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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 167 · 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 2, 3 and 7.
  2. 2.Find the LCM of 32 and 36.
  3. 3.Find the LCM of 36 and 42.
  4. 4.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  5. 5.Find the HCF of 16 and 28.
  6. 6.Find the LCM of 36 and 16.
  7. 7.Find the LCM of 18 and 24.
  8. 8.Find the LCM of 7, 6 and 5.
  9. 9.Find the HCF of 96 and 60.
  10. 10.Find the LCM of 9, 14 and 6.
  11. 11.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  12. 12.Find the HCF of 21 and 12.
  13. 13.Find the LCM of 5, 3 and 9.
  14. 14.Find the LCM of 42 and 48.
  15. 15.Find the LCM of 16 and 10.
  16. 16.Find the LCM of 9 and 12.
  17. 17.Find the HCF of 63 and 81.
  18. 18.Find the LCM of 30 and 35.
  19. 19.Find the HCF of 12 and 14.
  20. 20.Find the LCM of 4, 5 and 10.
  21. 21.Find the HCF of 16 and 12.
  22. 22.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  23. 23.Find the HCF of 108 and 48.
  24. 24.Find the LCM of 14 and 10.
  25. 25.Find the LCM of 27 and 24.
  26. 26.Find the LCM of 5 and 3.
  27. 27.Find the HCF of 56 and 70.
  28. 28.Find the LCM of 9 and 2.
  29. 29.Find the LCM of 25 and 35.
  30. 30.Find the HCF of 36 and 96.
  31. 31.Find the LCM of 9, 4 and 3.
  32. 32.Find the LCM of 10 and 16.
  33. 33.Find the LCM of 30 and 36.
  34. 34.Find the LCM of 7, 3 and 6.
  35. 35.Find the HCF of 39 and 104.
  36. 36.Find the HCF of 48 and 84.
  37. 37.Find the HCF of 24 and 30.
  38. 38.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  39. 39.Find the LCM of 11, 7 and 2.
  40. 40.Find the HCF of 27 and 12.

Answer key

  1. 42
  2. 288
  3. 252
  4. 63
  5. 4
  6. 144
  7. 72
  8. 210
  9. 12
  10. 126
  11. 15
  12. 3
  13. 45
  14. 336
  15. 80
  16. 36
  17. 9
  18. 210
  19. 2
  20. 20
  21. 4
  22. 81
  23. 12
  24. 70
  25. 216
  26. 15
  27. 14
  28. 18
  29. 175
  30. 12
  31. 36
  32. 80
  33. 180
  34. 42
  35. 13
  36. 12
  37. 6
  38. 63
  39. 154
  40. 3

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