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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 735 · 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.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  2. 2.Find the LCM of 16 and 10.
  3. 3.Find the LCM of 14, 3 and 4.
  4. 4.Find the HCF of 104 and 39.
  5. 5.Find the LCM of 6 and 15.
  6. 6.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  7. 7.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  8. 8.Find the LCM of 9, 2 and 14.
  9. 9.Find the LCM of 24 and 18.
  10. 10.Find the HCF of 8 and 36.
  11. 11.Find the LCM of 10 and 12.
  12. 12.Find the HCF of 28 and 24.
  13. 13.Find the HCF of 10 and 45.
  14. 14.Find the LCM of 6, 4 and 15.
  15. 15.Find the LCM of 45 and 40.
  16. 16.Find the HCF of 40 and 64.
  17. 17.Find the LCM of 12, 3 and 8.
  18. 18.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  19. 19.Find the LCM of 12, 2 and 10.
  20. 20.Find the HCF of 63 and 18.
  21. 21.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  22. 22.Find the LCM of 28 and 36.
  23. 23.Find the HCF of 70 and 50.
  24. 24.Find the LCM of 10, 5 and 6.
  25. 25.Find the LCM of 6, 3 and 2.
  26. 26.Find the LCM of 2 and 9.
  27. 27.Find the HCF of 14 and 16.
  28. 28.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  29. 29.Find the LCM of 12 and 42.
  30. 30.Find the HCF of 45 and 27.
  31. 31.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  32. 32.Find the LCM of 2, 10 and 6.
  33. 33.Find the HCF of 30 and 20.
  34. 34.Find the LCM of 12 and 16.
  35. 35.Find the LCM of 5, 6 and 8.
  36. 36.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  37. 37.Find the HCF of 50 and 70.
  38. 38.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  39. 39.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  40. 40.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?

Answer key

  1. 28
  2. 80
  3. 84
  4. 13
  5. 30
  6. 40
  7. 20
  8. 126
  9. 72
  10. 4
  11. 60
  12. 4
  13. 5
  14. 60
  15. 360
  16. 8
  17. 24
  18. 15
  19. 60
  20. 9
  21. 25
  22. 252
  23. 10
  24. 30
  25. 6
  26. 18
  27. 2
  28. 16
  29. 84
  30. 9
  31. 4
  32. 30
  33. 10
  34. 48
  35. 120
  36. 24
  37. 10
  38. 12
  39. 6
  40. 25

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