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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 255 · 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, 2 and 12.
  2. 2.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  3. 3.Find the HCF of 15 and 10.
  4. 4.Find the LCM of 2 and 5.
  5. 5.Find the HCF of 8 and 20.
  6. 6.Find the HCF of 112 and 98.
  7. 7.Find the LCM of 14 and 6.
  8. 8.Find the LCM of 2 and 9.
  9. 9.Find the LCM of 6, 4 and 15.
  10. 10.Find the HCF of 40 and 64.
  11. 11.Find the LCM of 8, 4 and 12.
  12. 12.Find the HCF of 45 and 75.
  13. 13.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  14. 14.Find the HCF of 75 and 45.
  15. 15.Find the LCM of 5, 4 and 11.
  16. 16.Find the HCF of 24 and 30.
  17. 17.Find the LCM of 54 and 48.
  18. 18.Find the LCM of 12, 3 and 10.
  19. 19.Find the LCM of 7, 14 and 3.
  20. 20.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  21. 21.Find the LCM of 5, 4 and 10.
  22. 22.Find the LCM of 42 and 12.
  23. 23.Find the HCF of 12 and 15.
  24. 24.Find the LCM of 15, 3 and 8.
  25. 25.Find the LCM of 12 and 42.
  26. 26.Find the HCF of 56 and 24.
  27. 27.Find the LCM of 10, 15 and 4.
  28. 28.Find the LCM of 7, 15 and 14.
  29. 29.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  30. 30.Find the LCM of 14 and 16.
  31. 31.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  32. 32.Find the LCM of 4, 12 and 6.
  33. 33.Find the LCM of 9, 7 and 3.
  34. 34.Find the HCF of 16 and 36.
  35. 35.Find the LCM of 14, 10 and 3.
  36. 36.Find the HCF of 45 and 36.
  37. 37.Find the HCF of 28 and 98.
  38. 38.Find the HCF of 72 and 63.
  39. 39.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  40. 40.Find the LCM of 13, 2 and 4.

Answer key

  1. 12
  2. 20
  3. 5
  4. 10
  5. 4
  6. 14
  7. 42
  8. 18
  9. 60
  10. 8
  11. 24
  12. 15
  13. 63
  14. 15
  15. 220
  16. 6
  17. 432
  18. 60
  19. 42
  20. 12
  21. 20
  22. 84
  23. 3
  24. 120
  25. 84
  26. 8
  27. 60
  28. 210
  29. 8
  30. 112
  31. 27
  32. 12
  33. 63
  34. 4
  35. 210
  36. 9
  37. 14
  38. 9
  39. 10
  40. 52

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