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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 221 · 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 15 and 25.
  2. 2.Find the HCF of 12 and 32.
  3. 3.Find the LCM of 8, 6 and 2.
  4. 4.Find the LCM of 6, 9 and 11.
  5. 5.Find the LCM of 4, 7 and 3.
  6. 6.Find the LCM of 21 and 9.
  7. 7.Find the HCF of 24 and 56.
  8. 8.Find the HCF of 70 and 28.
  9. 9.Find the HCF of 36 and 45.
  10. 10.Find the LCM of 8 and 7.
  11. 11.Find the LCM of 14, 2 and 11.
  12. 12.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  13. 13.Find the LCM of 10, 12 and 5.
  14. 14.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  15. 15.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  16. 16.Find the LCM of 8 and 5.
  17. 17.Find the LCM of 24 and 15.
  18. 18.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  19. 19.Find the LCM of 18 and 14.
  20. 20.Find the HCF of 66 and 55.
  21. 21.Find the HCF of 12 and 18.
  22. 22.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  23. 23.Find the LCM of 9 and 21.
  24. 24.Find the LCM of 7, 2 and 5.
  25. 25.Find the HCF of 30 and 105.
  26. 26.Find the LCM of 4, 14 and 3.
  27. 27.Find the LCM of 5 and 3.
  28. 28.Find the HCF of 105 and 120.
  29. 29.Find the HCF of 4 and 18.
  30. 30.Find the LCM of 14 and 12.
  31. 31.Find the LCM of 3, 13 and 12.
  32. 32.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  33. 33.Find the LCM of 36 and 8.
  34. 34.Find the LCM of 8 and 9.
  35. 35.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  36. 36.Find the HCF of 24 and 15.
  37. 37.Find the HCF of 28 and 36.
  38. 38.Find the HCF of 16 and 14.
  39. 39.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  40. 40.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?

Answer key

  1. 75
  2. 4
  3. 24
  4. 198
  5. 84
  6. 63
  7. 8
  8. 14
  9. 9
  10. 56
  11. 154
  12. 8
  13. 60
  14. 20
  15. 63
  16. 40
  17. 120
  18. 18
  19. 126
  20. 11
  21. 6
  22. 18
  23. 63
  24. 70
  25. 15
  26. 84
  27. 15
  28. 15
  29. 2
  30. 84
  31. 156
  32. 14
  33. 72
  34. 72
  35. 12
  36. 3
  37. 4
  38. 2
  39. 21
  40. 21

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