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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 715 · 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 16 and 12.
  2. 2.Find the LCM of 5, 3 and 11.
  3. 3.Find the HCF of 50 and 20.
  4. 4.Find the LCM of 6, 8 and 3.
  5. 5.Find the HCF of 72 and 32.
  6. 6.Find the HCF of 90 and 80.
  7. 7.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  8. 8.Find the HCF of 70 and 80.
  9. 9.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  10. 10.Find the LCM of 4 and 18.
  11. 11.Find the HCF of 45 and 27.
  12. 12.Find the LCM of 2, 5 and 7.
  13. 13.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  14. 14.Find the HCF of 35 and 49.
  15. 15.Find the HCF of 60 and 48.
  16. 16.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  17. 17.Find the LCM of 30 and 48.
  18. 18.Find the LCM of 7, 4 and 3.
  19. 19.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  20. 20.Find the LCM of 36 and 42.
  21. 21.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  22. 22.Find the LCM of 3, 7 and 12.
  23. 23.Find the LCM of 42 and 48.
  24. 24.Find the LCM of 6, 3 and 4.
  25. 25.Find the HCF of 28 and 126.
  26. 26.Find the LCM of 4 and 10.
  27. 27.Find the LCM of 9 and 15.
  28. 28.Find the LCM of 4, 15 and 9.
  29. 29.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  30. 30.Find the LCM of 12, 2 and 10.
  31. 31.Find the HCF of 18 and 8.
  32. 32.Find the LCM of 10, 7 and 2.
  33. 33.Find the LCM of 14, 2 and 9.
  34. 34.Find the LCM of 3 and 7.
  35. 35.Find the HCF of 72 and 60.
  36. 36.Find the LCM of 5, 14 and 15.
  37. 37.Find the HCF of 28 and 63.
  38. 38.Find the LCM of 6 and 9.
  39. 39.Find the HCF of 48 and 36.
  40. 40.Find the LCM of 32 and 28.

Answer key

  1. 48
  2. 165
  3. 10
  4. 24
  5. 8
  6. 10
  7. 28
  8. 10
  9. 14
  10. 36
  11. 9
  12. 70
  13. 27
  14. 7
  15. 12
  16. 32
  17. 240
  18. 84
  19. 36
  20. 252
  21. 15
  22. 84
  23. 336
  24. 12
  25. 14
  26. 20
  27. 45
  28. 180
  29. 35
  30. 60
  31. 2
  32. 70
  33. 126
  34. 21
  35. 12
  36. 210
  37. 7
  38. 18
  39. 12
  40. 224

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