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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 542 · 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 HCF of 60 and 108.
  2. 2.Find the HCF of 117 and 26.
  3. 3.Find the LCM of 10 and 14.
  4. 4.Find the LCM of 9 and 8.
  5. 5.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  6. 6.Find the LCM of 5 and 2.
  7. 7.Find the LCM of 42 and 18.
  8. 8.Find the LCM of 8 and 12.
  9. 9.Find the LCM of 28 and 20.
  10. 10.Find the LCM of 45 and 20.
  11. 11.Find the HCF of 48 and 42.
  12. 12.Find the HCF of 20 and 15.
  13. 13.Find the LCM of 35 and 45.
  14. 14.Find the LCM of 6, 9 and 13.
  15. 15.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  16. 16.Find the HCF of 55 and 22.
  17. 17.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  18. 18.Find the LCM of 4, 12 and 10.
  19. 19.Find the LCM of 35 and 10.
  20. 20.Find the LCM of 12 and 16.
  21. 21.Find the LCM of 5 and 7.
  22. 22.Find the HCF of 42 and 12.
  23. 23.Find the LCM of 16 and 20.
  24. 24.Find the HCF of 48 and 18.
  25. 25.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  26. 26.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  27. 27.Find the LCM of 3, 4 and 7.
  28. 28.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  29. 29.Find the LCM of 2 and 9.
  30. 30.Find the LCM of 18 and 14.
  31. 31.Find the LCM of 5, 3 and 10.
  32. 32.Find the LCM of 11, 2 and 6.
  33. 33.Find the HCF of 8 and 12.
  34. 34.Find the HCF of 90 and 75.
  35. 35.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  36. 36.Find the LCM of 36 and 30.
  37. 37.Find the LCM of 6 and 27.
  38. 38.Find the LCM of 10 and 15.
  39. 39.Find the HCF of 36 and 20.
  40. 40.Find the LCM of 6 and 15.

Answer key

  1. 12
  2. 13
  3. 70
  4. 72
  5. 6
  6. 10
  7. 126
  8. 24
  9. 140
  10. 180
  11. 6
  12. 5
  13. 315
  14. 234
  15. 35
  16. 11
  17. 81
  18. 60
  19. 70
  20. 48
  21. 35
  22. 6
  23. 80
  24. 6
  25. 18
  26. 45
  27. 84
  28. 40
  29. 18
  30. 126
  31. 30
  32. 66
  33. 4
  34. 15
  35. 14
  36. 180
  37. 54
  38. 30
  39. 4
  40. 30

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