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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 575 · 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 4.
  2. 2.Find the LCM of 20 and 16.
  3. 3.Find the LCM of 4, 3 and 11.
  4. 4.Find the HCF of 6 and 10.
  5. 5.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  6. 6.Find the LCM of 10, 3 and 4.
  7. 7.Find the LCM of 13, 6 and 9.
  8. 8.Find the HCF of 60 and 84.
  9. 9.Find the LCM of 8, 3 and 14.
  10. 10.Find the LCM of 24 and 54.
  11. 11.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  12. 12.Find the LCM of 15, 10 and 7.
  13. 13.Find the HCF of 27 and 21.
  14. 14.Find the LCM of 15, 3 and 2.
  15. 15.Find the LCM of 16 and 36.
  16. 16.Find the LCM of 9, 6 and 2.
  17. 17.Find the HCF of 21 and 12.
  18. 18.Find the LCM of 9, 10 and 3.
  19. 19.Find the LCM of 48 and 54.
  20. 20.Find the LCM of 8, 10 and 6.
  21. 21.Find the HCF of 28 and 16.
  22. 22.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  23. 23.Find the HCF of 45 and 63.
  24. 24.Find the LCM of 12, 3 and 9.
  25. 25.Find the LCM of 24 and 18.
  26. 26.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  27. 27.Find the LCM of 10 and 4.
  28. 28.Find the LCM of 8, 5 and 4.
  29. 29.Find the HCF of 21 and 6.
  30. 30.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  31. 31.Find the LCM of 6 and 10.
  32. 32.Find the LCM of 3, 9 and 5.
  33. 33.Find the HCF of 36 and 63.
  34. 34.Find the LCM of 9, 13 and 6.
  35. 35.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  36. 36.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  37. 37.Find the LCM of 2, 14 and 4.
  38. 38.Find the HCF of 112 and 126.
  39. 39.Find the LCM of 16 and 20.
  40. 40.Find the HCF of 65 and 26.

Answer key

  1. 20
  2. 80
  3. 132
  4. 2
  5. 21
  6. 60
  7. 234
  8. 12
  9. 168
  10. 216
  11. 12
  12. 210
  13. 3
  14. 30
  15. 144
  16. 18
  17. 3
  18. 90
  19. 432
  20. 120
  21. 4
  22. 56
  23. 9
  24. 36
  25. 72
  26. 72
  27. 20
  28. 40
  29. 3
  30. 49
  31. 30
  32. 45
  33. 9
  34. 234
  35. 8
  36. 24
  37. 28
  38. 14
  39. 80
  40. 13

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