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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 232 · 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, 15 and 6.
  2. 2.Find the LCM of 15 and 10.
  3. 3.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  4. 4.Find the LCM of 15, 2 and 12.
  5. 5.Find the HCF of 12 and 30.
  6. 6.Find the HCF of 12 and 14.
  7. 7.Find the LCM of 4 and 9.
  8. 8.Find the LCM of 16 and 28.
  9. 9.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  10. 10.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  11. 11.Find the HCF of 18 and 4.
  12. 12.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  13. 13.Find the HCF of 27 and 15.
  14. 14.Find the HCF of 20 and 30.
  15. 15.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  16. 16.Find the LCM of 4 and 14.
  17. 17.Find the LCM of 9, 4 and 6.
  18. 18.Find the LCM of 5 and 8.
  19. 19.Find the LCM of 8, 12 and 6.
  20. 20.Find the LCM of 14, 6 and 3.
  21. 21.Find the LCM of 45 and 10.
  22. 22.Find the LCM of 2, 10 and 9.
  23. 23.Find the HCF of 14 and 4.
  24. 24.Find the LCM of 4, 2 and 14.
  25. 25.Find the HCF of 42 and 30.
  26. 26.Find the LCM of 14, 4 and 7.
  27. 27.Find the LCM of 3, 2 and 15.
  28. 28.Find the HCF of 18 and 24.
  29. 29.Find the LCM of 6 and 16.
  30. 30.Find the HCF of 45 and 27.
  31. 31.Find the LCM of 25 and 10.
  32. 32.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  33. 33.Find the HCF of 81 and 36.
  34. 34.Find the LCM of 9, 10 and 2.
  35. 35.Find the LCM of 8 and 20.
  36. 36.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  37. 37.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  39. 39.Find the HCF of 18 and 8.
  40. 40.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?

Answer key

  1. 30
  2. 30
  3. 54
  4. 60
  5. 6
  6. 2
  7. 36
  8. 112
  9. 36
  10. 9
  11. 2
  12. 45
  13. 3
  14. 10
  15. 24
  16. 28
  17. 36
  18. 40
  19. 24
  20. 42
  21. 90
  22. 90
  23. 2
  24. 28
  25. 6
  26. 28
  27. 30
  28. 6
  29. 48
  30. 9
  31. 50
  32. 18
  33. 9
  34. 90
  35. 40
  36. 64
  37. 21
  38. 40
  39. 2
  40. 14

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