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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 463 · 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 28 and 20.
  2. 2.Find the LCM of 4 and 9.
  3. 3.Find the LCM of 3, 10 and 2.
  4. 4.Find the LCM of 18 and 12.
  5. 5.Find the LCM of 5, 11 and 2.
  6. 6.Find the LCM of 12 and 21.
  7. 7.Find the LCM of 42 and 54.
  8. 8.Find the HCF of 117 and 104.
  9. 9.Find the LCM of 9 and 21.
  10. 10.Find the LCM of 7, 2 and 9.
  11. 11.Find the LCM of 21 and 12.
  12. 12.Find the LCM of 30 and 48.
  13. 13.Find the HCF of 6 and 8.
  14. 14.Find the LCM of 14 and 10.
  15. 15.Find the HCF of 39 and 65.
  16. 16.Find the HCF of 60 and 70.
  17. 17.Find the HCF of 56 and 72.
  18. 18.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  19. 19.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  20. 20.Find the HCF of 126 and 70.
  21. 21.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  22. 22.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  23. 23.Find the HCF of 99 and 88.
  24. 24.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  25. 25.Find the LCM of 4 and 14.
  26. 26.Find the HCF of 25 and 20.
  27. 27.Find the LCM of 28 and 36.
  28. 28.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  29. 29.Find the LCM of 10 and 6.
  30. 30.Find the LCM of 8 and 20.
  31. 31.Find the LCM of 2, 9 and 6.
  32. 32.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  33. 33.Find the LCM of 2, 14 and 9.
  34. 34.Find the HCF of 36 and 16.
  35. 35.Find the LCM of 15 and 6.
  36. 36.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  37. 37.Find the HCF of 24 and 9.
  38. 38.Find the HCF of 70 and 60.
  39. 39.Find the LCM of 12 and 9.
  40. 40.Find the LCM of 21 and 24.

Answer key

  1. 140
  2. 36
  3. 30
  4. 36
  5. 110
  6. 84
  7. 378
  8. 13
  9. 63
  10. 126
  11. 84
  12. 240
  13. 2
  14. 70
  15. 13
  16. 10
  17. 8
  18. 24
  19. 6
  20. 14
  21. 56
  22. 64
  23. 11
  24. 28
  25. 28
  26. 5
  27. 252
  28. 14
  29. 30
  30. 40
  31. 18
  32. 18
  33. 126
  34. 4
  35. 30
  36. 9
  37. 3
  38. 10
  39. 36
  40. 168

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