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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 555 · 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 2, 5 and 6.
  2. 2.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  3. 3.Find the LCM of 5 and 6.
  4. 4.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  5. 5.Find the HCF of 105 and 30.
  6. 6.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  7. 7.Find the LCM of 18 and 24.
  8. 8.Find the LCM of 14, 3 and 9.
  9. 9.Find the LCM of 15 and 27.
  10. 10.Find the LCM of 14 and 18.
  11. 11.Find the LCM of 8 and 28.
  12. 12.Find the HCF of 26 and 91.
  13. 13.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  14. 14.Find the LCM of 6, 14 and 9.
  15. 15.Find the LCM of 6, 15 and 7.
  16. 16.Find the LCM of 9, 8 and 3.
  17. 17.Find the LCM of 30 and 54.
  18. 18.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  19. 19.Find the LCM of 4 and 14.
  20. 20.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  21. 21.Find the LCM of 6 and 21.
  22. 22.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  23. 23.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  24. 24.Find the LCM of 9 and 12.
  25. 25.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  26. 26.Find the LCM of 3, 5 and 6.
  27. 27.Find the LCM of 8 and 3.
  28. 28.Find the LCM of 3 and 4.
  29. 29.Find the HCF of 21 and 24.
  30. 30.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  31. 31.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  32. 32.Find the HCF of 35 and 20.
  33. 33.Find the LCM of 30 and 48.
  34. 34.Find the LCM of 2 and 9.
  35. 35.Find the LCM of 8 and 10.
  36. 36.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  37. 37.Find the LCM of 20 and 12.
  38. 38.Find the HCF of 25 and 40.
  39. 39.Find the HCF of 18 and 24.
  40. 40.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?

Answer key

  1. 30
  2. 8
  3. 30
  4. 49
  5. 15
  6. 36
  7. 72
  8. 126
  9. 135
  10. 126
  11. 56
  12. 13
  13. 14
  14. 126
  15. 210
  16. 72
  17. 270
  18. 42
  19. 28
  20. 35
  21. 42
  22. 18
  23. 15
  24. 36
  25. 24
  26. 30
  27. 24
  28. 12
  29. 3
  30. 6
  31. 49
  32. 5
  33. 240
  34. 18
  35. 40
  36. 24
  37. 60
  38. 5
  39. 6
  40. 16

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