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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 825 · 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 14, 6 and 8.
  2. 2.Find the HCF of 35 and 21.
  3. 3.Find the LCM of 4, 7 and 3.
  4. 4.Find the HCF of 30 and 135.
  5. 5.Find the LCM of 3, 15 and 10.
  6. 6.Find the LCM of 12 and 8.
  7. 7.Find the LCM of 12, 14 and 8.
  8. 8.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  9. 9.Find the LCM of 6, 3 and 13.
  10. 10.Find the LCM of 36 and 42.
  11. 11.Find the HCF of 108 and 48.
  12. 12.Find the HCF of 98 and 28.
  13. 13.Find the LCM of 4, 7 and 12.
  14. 14.Find the HCF of 4 and 10.
  15. 15.Find the LCM of 35 and 25.
  16. 16.Find the LCM of 5, 12 and 15.
  17. 17.Find the LCM of 3, 10 and 8.
  18. 18.Find the HCF of 20 and 28.
  19. 19.Find the LCM of 54 and 12.
  20. 20.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  21. 21.Find the HCF of 10 and 35.
  22. 22.Find the LCM of 13, 8 and 4.
  23. 23.Find the LCM of 4, 14 and 10.
  24. 24.Find the LCM of 12 and 27.
  25. 25.Find the HCF of 52 and 91.
  26. 26.Find the LCM of 10, 2 and 12.
  27. 27.Find the LCM of 4 and 14.
  28. 28.Find the HCF of 36 and 28.
  29. 29.Find the LCM of 2, 13 and 4.
  30. 30.Find the LCM of 14 and 12.
  31. 31.Find the LCM of 45 and 25.
  32. 32.Find the LCM of 15, 10 and 8.
  33. 33.Find the LCM of 6 and 4.
  34. 34.Find the HCF of 42 and 49.
  35. 35.Find the LCM of 12 and 14.
  36. 36.Find the HCF of 20 and 45.
  37. 37.Find the LCM of 2 and 9.
  38. 38.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  39. 39.Find the LCM of 2, 4 and 6.
  40. 40.Find the HCF of 40 and 90.

Answer key

  1. 168
  2. 7
  3. 84
  4. 15
  5. 30
  6. 24
  7. 168
  8. 12
  9. 78
  10. 252
  11. 12
  12. 14
  13. 84
  14. 2
  15. 175
  16. 60
  17. 120
  18. 4
  19. 108
  20. 25
  21. 5
  22. 104
  23. 140
  24. 108
  25. 13
  26. 60
  27. 28
  28. 4
  29. 52
  30. 84
  31. 225
  32. 120
  33. 12
  34. 7
  35. 84
  36. 5
  37. 18
  38. 18
  39. 12
  40. 10

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