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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 320 · 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 10, 3 and 2.
  2. 2.Find the LCM of 4, 10 and 7.
  3. 3.Find the HCF of 63 and 81.
  4. 4.Find the HCF of 20 and 25.
  5. 5.Find the LCM of 14, 6 and 3.
  6. 6.Find the LCM of 7, 6 and 14.
  7. 7.Find the LCM of 6, 3 and 13.
  8. 8.Find the HCF of 56 and 40.
  9. 9.Find the HCF of 18 and 42.
  10. 10.Find the LCM of 36 and 30.
  11. 11.Find the HCF of 35 and 49.
  12. 12.Find the LCM of 15 and 25.
  13. 13.Find the HCF of 45 and 35.
  14. 14.Find the LCM of 8, 5 and 4.
  15. 15.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  16. 16.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  17. 17.Find the LCM of 28 and 20.
  18. 18.Find the HCF of 8 and 10.
  19. 19.Find the HCF of 32 and 24.
  20. 20.Find the LCM of 4 and 6.
  21. 21.Find the LCM of 10, 13 and 5.
  22. 22.Find the LCM of 36 and 28.
  23. 23.Find the HCF of 35 and 14.
  24. 24.Find the HCF of 42 and 70.
  25. 25.Find the LCM of 2 and 7.
  26. 26.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  27. 27.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  28. 28.Find the LCM of 3 and 2.
  29. 29.Find the LCM of 6, 11 and 2.
  30. 30.Find the HCF of 40 and 50.
  31. 31.Find the LCM of 8, 4 and 14.
  32. 32.Find the LCM of 12 and 21.
  33. 33.Find the LCM of 15, 13 and 5.
  34. 34.Find the HCF of 77 and 44.
  35. 35.Find the LCM of 54 and 42.
  36. 36.Find the LCM of 3, 6 and 14.
  37. 37.Find the HCF of 28 and 126.
  38. 38.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  39. 39.Find the LCM of 2, 8 and 11.
  40. 40.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?

Answer key

  1. 30
  2. 140
  3. 9
  4. 5
  5. 42
  6. 42
  7. 78
  8. 8
  9. 6
  10. 180
  11. 7
  12. 75
  13. 5
  14. 40
  15. 6
  16. 63
  17. 140
  18. 2
  19. 8
  20. 12
  21. 130
  22. 252
  23. 7
  24. 14
  25. 14
  26. 20
  27. 27
  28. 6
  29. 66
  30. 10
  31. 56
  32. 84
  33. 195
  34. 11
  35. 378
  36. 42
  37. 14
  38. 16
  39. 88
  40. 16

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