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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 405 · 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.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  2. 2.Find the LCM of 8, 12 and 2.
  3. 3.Find the LCM of 4, 13 and 2.
  4. 4.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  5. 5.Find the LCM of 18 and 42.
  6. 6.Find the LCM of 18 and 4.
  7. 7.Find the LCM of 20 and 12.
  8. 8.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  9. 9.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  10. 10.Find the LCM of 4, 5 and 2.
  11. 11.Find the HCF of 26 and 39.
  12. 12.Find the HCF of 20 and 15.
  13. 13.Find the LCM of 6 and 7.
  14. 14.Find the LCM of 4, 5 and 6.
  15. 15.Find the HCF of 60 and 36.
  16. 16.Find the HCF of 16 and 20.
  17. 17.Find the HCF of 15 and 10.
  18. 18.Find the LCM of 4, 8 and 6.
  19. 19.Find the HCF of 45 and 18.
  20. 20.Find the HCF of 120 and 45.
  21. 21.Find the LCM of 14 and 4.
  22. 22.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  23. 23.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  24. 24.Find the LCM of 18 and 14.
  25. 25.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  26. 26.Find the LCM of 8, 7 and 14.
  27. 27.Find the LCM of 4 and 14.
  28. 28.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  29. 29.Find the LCM of 12, 3 and 8.
  30. 30.Find the HCF of 9 and 12.
  31. 31.Find the LCM of 28 and 36.
  32. 32.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  33. 33.Find the LCM of 5, 6 and 15.
  34. 34.Find the HCF of 12 and 21.
  35. 35.Find the HCF of 20 and 12.
  36. 36.Find the HCF of 10 and 16.
  37. 37.Find the HCF of 30 and 105.
  38. 38.Find the HCF of 36 and 8.
  39. 39.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  40. 40.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?

Answer key

  1. 16
  2. 24
  3. 52
  4. 24
  5. 126
  6. 36
  7. 60
  8. 15
  9. 6
  10. 20
  11. 13
  12. 5
  13. 42
  14. 60
  15. 12
  16. 4
  17. 5
  18. 24
  19. 9
  20. 15
  21. 28
  22. 45
  23. 56
  24. 126
  25. 15
  26. 56
  27. 28
  28. 15
  29. 24
  30. 3
  31. 252
  32. 6
  33. 30
  34. 3
  35. 4
  36. 2
  37. 15
  38. 4
  39. 25
  40. 16

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