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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 116 · 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 28 and 12.
  2. 2.Find the LCM of 12, 10 and 6.
  3. 3.Find the HCF of 54 and 24.
  4. 4.Find the LCM of 10 and 16.
  5. 5.Find the LCM of 6, 12 and 2.
  6. 6.Find the HCF of 20 and 16.
  7. 7.Find the LCM of 3, 8 and 7.
  8. 8.Find the LCM of 5 and 6.
  9. 9.Find the HCF of 72 and 40.
  10. 10.Find the LCM of 15, 12 and 5.
  11. 11.Find the HCF of 36 and 16.
  12. 12.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  13. 13.Find the LCM of 6, 4 and 12.
  14. 14.Find the LCM of 14, 10 and 3.
  15. 15.Find the LCM of 15, 5 and 11.
  16. 16.Find the LCM of 35 and 10.
  17. 17.Find the LCM of 12 and 16.
  18. 18.Find the LCM of 3, 4 and 11.
  19. 19.Find the LCM of 3, 11 and 2.
  20. 20.Find the LCM of 9, 10 and 6.
  21. 21.Find the HCF of 64 and 56.
  22. 22.Find the HCF of 35 and 63.
  23. 23.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  24. 24.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  25. 25.Find the LCM of 5, 6 and 4.
  26. 26.Find the LCM of 7, 11 and 2.
  27. 27.Find the HCF of 48 and 30.
  28. 28.Find the LCM of 10, 4 and 2.
  29. 29.Find the LCM of 4, 8 and 7.
  30. 30.Find the LCM of 35 and 45.
  31. 31.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  32. 32.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  33. 33.Find the LCM of 10 and 35.
  34. 34.Find the HCF of 26 and 39.
  35. 35.Find the HCF of 20 and 35.
  36. 36.Find the HCF of 18 and 27.
  37. 37.Find the LCM of 2, 10 and 8.
  38. 38.Find the LCM of 9 and 4.
  39. 39.Find the LCM of 4 and 9.
  40. 40.Find the LCM of 12 and 30.

Answer key

  1. 84
  2. 60
  3. 6
  4. 80
  5. 12
  6. 4
  7. 168
  8. 30
  9. 8
  10. 60
  11. 4
  12. 49
  13. 12
  14. 210
  15. 165
  16. 70
  17. 48
  18. 132
  19. 66
  20. 90
  21. 8
  22. 7
  23. 32
  24. 45
  25. 60
  26. 154
  27. 6
  28. 20
  29. 56
  30. 315
  31. 72
  32. 6
  33. 70
  34. 13
  35. 5
  36. 9
  37. 40
  38. 36
  39. 36
  40. 60

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