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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 41 · 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 4.
  2. 2.Find the LCM of 5, 6 and 2.
  3. 3.Find the HCF of 15 and 24.
  4. 4.Find the LCM of 15, 2 and 5.
  5. 5.Find the LCM of 12 and 8.
  6. 6.Find the HCF of 28 and 32.
  7. 7.Find the LCM of 45 and 10.
  8. 8.Find the HCF of 30 and 36.
  9. 9.Find the HCF of 70 and 50.
  10. 10.Find the LCM of 9 and 4.
  11. 11.Find the LCM of 3, 8 and 7.
  12. 12.Find the LCM of 7, 4 and 6.
  13. 13.Find the LCM of 8 and 9.
  14. 14.Find the HCF of 45 and 30.
  15. 15.Find the LCM of 8 and 36.
  16. 16.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  17. 17.Find the LCM of 12, 4 and 10.
  18. 18.Find the LCM of 5 and 7.
  19. 19.Find the LCM of 16 and 10.
  20. 20.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  21. 21.Find the LCM of 54 and 48.
  22. 22.Find the HCF of 24 and 84.
  23. 23.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  24. 24.Find the LCM of 10, 7 and 2.
  25. 25.Find the HCF of 30 and 20.
  26. 26.Find the LCM of 15, 5 and 10.
  27. 27.Find the LCM of 4 and 6.
  28. 28.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  29. 29.Find the HCF of 20 and 25.
  30. 30.Find the LCM of 9 and 15.
  31. 31.Find the HCF of 45 and 10.
  32. 32.Find the HCF of 91 and 117.
  33. 33.Find the LCM of 15 and 10.
  34. 34.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  35. 35.Find the LCM of 48 and 42.
  36. 36.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  37. 37.Find the HCF of 72 and 45.
  38. 38.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  39. 39.Find the HCF of 35 and 21.
  40. 40.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?

Answer key

  1. 60
  2. 30
  3. 3
  4. 30
  5. 24
  6. 4
  7. 90
  8. 6
  9. 10
  10. 36
  11. 168
  12. 84
  13. 72
  14. 15
  15. 72
  16. 40
  17. 60
  18. 35
  19. 80
  20. 63
  21. 432
  22. 12
  23. 8
  24. 70
  25. 10
  26. 30
  27. 12
  28. 32
  29. 5
  30. 45
  31. 5
  32. 13
  33. 30
  34. 14
  35. 336
  36. 27
  37. 9
  38. 63
  39. 7
  40. 24

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