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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 586 · 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 9, 14 and 6.
  2. 2.Find the LCM of 14, 5 and 6.
  3. 3.Find the LCM of 3, 2 and 7.
  4. 4.Find the HCF of 27 and 15.
  5. 5.Find the HCF of 84 and 70.
  6. 6.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  7. 7.Find the HCF of 72 and 32.
  8. 8.Find the LCM of 9 and 12.
  9. 9.Find the HCF of 64 and 56.
  10. 10.Find the LCM of 12 and 18.
  11. 11.Find the HCF of 52 and 39.
  12. 12.Find the HCF of 6 and 15.
  13. 13.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  14. 14.Find the HCF of 8 and 12.
  15. 15.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  16. 16.Find the LCM of 10 and 16.
  17. 17.Find the HCF of 9 and 15.
  18. 18.Find the LCM of 4 and 3.
  19. 19.Find the HCF of 40 and 15.
  20. 20.Find the LCM of 9 and 8.
  21. 21.Find the LCM of 11, 6 and 2.
  22. 22.Find the LCM of 30 and 24.
  23. 23.Find the HCF of 104 and 117.
  24. 24.Find the HCF of 63 and 18.
  25. 25.Find the HCF of 9 and 6.
  26. 26.Find the LCM of 13, 2 and 4.
  27. 27.Find the HCF of 105 and 135.
  28. 28.Find the HCF of 8 and 6.
  29. 29.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  30. 30.Find the LCM of 14, 5 and 4.
  31. 31.Find the HCF of 30 and 105.
  32. 32.Find the LCM of 15, 5 and 4.
  33. 33.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  34. 34.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  35. 35.Find the LCM of 3, 9 and 7.
  36. 36.Find the LCM of 18 and 14.
  37. 37.Find the LCM of 12, 3 and 7.
  38. 38.Find the LCM of 8, 2 and 12.
  39. 39.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  40. 40.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?

Answer key

  1. 126
  2. 210
  3. 42
  4. 3
  5. 14
  6. 48
  7. 8
  8. 36
  9. 8
  10. 36
  11. 13
  12. 3
  13. 24
  14. 4
  15. 8
  16. 80
  17. 3
  18. 12
  19. 5
  20. 72
  21. 66
  22. 120
  23. 13
  24. 9
  25. 3
  26. 52
  27. 15
  28. 2
  29. 56
  30. 140
  31. 15
  32. 60
  33. 72
  34. 12
  35. 63
  36. 126
  37. 84
  38. 24
  39. 16
  40. 40

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