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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 287 · 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 3, 10 and 6.
  2. 2.Find the LCM of 9, 3 and 6.
  3. 3.Find the LCM of 10, 5 and 14.
  4. 4.Find the LCM of 21 and 27.
  5. 5.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  6. 6.Find the LCM of 14, 8 and 2.
  7. 7.Find the LCM of 13, 4 and 8.
  8. 8.Find the HCF of 6 and 14.
  9. 9.Find the LCM of 45 and 35.
  10. 10.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  11. 11.Find the LCM of 4 and 3.
  12. 12.Find the LCM of 25 and 10.
  13. 13.Find the LCM of 3, 15 and 5.
  14. 14.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  15. 15.Find the LCM of 15 and 40.
  16. 16.Find the LCM of 3, 6 and 8.
  17. 17.Find the LCM of 30 and 35.
  18. 18.Find the HCF of 52 and 65.
  19. 19.Find the LCM of 25 and 15.
  20. 20.Find the HCF of 20 and 30.
  21. 21.Find the LCM of 25 and 45.
  22. 22.Find the HCF of 15 and 24.
  23. 23.Find the LCM of 6, 7 and 8.
  24. 24.Find the HCF of 21 and 35.
  25. 25.Find the LCM of 5, 9 and 3.
  26. 26.Find the HCF of 64 and 72.
  27. 27.Find the LCM of 12, 3 and 4.
  28. 28.Find the HCF of 36 and 48.
  29. 29.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  30. 30.Find the LCM of 2, 15 and 3.
  31. 31.Find the HCF of 33 and 22.
  32. 32.Find the LCM of 6, 2 and 14.
  33. 33.Find the LCM of 10, 5 and 4.
  34. 34.Find the LCM of 54 and 24.
  35. 35.Find the HCF of 54 and 42.
  36. 36.Find the LCM of 18 and 24.
  37. 37.Find the LCM of 15 and 25.
  38. 38.Find the LCM of 8, 11 and 2.
  39. 39.Find the LCM of 40 and 45.
  40. 40.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?

Answer key

  1. 30
  2. 18
  3. 70
  4. 189
  5. 16
  6. 56
  7. 104
  8. 2
  9. 315
  10. 20
  11. 12
  12. 50
  13. 15
  14. 6
  15. 120
  16. 24
  17. 210
  18. 13
  19. 75
  20. 10
  21. 225
  22. 3
  23. 168
  24. 7
  25. 45
  26. 8
  27. 12
  28. 12
  29. 14
  30. 30
  31. 11
  32. 42
  33. 20
  34. 216
  35. 6
  36. 72
  37. 75
  38. 88
  39. 360
  40. 10

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