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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 786 · 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 12 and 10.
  2. 2.Find the LCM of 6 and 16.
  3. 3.Find the LCM of 27 and 21.
  4. 4.Find the LCM of 6 and 8.
  5. 5.Find the LCM of 3, 4 and 10.
  6. 6.Find the LCM of 12 and 27.
  7. 7.Find the HCF of 48 and 30.
  8. 8.Find the HCF of 14 and 12.
  9. 9.Find the LCM of 8 and 18.
  10. 10.Find the HCF of 4 and 10.
  11. 11.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  12. 12.Find the LCM of 5 and 3.
  13. 13.Find the LCM of 6 and 14.
  14. 14.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  15. 15.Find the HCF of 48 and 56.
  16. 16.Find the LCM of 10 and 35.
  17. 17.Find the LCM of 7, 14 and 5.
  18. 18.Find the LCM of 2, 3 and 4.
  19. 19.Find the HCF of 36 and 20.
  20. 20.Find the LCM of 15, 5 and 6.
  21. 21.Find the LCM of 32 and 20.
  22. 22.Find the HCF of 40 and 15.
  23. 23.Find the LCM of 4, 12 and 7.
  24. 24.Find the LCM of 2, 6 and 15.
  25. 25.Find the LCM of 3 and 8.
  26. 26.Find the LCM of 15, 5 and 14.
  27. 27.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  28. 28.Find the LCM of 11, 7 and 14.
  29. 29.Find the LCM of 6, 3 and 13.
  30. 30.Find the LCM of 3 and 5.
  31. 31.Find the LCM of 16 and 6.
  32. 32.Find the HCF of 32 and 28.
  33. 33.Find the LCM of 12 and 32.
  34. 34.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  35. 35.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  36. 36.Find the LCM of 3, 9 and 5.
  37. 37.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  38. 38.Find the HCF of 21 and 9.
  39. 39.Find the LCM of 6 and 5.
  40. 40.Find the LCM of 4 and 5.

Answer key

  1. 60
  2. 48
  3. 189
  4. 24
  5. 60
  6. 108
  7. 6
  8. 2
  9. 72
  10. 2
  11. 25
  12. 15
  13. 42
  14. 42
  15. 8
  16. 70
  17. 70
  18. 12
  19. 4
  20. 30
  21. 160
  22. 5
  23. 84
  24. 30
  25. 24
  26. 210
  27. 12
  28. 154
  29. 78
  30. 15
  31. 48
  32. 4
  33. 96
  34. 4
  35. 6
  36. 45
  37. 36
  38. 3
  39. 30
  40. 20

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