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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 509 · 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 12 and 30.
  2. 2.Find the LCM of 9, 6 and 5.
  3. 3.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  4. 4.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  5. 5.Find the LCM of 5, 12 and 2.
  6. 6.Find the HCF of 35 and 63.
  7. 7.Find the HCF of 12 and 8.
  8. 8.Find the LCM of 10, 3 and 5.
  9. 9.Find the LCM of 4 and 6.
  10. 10.Find the LCM of 30 and 35.
  11. 11.Find the LCM of 8 and 9.
  12. 12.Find the LCM of 35 and 45.
  13. 13.Find the HCF of 12 and 28.
  14. 14.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  15. 15.Find the HCF of 108 and 48.
  16. 16.Find the LCM of 18 and 24.
  17. 17.Find the LCM of 4 and 7.
  18. 18.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  19. 19.Find the LCM of 6, 14 and 2.
  20. 20.Find the LCM of 13, 2 and 3.
  21. 21.Find the LCM of 15, 7 and 2.
  22. 22.Find the LCM of 6, 5 and 4.
  23. 23.Find the HCF of 56 and 63.
  24. 24.Find the LCM of 24 and 15.
  25. 25.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  26. 26.Find the LCM of 5, 2 and 11.
  27. 27.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  28. 28.Find the LCM of 5, 6 and 14.
  29. 29.Find the HCF of 30 and 50.
  30. 30.Find the HCF of 60 and 50.
  31. 31.Find the HCF of 18 and 8.
  32. 32.Find the LCM of 10 and 14.
  33. 33.Find the HCF of 70 and 28.
  34. 34.Find the LCM of 32 and 12.
  35. 35.Find the LCM of 5, 15 and 10.
  36. 36.Find the LCM of 4, 10 and 11.
  37. 37.Find the LCM of 11, 6 and 2.
  38. 38.Find the LCM of 2 and 5.
  39. 39.Find the HCF of 81 and 45.
  40. 40.Find the LCM of 45 and 20.

Answer key

  1. 6
  2. 90
  3. 40
  4. 15
  5. 60
  6. 7
  7. 4
  8. 30
  9. 12
  10. 210
  11. 72
  12. 315
  13. 4
  14. 10
  15. 12
  16. 72
  17. 28
  18. 63
  19. 42
  20. 78
  21. 210
  22. 60
  23. 7
  24. 120
  25. 30
  26. 110
  27. 9
  28. 210
  29. 10
  30. 10
  31. 2
  32. 70
  33. 14
  34. 96
  35. 30
  36. 220
  37. 66
  38. 10
  39. 9
  40. 180

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