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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 546 · 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 6, 2 and 13.
  2. 2.Find the LCM of 9, 6 and 14.
  3. 3.Find the LCM of 2, 3 and 6.
  4. 4.Find the LCM of 6, 12 and 4.
  5. 5.Find the LCM of 8, 3 and 4.
  6. 6.Find the HCF of 28 and 24.
  7. 7.Find the HCF of 80 and 70.
  8. 8.Find the LCM of 12, 8 and 5.
  9. 9.Find the HCF of 77 and 33.
  10. 10.Find the LCM of 6, 12 and 15.
  11. 11.Find the LCM of 18 and 15.
  12. 12.Find the LCM of 54 and 12.
  13. 13.Find the HCF of 32 and 40.
  14. 14.Find the HCF of 50 and 60.
  15. 15.Find the HCF of 6 and 16.
  16. 16.Find the LCM of 8 and 18.
  17. 17.Find the LCM of 8 and 14.
  18. 18.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  19. 19.Find the LCM of 54 and 30.
  20. 20.Find the LCM of 5, 10 and 3.
  21. 21.Find the LCM of 2 and 7.
  22. 22.Find the LCM of 9 and 6.
  23. 23.Find the HCF of 72 and 63.
  24. 24.Find the LCM of 3 and 7.
  25. 25.Find the LCM of 10, 4 and 3.
  26. 26.Find the LCM of 4, 10 and 5.
  27. 27.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  28. 28.Find the HCF of 55 and 99.
  29. 29.Find the LCM of 6 and 14.
  30. 30.Find the LCM of 15, 5 and 9.
  31. 31.Find the LCM of 10 and 35.
  32. 32.Find the LCM of 10, 9 and 2.
  33. 33.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  34. 34.Find the LCM of 3, 11 and 7.
  35. 35.Find the HCF of 48 and 56.
  36. 36.Find the LCM of 10, 2 and 8.
  37. 37.Find the LCM of 2, 12 and 11.
  38. 38.Find the HCF of 28 and 126.
  39. 39.Find the LCM of 2, 7 and 10.
  40. 40.Find the LCM of 8, 10 and 3.

Answer key

  1. 78
  2. 126
  3. 6
  4. 12
  5. 24
  6. 4
  7. 10
  8. 120
  9. 11
  10. 60
  11. 90
  12. 108
  13. 8
  14. 10
  15. 2
  16. 72
  17. 56
  18. 30
  19. 270
  20. 30
  21. 14
  22. 18
  23. 9
  24. 21
  25. 60
  26. 20
  27. 35
  28. 11
  29. 42
  30. 45
  31. 70
  32. 90
  33. 35
  34. 231
  35. 8
  36. 40
  37. 132
  38. 14
  39. 70
  40. 120

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