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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 194 · 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 HCF of 30 and 25.
  2. 2.Find the LCM of 2, 14 and 6.
  3. 3.Find the LCM of 6, 4 and 5.
  4. 4.Find the LCM of 6, 8 and 9.
  5. 5.Find the HCF of 105 and 45.
  6. 6.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  7. 7.Find the HCF of 54 and 48.
  8. 8.Find the LCM of 5, 10 and 8.
  9. 9.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  10. 10.Find the HCF of 25 and 45.
  11. 11.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  12. 12.Find the LCM of 6, 11 and 9.
  13. 13.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  14. 14.Find the LCM of 15, 6 and 5.
  15. 15.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  16. 16.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  17. 17.Find the HCF of 30 and 12.
  18. 18.Find the HCF of 135 and 60.
  19. 19.Find the LCM of 3, 8 and 2.
  20. 20.Find the LCM of 6, 2 and 14.
  21. 21.Find the LCM of 12 and 42.
  22. 22.Find the LCM of 8, 9 and 4.
  23. 23.Find the LCM of 7, 3 and 2.
  24. 24.Find the LCM of 2, 7 and 15.
  25. 25.Find the LCM of 8, 5 and 10.
  26. 26.Find the HCF of 14 and 35.
  27. 27.Find the HCF of 30 and 80.
  28. 28.Find the LCM of 12 and 8.
  29. 29.Find the LCM of 2, 3 and 10.
  30. 30.Find the LCM of 5, 13 and 10.
  31. 31.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  32. 32.Find the LCM of 5 and 2.
  33. 33.Find the HCF of 65 and 52.
  34. 34.Find the LCM of 28 and 32.
  35. 35.Find the LCM of 20 and 32.
  36. 36.Find the LCM of 4, 10 and 7.
  37. 37.Find the LCM of 12, 10 and 15.
  38. 38.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  39. 39.Find the LCM of 10, 13 and 2.
  40. 40.Find the LCM of 21 and 6.

Answer key

  1. 5
  2. 42
  3. 60
  4. 72
  5. 15
  6. 16
  7. 6
  8. 40
  9. 35
  10. 5
  11. 10
  12. 198
  13. 10
  14. 30
  15. 30
  16. 64
  17. 6
  18. 15
  19. 24
  20. 42
  21. 84
  22. 72
  23. 42
  24. 210
  25. 40
  26. 7
  27. 10
  28. 24
  29. 30
  30. 130
  31. 54
  32. 10
  33. 13
  34. 224
  35. 160
  36. 140
  37. 60
  38. 30
  39. 130
  40. 42

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