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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 404 · 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 112. One of the numbers is 16. What is the other number?
  2. 2.Find the LCM of 6, 2 and 14.
  3. 3.Find the LCM of 8, 4 and 7.
  4. 4.Find the LCM of 3, 4 and 14.
  5. 5.Find the LCM of 9, 2 and 6.
  6. 6.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  7. 7.Find the LCM of 8, 13 and 4.
  8. 8.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  9. 9.Find the LCM of 3, 13 and 2.
  10. 10.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  11. 11.Find the HCF of 36 and 81.
  12. 12.Find the LCM of 12, 2 and 6.
  13. 13.Find the LCM of 28 and 32.
  14. 14.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  15. 15.Find the LCM of 35 and 45.
  16. 16.Find the LCM of 9 and 24.
  17. 17.Find the LCM of 15, 7 and 2.
  18. 18.Find the HCF of 22 and 33.
  19. 19.Find the HCF of 81 and 18.
  20. 20.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  21. 21.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  22. 22.Find the LCM of 6, 2 and 7.
  23. 23.Find the LCM of 16 and 10.
  24. 24.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  25. 25.Find the HCF of 60 and 45.
  26. 26.Find the LCM of 32 and 28.
  27. 27.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  28. 28.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  29. 29.Find the HCF of 27 and 15.
  30. 30.Find the HCF of 18 and 10.
  31. 31.Find the LCM of 2 and 5.
  32. 32.Find the HCF of 81 and 45.
  33. 33.Find the LCM of 28 and 20.
  34. 34.Find the LCM of 6 and 16.
  35. 35.Find the LCM of 13, 3 and 12.
  36. 36.Find the LCM of 8, 2 and 4.
  37. 37.Find the LCM of 6, 10 and 3.
  38. 38.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  39. 39.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  40. 40.Find the LCM of 10, 14 and 15.

Answer key

  1. 28
  2. 42
  3. 56
  4. 84
  5. 18
  6. 30
  7. 104
  8. 16
  9. 78
  10. 30
  11. 9
  12. 12
  13. 224
  14. 20
  15. 315
  16. 72
  17. 210
  18. 11
  19. 9
  20. 40
  21. 10
  22. 42
  23. 80
  24. 14
  25. 15
  26. 224
  27. 18
  28. 16
  29. 3
  30. 2
  31. 10
  32. 9
  33. 140
  34. 48
  35. 156
  36. 8
  37. 30
  38. 16
  39. 72
  40. 210

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