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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 270 · 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 5, 4 and 2.
  2. 2.Find the HCF of 6 and 10.
  3. 3.Find the LCM of 12 and 30.
  4. 4.Find the HCF of 8 and 14.
  5. 5.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  6. 6.Find the LCM of 4, 3 and 2.
  7. 7.Find the HCF of 99 and 44.
  8. 8.Find the LCM of 5 and 6.
  9. 9.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  10. 10.Find the LCM of 12 and 21.
  11. 11.Find the LCM of 3, 15 and 2.
  12. 12.Find the LCM of 9, 13 and 6.
  13. 13.Find the LCM of 4, 14 and 2.
  14. 14.Find the LCM of 4, 10 and 3.
  15. 15.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  16. 16.Find the LCM of 5, 10 and 9.
  17. 17.Find the LCM of 20 and 25.
  18. 18.Find the HCF of 90 and 20.
  19. 19.Find the LCM of 4 and 3.
  20. 20.Find the LCM of 14, 8 and 4.
  21. 21.Find the LCM of 6, 4 and 14.
  22. 22.Find the LCM of 20 and 36.
  23. 23.Find the HCF of 56 and 72.
  24. 24.Find the LCM of 36 and 28.
  25. 25.Find the LCM of 8 and 12.
  26. 26.Find the HCF of 36 and 63.
  27. 27.Find the HCF of 56 and 64.
  28. 28.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  29. 29.Find the LCM of 24 and 42.
  30. 30.Find the LCM of 6, 2 and 11.
  31. 31.Find the HCF of 36 and 30.
  32. 32.Find the LCM of 5, 2 and 11.
  33. 33.Find the HCF of 15 and 9.
  34. 34.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  35. 35.Find the HCF of 26 and 39.
  36. 36.Find the LCM of 8, 6 and 9.
  37. 37.Find the LCM of 2, 8 and 9.
  38. 38.Find the LCM of 9 and 12.
  39. 39.Find the LCM of 8 and 18.
  40. 40.Find the LCM of 6, 14 and 15.

Answer key

  1. 20
  2. 2
  3. 60
  4. 2
  5. 45
  6. 12
  7. 11
  8. 30
  9. 49
  10. 84
  11. 30
  12. 234
  13. 28
  14. 60
  15. 12
  16. 90
  17. 100
  18. 10
  19. 12
  20. 56
  21. 84
  22. 180
  23. 8
  24. 252
  25. 24
  26. 9
  27. 8
  28. 32
  29. 168
  30. 66
  31. 6
  32. 110
  33. 3
  34. 24
  35. 13
  36. 72
  37. 72
  38. 36
  39. 72
  40. 210

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