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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 72 · 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 7 and 8.
  2. 2.Find the LCM of 10, 7 and 3.
  3. 3.Find the HCF of 20 and 24.
  4. 4.Find the HCF of 18 and 12.
  5. 5.Find the LCM of 54 and 24.
  6. 6.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  7. 7.Find the LCM of 4, 10 and 9.
  8. 8.Find the HCF of 10 and 12.
  9. 9.Find the HCF of 65 and 104.
  10. 10.Find the HCF of 12 and 54.
  11. 11.Find the LCM of 5 and 8.
  12. 12.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  13. 13.Find the LCM of 3, 2 and 14.
  14. 14.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  15. 15.Find the LCM of 3, 6 and 2.
  16. 16.Find the LCM of 4 and 3.
  17. 17.Find the HCF of 27 and 6.
  18. 18.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  19. 19.Find the LCM of 25 and 40.
  20. 20.Find the LCM of 5, 2 and 6.
  21. 21.Find the HCF of 75 and 60.
  22. 22.Find the HCF of 39 and 91.
  23. 23.Find the LCM of 5, 2 and 10.
  24. 24.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  25. 25.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  26. 26.Find the LCM of 3, 14 and 5.
  27. 27.Find the LCM of 3, 15 and 13.
  28. 28.Find the HCF of 10 and 35.
  29. 29.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  30. 30.Find the HCF of 60 and 50.
  31. 31.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  32. 32.Find the HCF of 27 and 63.
  33. 33.Find the LCM of 10 and 4.
  34. 34.Find the HCF of 8 and 36.
  35. 35.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  36. 36.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  37. 37.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  38. 38.Find the LCM of 5, 10 and 7.
  39. 39.Find the LCM of 20 and 8.
  40. 40.Find the LCM of 6 and 7.

Answer key

  1. 56
  2. 210
  3. 4
  4. 6
  5. 216
  6. 27
  7. 180
  8. 2
  9. 13
  10. 6
  11. 40
  12. 21
  13. 42
  14. 27
  15. 6
  16. 12
  17. 3
  18. 72
  19. 200
  20. 30
  21. 15
  22. 13
  23. 10
  24. 12
  25. 49
  26. 210
  27. 195
  28. 5
  29. 24
  30. 10
  31. 14
  32. 9
  33. 20
  34. 4
  35. 81
  36. 12
  37. 18
  38. 70
  39. 40
  40. 42

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