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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 312 · 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 8, 2 and 5.
  2. 2.Find the LCM of 10 and 14.
  3. 3.Find the HCF of 24 and 21.
  4. 4.Find the HCF of 135 and 75.
  5. 5.Find the LCM of 9 and 21.
  6. 6.Find the LCM of 11, 2 and 10.
  7. 7.Find the LCM of 54 and 48.
  8. 8.Find the HCF of 36 and 96.
  9. 9.Find the HCF of 80 and 50.
  10. 10.Find the LCM of 14, 3 and 8.
  11. 11.Find the LCM of 14 and 12.
  12. 12.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 36. What is the other number?
  13. 13.Find the LCM of 30 and 25.
  14. 14.Find the LCM of 12 and 54.
  15. 15.Find the HCF of 30 and 40.
  16. 16.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  17. 17.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  18. 18.Find the LCM of 3, 7 and 14.
  19. 19.Find the HCF of 50 and 20.
  20. 20.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  21. 21.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  22. 22.Find the HCF of 40 and 24.
  23. 23.Find the LCM of 10 and 12.
  24. 24.Find the LCM of 8 and 3.
  25. 25.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  26. 26.Find the LCM of 3, 7 and 2.
  27. 27.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  28. 28.Find the LCM of 2, 9 and 3.
  29. 29.Find the HCF of 48 and 18.
  30. 30.Find the HCF of 21 and 28.
  31. 31.Find the LCM of 4, 12 and 8.
  32. 32.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  33. 33.Find the LCM of 12 and 42.
  34. 34.Find the LCM of 4, 8 and 2.
  35. 35.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  36. 36.Find the LCM of 4 and 6.
  37. 37.Find the HCF of 8 and 10.
  38. 38.Find the LCM of 4 and 18.
  39. 39.Find the LCM of 8, 3 and 12.
  40. 40.Find the LCM of 4 and 7.

Answer key

  1. 40
  2. 70
  3. 3
  4. 15
  5. 63
  6. 110
  7. 432
  8. 12
  9. 10
  10. 168
  11. 84
  12. 42
  13. 150
  14. 108
  15. 10
  16. 24
  17. 36
  18. 42
  19. 10
  20. 21
  21. 12
  22. 8
  23. 60
  24. 24
  25. 10
  26. 42
  27. 12
  28. 18
  29. 6
  30. 7
  31. 24
  32. 20
  33. 84
  34. 8
  35. 21
  36. 12
  37. 2
  38. 36
  39. 24
  40. 28

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