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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 268 · 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 42 and 54.
  2. 2.Find the HCF of 20 and 8.
  3. 3.Find the LCM of 28 and 8.
  4. 4.Find the LCM of 45 and 35.
  5. 5.Find the LCM of 20 and 25.
  6. 6.Find the HCF of 14 and 49.
  7. 7.Find the HCF of 32 and 72.
  8. 8.Find the HCF of 30 and 80.
  9. 9.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  10. 10.Find the HCF of 30 and 24.
  11. 11.Find the LCM of 12, 7 and 2.
  12. 12.Find the LCM of 5, 10 and 13.
  13. 13.Find the LCM of 3, 14 and 2.
  14. 14.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  15. 15.Find the HCF of 120 and 75.
  16. 16.Find the HCF of 40 and 24.
  17. 17.Find the LCM of 18 and 21.
  18. 18.Find the HCF of 60 and 105.
  19. 19.Find the LCM of 6 and 15.
  20. 20.Find the HCF of 112 and 126.
  21. 21.Find the LCM of 15 and 20.
  22. 22.Find the HCF of 14 and 16.
  23. 23.Find the LCM of 2, 5 and 10.
  24. 24.Find the LCM of 8, 4 and 11.
  25. 25.Find the HCF of 12 and 9.
  26. 26.Find the LCM of 5 and 3.
  27. 27.Find the HCF of 42 and 24.
  28. 28.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  29. 29.Find the HCF of 99 and 22.
  30. 30.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  31. 31.Find the HCF of 10 and 6.
  32. 32.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  33. 33.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  34. 34.Find the HCF of 56 and 24.
  35. 35.Find the LCM of 9, 4 and 15.
  36. 36.Find the HCF of 18 and 16.
  37. 37.Find the LCM of 15 and 27.
  38. 38.Find the LCM of 2, 3 and 5.
  39. 39.Find the LCM of 4, 3 and 7.
  40. 40.Find the LCM of 8 and 14.

Answer key

  1. 378
  2. 4
  3. 56
  4. 315
  5. 100
  6. 7
  7. 8
  8. 10
  9. 24
  10. 6
  11. 84
  12. 130
  13. 42
  14. 24
  15. 15
  16. 8
  17. 126
  18. 15
  19. 30
  20. 14
  21. 60
  22. 2
  23. 10
  24. 88
  25. 3
  26. 15
  27. 6
  28. 28
  29. 11
  30. 63
  31. 2
  32. 30
  33. 10
  34. 8
  35. 180
  36. 2
  37. 135
  38. 30
  39. 84
  40. 56

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