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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 530 · 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.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  2. 2.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  3. 3.Find the LCM of 6 and 8.
  4. 4.Find the LCM of 12 and 10.
  5. 5.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  6. 6.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  7. 7.Find the LCM of 7, 10 and 14.
  8. 8.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  9. 9.Find the LCM of 12 and 18.
  10. 10.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  11. 11.Find the LCM of 6, 4 and 12.
  12. 12.Find the LCM of 5, 6 and 3.
  13. 13.Find the HCF of 28 and 16.
  14. 14.Find the LCM of 13, 4 and 3.
  15. 15.Find the LCM of 10, 14 and 5.
  16. 16.Find the HCF of 10 and 4.
  17. 17.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  18. 18.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  19. 19.Find the LCM of 36 and 42.
  20. 20.Find the HCF of 35 and 40.
  21. 21.Find the LCM of 7, 2 and 3.
  22. 22.Find the LCM of 7, 2 and 14.
  23. 23.Find the HCF of 35 and 49.
  24. 24.Find the LCM of 40 and 15.
  25. 25.Find the LCM of 10 and 12.
  26. 26.Find the HCF of 10 and 16.
  27. 27.Find the HCF of 54 and 12.
  28. 28.Find the HCF of 22 and 77.
  29. 29.Find the HCF of 42 and 28.
  30. 30.Find the LCM of 3, 15 and 6.
  31. 31.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  32. 32.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  33. 33.Find the LCM of 15 and 10.
  34. 34.Find the LCM of 20 and 12.
  35. 35.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  36. 36.Find the LCM of 10, 3 and 6.
  37. 37.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  38. 38.Find the HCF of 48 and 84.
  39. 39.Find the LCM of 35 and 15.
  40. 40.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?

Answer key

  1. 16
  2. 27
  3. 24
  4. 60
  5. 45
  6. 27
  7. 70
  8. 24
  9. 36
  10. 18
  11. 12
  12. 30
  13. 4
  14. 156
  15. 70
  16. 2
  17. 40
  18. 30
  19. 252
  20. 5
  21. 42
  22. 14
  23. 7
  24. 120
  25. 60
  26. 2
  27. 6
  28. 11
  29. 14
  30. 30
  31. 24
  32. 56
  33. 30
  34. 60
  35. 49
  36. 30
  37. 32
  38. 12
  39. 105
  40. 4

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