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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 308 · 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 15, 3 and 9.
  2. 2.Find the HCF of 16 and 14.
  3. 3.Find the LCM of 4 and 14.
  4. 4.Find the LCM of 9 and 2.
  5. 5.Find the HCF of 42 and 18.
  6. 6.Find the LCM of 6 and 16.
  7. 7.Find the LCM of 3, 8 and 9.
  8. 8.Find the LCM of 6 and 5.
  9. 9.Find the LCM of 10 and 25.
  10. 10.Find the HCF of 6 and 8.
  11. 11.Find the LCM of 7, 5 and 4.
  12. 12.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  13. 13.Find the LCM of 3 and 2.
  14. 14.Find the LCM of 9, 10 and 6.
  15. 15.Find the HCF of 54 and 63.
  16. 16.Find the LCM of 45 and 35.
  17. 17.Find the HCF of 28 and 70.
  18. 18.Find the LCM of 5, 9 and 4.
  19. 19.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  20. 20.Find the HCF of 36 and 8.
  21. 21.Find the HCF of 32 and 36.
  22. 22.Find the LCM of 8 and 9.
  23. 23.Find the HCF of 30 and 12.
  24. 24.Find the LCM of 9, 7 and 3.
  25. 25.Find the LCM of 5, 14 and 3.
  26. 26.Find the LCM of 5, 14 and 6.
  27. 27.Find the HCF of 63 and 27.
  28. 28.Find the LCM of 2 and 9.
  29. 29.Find the LCM of 5 and 6.
  30. 30.Find the HCF of 60 and 70.
  31. 31.Find the HCF of 28 and 63.
  32. 32.Find the LCM of 2, 6 and 5.
  33. 33.Find the HCF of 10 and 15.
  34. 34.Find the LCM of 6, 13 and 3.
  35. 35.Find the HCF of 105 and 75.
  36. 36.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  37. 37.Find the LCM of 5, 15 and 4.
  38. 38.Find the HCF of 21 and 56.
  39. 39.Find the LCM of 8, 3 and 14.
  40. 40.Find the LCM of 15, 6 and 4.

Answer key

  1. 45
  2. 2
  3. 28
  4. 18
  5. 6
  6. 48
  7. 72
  8. 30
  9. 50
  10. 2
  11. 140
  12. 16
  13. 6
  14. 90
  15. 9
  16. 315
  17. 14
  18. 180
  19. 28
  20. 4
  21. 4
  22. 72
  23. 6
  24. 63
  25. 210
  26. 210
  27. 9
  28. 18
  29. 30
  30. 10
  31. 7
  32. 30
  33. 5
  34. 78
  35. 15
  36. 56
  37. 60
  38. 7
  39. 168
  40. 60

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