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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 775 · 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 2, 13 and 9.
  2. 2.Find the HCF of 80 and 30.
  3. 3.Find the LCM of 9 and 8.
  4. 4.Find the HCF of 24 and 40.
  5. 5.Find the HCF of 56 and 70.
  6. 6.Find the LCM of 5 and 3.
  7. 7.Find the HCF of 120 and 135.
  8. 8.Find the LCM of 15, 6 and 4.
  9. 9.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  10. 10.Find the LCM of 3, 12 and 13.
  11. 11.Find the HCF of 27 and 45.
  12. 12.Find the LCM of 28 and 8.
  13. 13.Find the LCM of 2, 7 and 9.
  14. 14.Find the LCM of 8, 15 and 10.
  15. 15.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  16. 16.Find the LCM of 13, 5 and 2.
  17. 17.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  18. 18.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  19. 19.Find the LCM of 5 and 8.
  20. 20.Find the LCM of 14 and 18.
  21. 21.Find the HCF of 64 and 40.
  22. 22.Find the LCM of 13, 2 and 8.
  23. 23.Find the HCF of 56 and 64.
  24. 24.Find the HCF of 27 and 12.
  25. 25.Find the LCM of 36 and 28.
  26. 26.Find the HCF of 20 and 30.
  27. 27.Find the LCM of 6 and 15.
  28. 28.Find the LCM of 2, 12 and 10.
  29. 29.Find the LCM of 12, 2 and 11.
  30. 30.Find the HCF of 39 and 104.
  31. 31.Find the LCM of 3, 14 and 9.
  32. 32.Find the LCM of 12, 11 and 4.
  33. 33.Find the HCF of 6 and 8.
  34. 34.Find the LCM of 8 and 18.
  35. 35.Find the LCM of 21 and 12.
  36. 36.Find the HCF of 18 and 14.
  37. 37.Find the LCM of 11, 15 and 5.
  38. 38.Find the HCF of 10 and 16.
  39. 39.Find the HCF of 18 and 21.
  40. 40.Find the HCF of 135 and 120.

Answer key

  1. 234
  2. 10
  3. 72
  4. 8
  5. 14
  6. 15
  7. 15
  8. 60
  9. 12
  10. 156
  11. 9
  12. 56
  13. 126
  14. 120
  15. 40
  16. 130
  17. 81
  18. 63
  19. 40
  20. 126
  21. 8
  22. 104
  23. 8
  24. 3
  25. 252
  26. 10
  27. 30
  28. 60
  29. 132
  30. 13
  31. 126
  32. 132
  33. 2
  34. 72
  35. 84
  36. 2
  37. 165
  38. 2
  39. 3
  40. 15

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