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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 481 · 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 18 and 24.
  2. 2.Find the LCM of 6 and 4.
  3. 3.Find the LCM of 28 and 12.
  4. 4.Find the LCM of 13, 10 and 5.
  5. 5.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  6. 6.Find the HCF of 27 and 12.
  7. 7.Find the HCF of 14 and 21.
  8. 8.Find the LCM of 8 and 36.
  9. 9.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  10. 10.Find the LCM of 2, 5 and 7.
  11. 11.Find the LCM of 8, 3 and 6.
  12. 12.Find the HCF of 21 and 9.
  13. 13.Find the HCF of 10 and 14.
  14. 14.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  15. 15.Find the LCM of 4, 13 and 3.
  16. 16.Find the LCM of 9, 3 and 10.
  17. 17.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  18. 18.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  19. 19.Find the HCF of 45 and 120.
  20. 20.Find the HCF of 33 and 88.
  21. 21.Find the LCM of 5, 15 and 4.
  22. 22.Find the LCM of 14, 3 and 6.
  23. 23.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  24. 24.Find the HCF of 105 and 135.
  25. 25.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  26. 26.Find the HCF of 40 and 25.
  27. 27.Find the LCM of 3, 12 and 5.
  28. 28.Find the HCF of 90 and 75.
  29. 29.Find the HCF of 27 and 36.
  30. 30.Find the HCF of 42 and 54.
  31. 31.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  32. 32.Find the LCM of 12, 3 and 5.
  33. 33.Find the LCM of 14, 2 and 6.
  34. 34.Find the HCF of 88 and 99.
  35. 35.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  36. 36.Find the LCM of 13, 5 and 2.
  37. 37.Find the LCM of 2, 9 and 13.
  38. 38.Find the LCM of 5 and 3.
  39. 39.Find the LCM of 16 and 12.
  40. 40.Find the LCM of 15 and 24.

Answer key

  1. 6
  2. 12
  3. 84
  4. 130
  5. 18
  6. 3
  7. 7
  8. 72
  9. 9
  10. 70
  11. 24
  12. 3
  13. 2
  14. 27
  15. 156
  16. 90
  17. 15
  18. 20
  19. 15
  20. 11
  21. 60
  22. 42
  23. 56
  24. 15
  25. 6
  26. 5
  27. 60
  28. 15
  29. 9
  30. 6
  31. 72
  32. 60
  33. 42
  34. 11
  35. 42
  36. 130
  37. 234
  38. 15
  39. 48
  40. 120

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