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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 256 · 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 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  2. 2.Find the LCM of 2, 7 and 10.
  3. 3.Find the HCF of 91 and 39.
  4. 4.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  5. 5.Find the LCM of 10 and 4.
  6. 6.Find the HCF of 27 and 45.
  7. 7.Find the LCM of 8, 3 and 14.
  8. 8.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  9. 9.Find the LCM of 24 and 15.
  10. 10.Find the LCM of 35 and 20.
  11. 11.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  12. 12.Find the HCF of 20 and 12.
  13. 13.Find the HCF of 44 and 33.
  14. 14.Find the LCM of 7 and 6.
  15. 15.Find the LCM of 24 and 9.
  16. 16.Find the LCM of 3, 14 and 6.
  17. 17.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  18. 18.Find the LCM of 21 and 12.
  19. 19.Find the HCF of 18 and 45.
  20. 20.Find the LCM of 2, 5 and 13.
  21. 21.Find the LCM of 12, 6 and 15.
  22. 22.Find the HCF of 70 and 90.
  23. 23.Find the LCM of 10 and 35.
  24. 24.Find the LCM of 10, 5 and 13.
  25. 25.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  26. 26.Find the LCM of 3 and 4.
  27. 27.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  28. 28.Find the HCF of 8 and 12.
  29. 29.Find the HCF of 64 and 40.
  30. 30.Find the HCF of 60 and 70.
  31. 31.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  32. 32.Find the LCM of 15, 5 and 2.
  33. 33.Find the HCF of 70 and 20.
  34. 34.Find the HCF of 108 and 60.
  35. 35.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  36. 36.Find the LCM of 12 and 27.
  37. 37.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  38. 38.Find the LCM of 16 and 28.
  39. 39.Find the LCM of 20 and 12.
  40. 40.Find the LCM of 20 and 36.

Answer key

  1. 10
  2. 70
  3. 13
  4. 14
  5. 20
  6. 9
  7. 168
  8. 64
  9. 120
  10. 140
  11. 30
  12. 4
  13. 11
  14. 42
  15. 72
  16. 42
  17. 18
  18. 84
  19. 9
  20. 130
  21. 60
  22. 10
  23. 70
  24. 130
  25. 25
  26. 12
  27. 18
  28. 4
  29. 8
  30. 10
  31. 21
  32. 30
  33. 10
  34. 12
  35. 35
  36. 108
  37. 27
  38. 112
  39. 60
  40. 180

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