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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 564 · 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 and 5.
  2. 2.Find the HCF of 21 and 18.
  3. 3.Find the LCM of 7 and 3.
  4. 4.Find the HCF of 44 and 55.
  5. 5.Find the LCM of 10, 3 and 6.
  6. 6.Find the LCM of 4, 13 and 3.
  7. 7.Find the LCM of 48 and 42.
  8. 8.Find the HCF of 20 and 50.
  9. 9.Find the HCF of 18 and 42.
  10. 10.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  11. 11.Find the HCF of 15 and 35.
  12. 12.Find the LCM of 10, 2 and 15.
  13. 13.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  14. 14.Find the HCF of 105 and 90.
  15. 15.Find the HCF of 54 and 42.
  16. 16.Find the LCM of 8 and 6.
  17. 17.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  18. 18.Find the LCM of 12, 4 and 8.
  19. 19.Find the LCM of 7, 3 and 4.
  20. 20.Find the LCM of 8, 5 and 6.
  21. 21.Find the LCM of 4, 8 and 9.
  22. 22.Find the LCM of 12 and 54.
  23. 23.Find the LCM of 5 and 4.
  24. 24.Find the LCM of 12, 3 and 9.
  25. 25.Find the LCM of 6 and 27.
  26. 26.Find the LCM of 11, 2 and 14.
  27. 27.Find the LCM of 54 and 42.
  28. 28.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  29. 29.Find the LCM of 32 and 36.
  30. 30.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  31. 31.Find the LCM of 14, 3 and 15.
  32. 32.Find the HCF of 80 and 90.
  33. 33.Find the LCM of 5 and 8.
  34. 34.Find the HCF of 96 and 84.
  35. 35.Find the LCM of 35 and 20.
  36. 36.Find the HCF of 12 and 8.
  37. 37.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  38. 38.Find the LCM of 15 and 27.
  39. 39.Find the HCF of 24 and 56.
  40. 40.Find the LCM of 2, 7 and 4.

Answer key

  1. 15
  2. 3
  3. 21
  4. 11
  5. 30
  6. 156
  7. 336
  8. 10
  9. 6
  10. 6
  11. 5
  12. 30
  13. 48
  14. 15
  15. 6
  16. 24
  17. 30
  18. 24
  19. 84
  20. 120
  21. 72
  22. 108
  23. 20
  24. 36
  25. 54
  26. 154
  27. 378
  28. 10
  29. 288
  30. 27
  31. 210
  32. 10
  33. 40
  34. 12
  35. 140
  36. 4
  37. 36
  38. 135
  39. 8
  40. 28

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