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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 453 · 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 3, 15 and 2.
  2. 2.Find the LCM of 5, 2 and 3.
  3. 3.Find the HCF of 40 and 48.
  4. 4.Find the HCF of 30 and 105.
  5. 5.Find the HCF of 44 and 99.
  6. 6.Find the LCM of 14, 5 and 4.
  7. 7.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  8. 8.Find the HCF of 28 and 63.
  9. 9.Find the HCF of 21 and 14.
  10. 10.Find the LCM of 30 and 18.
  11. 11.Find the LCM of 9, 12 and 3.
  12. 12.Find the HCF of 104 and 65.
  13. 13.Find the LCM of 9 and 15.
  14. 14.Find the LCM of 35 and 45.
  15. 15.Find the LCM of 2, 11 and 7.
  16. 16.Find the LCM of 10 and 6.
  17. 17.Find the LCM of 8 and 28.
  18. 18.Find the LCM of 6 and 27.
  19. 19.Find the HCF of 108 and 60.
  20. 20.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  21. 21.Find the LCM of 2, 12 and 15.
  22. 22.Find the LCM of 24 and 21.
  23. 23.Find the LCM of 4, 9 and 6.
  24. 24.Find the HCF of 28 and 24.
  25. 25.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  26. 26.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  27. 27.Find the HCF of 48 and 56.
  28. 28.Find the HCF of 36 and 16.
  29. 29.Find the LCM of 18 and 10.
  30. 30.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  31. 31.Find the HCF of 35 and 25.
  32. 32.Find the LCM of 2, 3 and 14.
  33. 33.Find the HCF of 10 and 35.
  34. 34.Find the HCF of 135 and 105.
  35. 35.Find the HCF of 27 and 15.
  36. 36.Find the HCF of 45 and 81.
  37. 37.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  39. 39.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  40. 40.Find the LCM of 8, 3 and 4.

Answer key

  1. 30
  2. 30
  3. 8
  4. 15
  5. 11
  6. 140
  7. 24
  8. 7
  9. 7
  10. 90
  11. 36
  12. 13
  13. 45
  14. 315
  15. 154
  16. 30
  17. 56
  18. 54
  19. 12
  20. 21
  21. 60
  22. 168
  23. 36
  24. 4
  25. 18
  26. 64
  27. 8
  28. 4
  29. 90
  30. 16
  31. 5
  32. 42
  33. 5
  34. 15
  35. 3
  36. 9
  37. 12
  38. 56
  39. 27
  40. 24

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