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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 236 · 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 20 and 35.
  2. 2.Find the HCF of 24 and 40.
  3. 3.Find the LCM of 28 and 12.
  4. 4.Find the HCF of 6 and 16.
  5. 5.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  6. 6.Find the HCF of 8 and 6.
  7. 7.Find the LCM of 2, 14 and 12.
  8. 8.Find the LCM of 12, 11 and 3.
  9. 9.Find the LCM of 3, 9 and 2.
  10. 10.Find the LCM of 24 and 54.
  11. 11.Find the LCM of 4, 8 and 6.
  12. 12.Find the HCF of 45 and 35.
  13. 13.Find the LCM of 6, 15 and 8.
  14. 14.Find the LCM of 24 and 27.
  15. 15.Find the LCM of 8, 6 and 2.
  16. 16.Find the LCM of 14, 4 and 8.
  17. 17.Find the LCM of 2, 13 and 4.
  18. 18.Find the HCF of 135 and 105.
  19. 19.Find the HCF of 14 and 16.
  20. 20.Find the HCF of 72 and 56.
  21. 21.Find the LCM of 11, 6 and 9.
  22. 22.Find the LCM of 16 and 20.
  23. 23.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  24. 24.Find the HCF of 40 and 90.
  25. 25.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  26. 26.Find the LCM of 7, 14 and 12.
  27. 27.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  28. 28.Find the HCF of 72 and 32.
  29. 29.Find the HCF of 6 and 21.
  30. 30.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  31. 31.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  32. 32.Find the HCF of 40 and 56.
  33. 33.Find the LCM of 4 and 10.
  34. 34.Find the HCF of 84 and 24.
  35. 35.Find the LCM of 25 and 20.
  36. 36.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  37. 37.Find the LCM of 30 and 25.
  38. 38.Find the LCM of 30 and 36.
  39. 39.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  40. 40.Find the LCM of 2 and 5.

Answer key

  1. 140
  2. 8
  3. 84
  4. 2
  5. 15
  6. 2
  7. 84
  8. 132
  9. 18
  10. 216
  11. 24
  12. 5
  13. 120
  14. 216
  15. 24
  16. 56
  17. 52
  18. 15
  19. 2
  20. 8
  21. 198
  22. 80
  23. 21
  24. 10
  25. 35
  26. 84
  27. 25
  28. 8
  29. 3
  30. 45
  31. 72
  32. 8
  33. 20
  34. 12
  35. 100
  36. 81
  37. 150
  38. 180
  39. 45
  40. 10

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