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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 691 · 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 HCF of 84 and 70.
  2. 2.Find the HCF of 48 and 30.
  3. 3.Find the LCM of 10 and 4.
  4. 4.Find the HCF of 10 and 12.
  5. 5.Find the HCF of 27 and 63.
  6. 6.Find the LCM of 2, 5 and 11.
  7. 7.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  8. 8.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  9. 9.Find the LCM of 6 and 4.
  10. 10.Find the HCF of 6 and 10.
  11. 11.Find the LCM of 8 and 10.
  12. 12.Find the LCM of 10, 4 and 7.
  13. 13.Find the LCM of 30 and 24.
  14. 14.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  15. 15.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  16. 16.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  17. 17.Find the LCM of 3 and 4.
  18. 18.Find the HCF of 56 and 72.
  19. 19.Find the HCF of 98 and 84.
  20. 20.Find the LCM of 18 and 48.
  21. 21.Find the LCM of 4, 5 and 3.
  22. 22.Find the LCM of 24 and 18.
  23. 23.Find the HCF of 30 and 105.
  24. 24.Find the LCM of 25 and 45.
  25. 25.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  26. 26.Find the LCM of 3, 6 and 4.
  27. 27.Find the HCF of 65 and 52.
  28. 28.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  29. 29.Find the LCM of 2, 4 and 8.
  30. 30.Find the LCM of 5, 10 and 3.
  31. 31.Find the LCM of 12 and 8.
  32. 32.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  33. 33.Find the LCM of 9, 12 and 6.
  34. 34.Find the HCF of 50 and 20.
  35. 35.Find the LCM of 12 and 15.
  36. 36.Find the HCF of 33 and 44.
  37. 37.Find the LCM of 11, 10 and 2.
  38. 38.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  39. 39.Find the LCM of 6 and 27.
  40. 40.Find the LCM of 3, 4 and 6.

Answer key

  1. 14
  2. 6
  3. 20
  4. 2
  5. 9
  6. 110
  7. 64
  8. 8
  9. 12
  10. 2
  11. 40
  12. 140
  13. 120
  14. 10
  15. 16
  16. 21
  17. 12
  18. 8
  19. 14
  20. 144
  21. 60
  22. 72
  23. 15
  24. 225
  25. 16
  26. 12
  27. 13
  28. 72
  29. 8
  30. 30
  31. 24
  32. 27
  33. 36
  34. 10
  35. 60
  36. 11
  37. 110
  38. 72
  39. 54
  40. 12

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