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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 963 · 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, 15 and 10.
  2. 2.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  3. 3.Find the LCM of 5, 6 and 15.
  4. 4.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  5. 5.Find the LCM of 10, 9 and 5.
  6. 6.Find the LCM of 14 and 4.
  7. 7.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  8. 8.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  9. 9.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  10. 10.Find the LCM of 6, 14 and 9.
  11. 11.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  12. 12.Find the LCM of 12, 3 and 15.
  13. 13.Find the LCM of 8 and 12.
  14. 14.Find the LCM of 2, 13 and 5.
  15. 15.Find the HCF of 24 and 54.
  16. 16.Find the LCM of 15 and 10.
  17. 17.Find the LCM of 15 and 40.
  18. 18.Find the LCM of 11, 5 and 15.
  19. 19.Find the HCF of 42 and 30.
  20. 20.Find the LCM of 45 and 25.
  21. 21.Find the HCF of 24 and 15.
  22. 22.Find the HCF of 40 and 64.
  23. 23.Find the HCF of 70 and 90.
  24. 24.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  25. 25.Find the LCM of 42 and 30.
  26. 26.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  27. 27.Find the HCF of 9 and 21.
  28. 28.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  29. 29.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  30. 30.Find the HCF of 39 and 26.
  31. 31.Find the LCM of 30 and 18.
  32. 32.Find the LCM of 3, 6 and 10.
  33. 33.Find the LCM of 12 and 54.
  34. 34.Find the LCM of 25 and 40.
  35. 35.Find the HCF of 56 and 63.
  36. 36.Find the LCM of 7, 2 and 10.
  37. 37.Find the LCM of 11, 4 and 8.
  38. 38.Find the HCF of 32 and 20.
  39. 39.Find the LCM of 16 and 10.
  40. 40.Find the LCM of 2, 9 and 6.

Answer key

  1. 210
  2. 63
  3. 30
  4. 6
  5. 90
  6. 28
  7. 21
  8. 45
  9. 36
  10. 126
  11. 28
  12. 60
  13. 24
  14. 130
  15. 6
  16. 30
  17. 120
  18. 165
  19. 6
  20. 225
  21. 3
  22. 8
  23. 10
  24. 16
  25. 210
  26. 72
  27. 3
  28. 56
  29. 72
  30. 13
  31. 90
  32. 30
  33. 108
  34. 200
  35. 7
  36. 70
  37. 88
  38. 4
  39. 80
  40. 18

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