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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 462 · 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 3, 6 and 12.
  2. 2.Find the LCM of 24 and 21.
  3. 3.Find the HCF of 70 and 98.
  4. 4.Find the HCF of 30 and 48.
  5. 5.Find the LCM of 5, 7 and 14.
  6. 6.Find the LCM of 14 and 4.
  7. 7.Find the HCF of 63 and 81.
  8. 8.Find the HCF of 10 and 35.
  9. 9.Find the HCF of 20 and 36.
  10. 10.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  11. 11.Find the LCM of 10 and 14.
  12. 12.Find the LCM of 42 and 54.
  13. 13.Find the LCM of 15, 10 and 3.
  14. 14.Find the LCM of 8, 4 and 14.
  15. 15.Find the HCF of 9 and 12.
  16. 16.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  17. 17.Find the LCM of 14, 2 and 12.
  18. 18.Find the HCF of 117 and 52.
  19. 19.Find the HCF of 30 and 36.
  20. 20.Find the LCM of 15, 3 and 6.
  21. 21.Find the LCM of 54 and 48.
  22. 22.Find the LCM of 9 and 21.
  23. 23.Find the HCF of 84 and 96.
  24. 24.Find the HCF of 21 and 49.
  25. 25.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  26. 26.Find the LCM of 10, 12 and 5.
  27. 27.Find the LCM of 5, 10 and 13.
  28. 28.Find the HCF of 24 and 36.
  29. 29.Find the LCM of 42 and 36.
  30. 30.Find the LCM of 2 and 7.
  31. 31.Find the LCM of 11, 9 and 3.
  32. 32.Find the LCM of 9 and 2.
  33. 33.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  34. 34.Find the LCM of 14 and 12.
  35. 35.Find the LCM of 15, 14 and 3.
  36. 36.Find the HCF of 42 and 12.
  37. 37.Find the LCM of 27 and 15.
  38. 38.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  39. 39.Find the LCM of 4, 6 and 8.
  40. 40.Find the LCM of 10 and 8.

Answer key

  1. 12
  2. 168
  3. 14
  4. 6
  5. 70
  6. 28
  7. 9
  8. 5
  9. 4
  10. 18
  11. 70
  12. 378
  13. 30
  14. 56
  15. 3
  16. 20
  17. 84
  18. 13
  19. 6
  20. 30
  21. 432
  22. 63
  23. 12
  24. 7
  25. 10
  26. 60
  27. 130
  28. 12
  29. 252
  30. 14
  31. 99
  32. 18
  33. 27
  34. 84
  35. 210
  36. 6
  37. 135
  38. 25
  39. 24
  40. 40

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