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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 435 · 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 24 and 27.
  2. 2.Find the LCM of 12 and 21.
  3. 3.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  4. 4.Find the HCF of 42 and 24.
  5. 5.Find the LCM of 48 and 30.
  6. 6.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  7. 7.Find the HCF of 90 and 50.
  8. 8.Find the HCF of 60 and 75.
  9. 9.Find the HCF of 63 and 18.
  10. 10.Find the HCF of 8 and 6.
  11. 11.Find the LCM of 2 and 7.
  12. 12.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  13. 13.Find the HCF of 30 and 36.
  14. 14.Find the HCF of 30 and 105.
  15. 15.Find the LCM of 14, 4 and 6.
  16. 16.Find the LCM of 9, 12 and 3.
  17. 17.Find the LCM of 12 and 30.
  18. 18.Find the LCM of 2, 7 and 13.
  19. 19.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  20. 20.Find the LCM of 42 and 18.
  21. 21.Find the LCM of 3, 2 and 14.
  22. 22.Find the LCM of 3, 7 and 10.
  23. 23.Find the HCF of 36 and 8.
  24. 24.Find the LCM of 16 and 14.
  25. 25.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  26. 26.Find the LCM of 4, 14 and 12.
  27. 27.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  28. 28.Find the HCF of 9 and 6.
  29. 29.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  30. 30.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  31. 31.Find the LCM of 5 and 4.
  32. 32.Find the LCM of 11, 2 and 3.
  33. 33.Find the LCM of 7 and 2.
  34. 34.Find the LCM of 42 and 48.
  35. 35.Find the HCF of 24 and 15.
  36. 36.Find the LCM of 16 and 12.
  37. 37.Find the LCM of 12 and 14.
  38. 38.Find the LCM of 9 and 24.
  39. 39.Find the LCM of 2, 4 and 6.
  40. 40.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?

Answer key

  1. 216
  2. 84
  3. 14
  4. 6
  5. 240
  6. 16
  7. 10
  8. 15
  9. 9
  10. 2
  11. 14
  12. 25
  13. 6
  14. 15
  15. 84
  16. 36
  17. 60
  18. 182
  19. 16
  20. 126
  21. 42
  22. 210
  23. 4
  24. 112
  25. 15
  26. 84
  27. 10
  28. 3
  29. 20
  30. 63
  31. 20
  32. 66
  33. 14
  34. 336
  35. 3
  36. 48
  37. 84
  38. 72
  39. 12
  40. 25

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