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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 464 · 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 5 and 9.
  2. 2.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  3. 3.Find the HCF of 16 and 14.
  4. 4.Find the HCF of 60 and 108.
  5. 5.Find the LCM of 40 and 25.
  6. 6.Find the HCF of 56 and 72.
  7. 7.Find the LCM of 18 and 10.
  8. 8.Find the LCM of 14, 13 and 7.
  9. 9.Find the LCM of 21 and 15.
  10. 10.Find the LCM of 8, 7 and 3.
  11. 11.Find the LCM of 14 and 16.
  12. 12.Find the HCF of 16 and 40.
  13. 13.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  14. 14.Find the LCM of 8 and 36.
  15. 15.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  16. 16.Find the LCM of 12, 14 and 8.
  17. 17.Find the LCM of 9 and 12.
  18. 18.Find the HCF of 20 and 45.
  19. 19.Find the LCM of 8 and 10.
  20. 20.Find the LCM of 4, 12 and 3.
  21. 21.Find the LCM of 5, 15 and 8.
  22. 22.Find the HCF of 24 and 30.
  23. 23.Find the HCF of 112 and 70.
  24. 24.Find the LCM of 8, 14 and 3.
  25. 25.Find the HCF of 27 and 6.
  26. 26.Find the HCF of 6 and 10.
  27. 27.Find the LCM of 15, 5 and 12.
  28. 28.Find the LCM of 14, 4 and 7.
  29. 29.Find the HCF of 48 and 18.
  30. 30.Find the HCF of 10 and 15.
  31. 31.Find the HCF of 18 and 48.
  32. 32.Find the HCF of 20 and 15.
  33. 33.Find the LCM of 8, 15 and 2.
  34. 34.Find the HCF of 20 and 12.
  35. 35.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  36. 36.Find the LCM of 10 and 15.
  37. 37.Find the HCF of 42 and 56.
  38. 38.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  39. 39.Find the LCM of 2, 4 and 15.
  40. 40.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?

Answer key

  1. 45
  2. 6
  3. 2
  4. 12
  5. 200
  6. 8
  7. 90
  8. 182
  9. 105
  10. 168
  11. 112
  12. 8
  13. 72
  14. 72
  15. 15
  16. 168
  17. 36
  18. 5
  19. 40
  20. 12
  21. 120
  22. 6
  23. 14
  24. 168
  25. 3
  26. 2
  27. 60
  28. 28
  29. 6
  30. 5
  31. 6
  32. 5
  33. 120
  34. 4
  35. 14
  36. 30
  37. 14
  38. 32
  39. 60
  40. 40

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