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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 478 · 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 12, 2 and 13.
  2. 2.Find the LCM of 6, 3 and 14.
  3. 3.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  4. 4.Find the HCF of 28 and 24.
  5. 5.Find the HCF of 48 and 56.
  6. 6.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  7. 7.Find the LCM of 14, 9 and 6.
  8. 8.Find the LCM of 7, 9 and 2.
  9. 9.Find the LCM of 12 and 15.
  10. 10.Find the LCM of 8, 10 and 12.
  11. 11.Find the HCF of 21 and 14.
  12. 12.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  13. 13.Find the LCM of 12, 10 and 4.
  14. 14.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  15. 15.Find the LCM of 8, 2 and 3.
  16. 16.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  17. 17.Find the LCM of 8, 14 and 4.
  18. 18.Find the LCM of 8, 7 and 3.
  19. 19.Find the LCM of 32 and 28.
  20. 20.Find the LCM of 2, 13 and 12.
  21. 21.Find the LCM of 5 and 2.
  22. 22.Find the LCM of 7 and 8.
  23. 23.Find the LCM of 10 and 25.
  24. 24.Find the HCF of 52 and 91.
  25. 25.Find the LCM of 2 and 5.
  26. 26.Find the LCM of 15 and 10.
  27. 27.Find the LCM of 10, 15 and 12.
  28. 28.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  29. 29.Find the HCF of 32 and 20.
  30. 30.Find the HCF of 27 and 12.
  31. 31.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  32. 32.Find the HCF of 27 and 45.
  33. 33.Find the HCF of 80 and 90.
  34. 34.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  35. 35.Find the HCF of 24 and 60.
  36. 36.Find the HCF of 36 and 60.
  37. 37.Find the HCF of 39 and 104.
  38. 38.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  39. 39.Find the LCM of 18 and 4.
  40. 40.Find the LCM of 15 and 6.

Answer key

  1. 156
  2. 42
  3. 14
  4. 4
  5. 8
  6. 27
  7. 126
  8. 126
  9. 60
  10. 120
  11. 7
  12. 48
  13. 60
  14. 24
  15. 24
  16. 9
  17. 56
  18. 168
  19. 224
  20. 156
  21. 10
  22. 56
  23. 50
  24. 13
  25. 10
  26. 30
  27. 60
  28. 8
  29. 4
  30. 3
  31. 40
  32. 9
  33. 10
  34. 27
  35. 12
  36. 12
  37. 13
  38. 40
  39. 36
  40. 30

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