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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 259 · 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 9 and 5.
  2. 2.Find the LCM of 18 and 42.
  3. 3.Find the HCF of 60 and 84.
  4. 4.Find the HCF of 75 and 105.
  5. 5.Find the HCF of 9 and 15.
  6. 6.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  7. 7.Find the LCM of 14, 9 and 2.
  8. 8.Find the HCF of 77 and 99.
  9. 9.Find the LCM of 8, 14 and 3.
  10. 10.Find the HCF of 65 and 39.
  11. 11.Find the LCM of 2, 4 and 3.
  12. 12.Find the HCF of 15 and 18.
  13. 13.Find the LCM of 14, 10 and 6.
  14. 14.Find the HCF of 36 and 32.
  15. 15.Find the HCF of 60 and 96.
  16. 16.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  17. 17.Find the LCM of 2 and 3.
  18. 18.Find the LCM of 30 and 48.
  19. 19.Find the HCF of 10 and 4.
  20. 20.Find the LCM of 7 and 2.
  21. 21.Find the LCM of 3, 6 and 4.
  22. 22.Find the HCF of 90 and 80.
  23. 23.Find the HCF of 45 and 105.
  24. 24.Find the HCF of 18 and 14.
  25. 25.Find the LCM of 12 and 15.
  26. 26.Find the LCM of 2, 3 and 4.
  27. 27.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  28. 28.Find the HCF of 99 and 55.
  29. 29.Find the HCF of 60 and 75.
  30. 30.Find the LCM of 18 and 10.
  31. 31.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  32. 32.Find the LCM of 16 and 10.
  33. 33.Find the HCF of 24 and 54.
  34. 34.Find the LCM of 32 and 20.
  35. 35.Find the HCF of 20 and 28.
  36. 36.Find the LCM of 3 and 7.
  37. 37.Find the LCM of 45 and 25.
  38. 38.Find the LCM of 15, 11 and 5.
  39. 39.Find the LCM of 8, 6 and 4.
  40. 40.Find the LCM of 18 and 48.

Answer key

  1. 45
  2. 126
  3. 12
  4. 15
  5. 3
  6. 28
  7. 126
  8. 11
  9. 168
  10. 13
  11. 12
  12. 3
  13. 210
  14. 4
  15. 12
  16. 63
  17. 6
  18. 240
  19. 2
  20. 14
  21. 12
  22. 10
  23. 15
  24. 2
  25. 60
  26. 12
  27. 21
  28. 11
  29. 15
  30. 90
  31. 64
  32. 80
  33. 6
  34. 160
  35. 4
  36. 21
  37. 225
  38. 165
  39. 24
  40. 144

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