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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 199 · 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 3, 14 and 5.
  2. 2.Find the LCM of 18 and 10.
  3. 3.Find the HCF of 91 and 78.
  4. 4.Find the HCF of 105 and 90.
  5. 5.Find the LCM of 12 and 10.
  6. 6.Find the LCM of 14 and 12.
  7. 7.Find the HCF of 48 and 42.
  8. 8.Find the LCM of 45 and 20.
  9. 9.Find the LCM of 42 and 48.
  10. 10.Find the HCF of 15 and 10.
  11. 11.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  12. 12.Find the LCM of 8 and 7.
  13. 13.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  14. 14.Find the LCM of 7 and 3.
  15. 15.Find the LCM of 4, 2 and 8.
  16. 16.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  17. 17.Find the HCF of 18 and 21.
  18. 18.Find the LCM of 45 and 25.
  19. 19.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  20. 20.Find the LCM of 32 and 20.
  21. 21.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  22. 22.Find the LCM of 12 and 54.
  23. 23.Find the HCF of 60 and 72.
  24. 24.Find the LCM of 5, 15 and 2.
  25. 25.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  26. 26.Find the LCM of 45 and 10.
  27. 27.Find the HCF of 18 and 4.
  28. 28.Find the LCM of 2, 7 and 15.
  29. 29.Find the HCF of 45 and 54.
  30. 30.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  31. 31.Find the HCF of 12 and 32.
  32. 32.Find the HCF of 65 and 91.
  33. 33.Find the HCF of 55 and 33.
  34. 34.Find the LCM of 15 and 12.
  35. 35.Find the HCF of 18 and 81.
  36. 36.Find the HCF of 98 and 28.
  37. 37.Find the LCM of 30 and 54.
  38. 38.Find the LCM of 15, 5 and 12.
  39. 39.Find the HCF of 35 and 63.
  40. 40.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?

Answer key

  1. 210
  2. 90
  3. 13
  4. 15
  5. 60
  6. 84
  7. 6
  8. 180
  9. 336
  10. 5
  11. 12
  12. 56
  13. 18
  14. 21
  15. 8
  16. 10
  17. 3
  18. 225
  19. 72
  20. 160
  21. 18
  22. 108
  23. 12
  24. 30
  25. 32
  26. 90
  27. 2
  28. 210
  29. 9
  30. 24
  31. 4
  32. 13
  33. 11
  34. 60
  35. 9
  36. 14
  37. 270
  38. 60
  39. 7
  40. 14

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