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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 318 · 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, 3 and 7.
  2. 2.Find the LCM of 14 and 4.
  3. 3.Find the LCM of 21 and 12.
  4. 4.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  5. 5.Find the HCF of 40 and 35.
  6. 6.Find the LCM of 10, 15 and 9.
  7. 7.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  8. 8.Find the LCM of 27 and 6.
  9. 9.Find the LCM of 24 and 18.
  10. 10.Find the LCM of 54 and 48.
  11. 11.Find the LCM of 5, 11 and 3.
  12. 12.Find the HCF of 12 and 10.
  13. 13.Find the HCF of 20 and 35.
  14. 14.Find the HCF of 40 and 24.
  15. 15.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  16. 16.Find the LCM of 45 and 20.
  17. 17.Find the LCM of 3, 6 and 8.
  18. 18.Find the LCM of 15 and 10.
  19. 19.Find the LCM of 6 and 21.
  20. 20.Find the HCF of 70 and 30.
  21. 21.Find the LCM of 10, 5 and 8.
  22. 22.Find the HCF of 49 and 63.
  23. 23.Find the LCM of 18 and 8.
  24. 24.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  25. 25.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  26. 26.Find the LCM of 9, 4 and 3.
  27. 27.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  28. 28.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  29. 29.Find the LCM of 3, 4 and 5.
  30. 30.Find the HCF of 32 and 20.
  31. 31.Find the HCF of 80 and 50.
  32. 32.Find the LCM of 6 and 4.
  33. 33.Find the LCM of 3 and 2.
  34. 34.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  35. 35.Find the LCM of 13, 6 and 9.
  36. 36.Find the LCM of 2, 4 and 10.
  37. 37.Find the HCF of 24 and 40.
  38. 38.Find the LCM of 4 and 18.
  39. 39.Find the LCM of 4 and 3.
  40. 40.Find the LCM of 4 and 7.

Answer key

  1. 105
  2. 28
  3. 84
  4. 27
  5. 5
  6. 90
  7. 20
  8. 54
  9. 72
  10. 432
  11. 165
  12. 2
  13. 5
  14. 8
  15. 12
  16. 180
  17. 24
  18. 30
  19. 42
  20. 10
  21. 40
  22. 7
  23. 72
  24. 27
  25. 49
  26. 36
  27. 18
  28. 35
  29. 60
  30. 4
  31. 10
  32. 12
  33. 6
  34. 12
  35. 234
  36. 20
  37. 8
  38. 36
  39. 12
  40. 28

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