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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 457 · 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 40 and 35.
  2. 2.Find the HCF of 28 and 20.
  3. 3.Find the HCF of 20 and 24.
  4. 4.Find the HCF of 50 and 70.
  5. 5.Find the LCM of 12 and 54.
  6. 6.Find the LCM of 6, 2 and 15.
  7. 7.Find the HCF of 4 and 6.
  8. 8.Find the LCM of 5, 14 and 7.
  9. 9.Find the LCM of 6, 12 and 2.
  10. 10.Find the LCM of 16 and 10.
  11. 11.Find the LCM of 25 and 20.
  12. 12.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  13. 13.Find the HCF of 6 and 27.
  14. 14.Find the LCM of 4, 2 and 8.
  15. 15.Find the LCM of 3, 2 and 6.
  16. 16.Find the HCF of 26 and 65.
  17. 17.Find the HCF of 35 and 56.
  18. 18.Find the LCM of 12, 2 and 14.
  19. 19.Find the LCM of 9 and 6.
  20. 20.Find the LCM of 18 and 8.
  21. 21.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  22. 22.Find the LCM of 16 and 14.
  23. 23.Find the LCM of 15 and 6.
  24. 24.Find the HCF of 21 and 9.
  25. 25.Find the LCM of 14, 6 and 12.
  26. 26.Find the LCM of 12, 3 and 7.
  27. 27.Find the LCM of 10, 15 and 5.
  28. 28.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  29. 29.Find the LCM of 8, 2 and 10.
  30. 30.Find the LCM of 10 and 25.
  31. 31.Find the LCM of 18 and 42.
  32. 32.Find the LCM of 8 and 6.
  33. 33.Find the LCM of 8 and 10.
  34. 34.Find the LCM of 2, 10 and 14.
  35. 35.Find the LCM of 10, 5 and 3.
  36. 36.Find the HCF of 120 and 45.
  37. 37.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  39. 39.Find the LCM of 45 and 20.
  40. 40.Find the HCF of 12 and 28.

Answer key

  1. 280
  2. 4
  3. 4
  4. 10
  5. 108
  6. 30
  7. 2
  8. 70
  9. 12
  10. 80
  11. 100
  12. 32
  13. 3
  14. 8
  15. 6
  16. 13
  17. 7
  18. 84
  19. 18
  20. 72
  21. 25
  22. 112
  23. 30
  24. 3
  25. 84
  26. 84
  27. 30
  28. 81
  29. 40
  30. 50
  31. 126
  32. 24
  33. 40
  34. 70
  35. 30
  36. 15
  37. 12
  38. 56
  39. 180
  40. 4

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