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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 258 · 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 4 and 18.
  2. 2.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  3. 3.Find the LCM of 2, 6 and 7.
  4. 4.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  5. 5.Find the LCM of 2, 6 and 8.
  6. 6.Find the LCM of 9, 8 and 6.
  7. 7.Find the LCM of 3, 4 and 7.
  8. 8.Find the LCM of 42 and 30.
  9. 9.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  10. 10.Find the HCF of 21 and 18.
  11. 11.Find the LCM of 28 and 32.
  12. 12.Find the HCF of 18 and 81.
  13. 13.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  14. 14.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  15. 15.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  16. 16.Find the HCF of 10 and 8.
  17. 17.Find the HCF of 54 and 24.
  18. 18.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  19. 19.Find the LCM of 6, 2 and 4.
  20. 20.Find the HCF of 18 and 30.
  21. 21.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  22. 22.Find the HCF of 60 and 45.
  23. 23.Find the LCM of 12, 3 and 8.
  24. 24.Find the LCM of 5, 2 and 6.
  25. 25.Find the HCF of 9 and 6.
  26. 26.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  27. 27.Find the HCF of 30 and 48.
  28. 28.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  29. 29.Find the LCM of 15 and 27.
  30. 30.Find the LCM of 10, 8 and 4.
  31. 31.Find the HCF of 28 and 42.
  32. 32.Find the LCM of 2, 9 and 8.
  33. 33.Find the LCM of 2, 7 and 3.
  34. 34.Find the LCM of 12 and 27.
  35. 35.Find the LCM of 3, 11 and 2.
  36. 36.Find the LCM of 2 and 7.
  37. 37.Find the LCM of 11, 3 and 15.
  38. 38.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  39. 39.Find the HCF of 14 and 35.
  40. 40.Find the LCM of 15, 2 and 8.

Answer key

  1. 36
  2. 42
  3. 42
  4. 63
  5. 24
  6. 72
  7. 84
  8. 210
  9. 72
  10. 3
  11. 224
  12. 9
  13. 20
  14. 48
  15. 30
  16. 2
  17. 6
  18. 16
  19. 12
  20. 6
  21. 20
  22. 15
  23. 24
  24. 30
  25. 3
  26. 25
  27. 6
  28. 27
  29. 135
  30. 40
  31. 14
  32. 72
  33. 42
  34. 108
  35. 66
  36. 14
  37. 165
  38. 64
  39. 7
  40. 120

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