.Find the LCM of 15, 4 and 9.
  22. 22.Find the HCF of 40 and 16.
  23. 23.Find the LCM of 54 and 24.
  24. 24.Find the LCM of 15 and 24.
  25. 25.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  26. 26.Find the LCM of 10 and 6.
  27. 27.Find the LCM of 2 and 3.
  28. 28.Find the HCF of 24 and 56.
  29. 29.Find the LCM of 8, 4 and 3.
  30. 30.Find the LCM of 36 and 8.
  31. 31.Find the LCM of 15 and 9.
  32. 32.Find the LCM of 5 and 6.
  33. 33.Find the LCM of 12, 4 and 15.
  34. 34.Find the LCM of 7, 3 and 10.
  35. 35.Find the LCM of 12, 8 and 6.
  36. 36.Find the LCM of 20 and 8.
  37. 37.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  38. 38.Find the LCM of 40 and 25.
  39. 39.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  40. 40.Find the LCM of 6 and 7.

Answer key

  1. 180
  2. 12
  3. 15
  4. 14
  5. 36
  6. 78
  7. 140
  8. 32
  9. 30
  10. 60
  11. 13
  12. 42
  13. 13
  14. 13
  15. 28
  16. 10
  17. 56
  18. 210
  19. 3
  20. 70
  21. 180
  22. 8
  23. 216
  24. 120
  25. 24
  26. 30
  27. 6
  28. 8
  29. 24
  30. 72
  31. 45
  32. 30
  33. 60
  34. 210
  35. 24
  36. 40
  37. 21
  38. 200
  39. 24
  40. 42

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