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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 25 · 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 4, 6 and 10.
  2. 2.Find the LCM of 6, 4 and 5.
  3. 3.Find the HCF of 63 and 18.
  4. 4.Find the HCF of 30 and 45.
  5. 5.Find the LCM of 27 and 15.
  6. 6.Find the HCF of 42 and 30.
  7. 7.Find the LCM of 14, 15 and 6.
  8. 8.Find the LCM of 13, 2 and 12.
  9. 9.Find the HCF of 32 and 56.
  10. 10.Find the LCM of 6 and 27.
  11. 11.Find the LCM of 9 and 5.
  12. 12.Find the LCM of 35 and 25.
  13. 13.Find the HCF of 45 and 54.
  14. 14.Find the HCF of 18 and 16.
  15. 15.Find the HCF of 30 and 25.
  16. 16.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  17. 17.Find the HCF of 48 and 108.
  18. 18.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  19. 19.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  20. 20.Find the LCM of 30 and 18.
  21. 21.Find the HCF of 91 and 78.
  22. 22.Find the LCM of 30 and 42.
  23. 23.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  24. 24.Find the LCM of 12 and 8.
  25. 25.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  26. 26.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  27. 27.Find the LCM of 6, 5 and 14.
  28. 28.Find the LCM of 9, 6 and 4.
  29. 29.Find the LCM of 2, 12 and 11.
  30. 30.Find the LCM of 48 and 54.
  31. 31.Find the LCM of 3, 5 and 4.
  32. 32.Find the LCM of 6 and 14.
  33. 33.Find the LCM of 12 and 42.
  34. 34.Find the LCM of 6, 14 and 10.
  35. 35.Find the LCM of 2, 4 and 12.
  36. 36.Find the LCM of 3 and 4.
  37. 37.Find the HCF of 60 and 48.
  38. 38.Find the LCM of 8, 14 and 2.
  39. 39.Find the HCF of 12 and 42.
  40. 40.Find the LCM of 8, 12 and 3.

Answer key

  1. 60
  2. 60
  3. 9
  4. 15
  5. 135
  6. 6
  7. 210
  8. 156
  9. 8
  10. 54
  11. 45
  12. 175
  13. 9
  14. 2
  15. 5
  16. 27
  17. 12
  18. 72
  19. 64
  20. 90
  21. 13
  22. 210
  23. 21
  24. 24
  25. 81
  26. 20
  27. 210
  28. 36
  29. 132
  30. 432
  31. 60
  32. 42
  33. 84
  34. 210
  35. 12
  36. 12
  37. 12
  38. 56
  39. 6
  40. 24

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