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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 601 · 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 4, 11 and 2.
  2. 2.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  3. 3.Find the LCM of 14 and 10.
  4. 4.Find the LCM of 6, 10 and 4.
  5. 5.Find the HCF of 54 and 30.
  6. 6.Find the LCM of 9, 4 and 8.
  7. 7.Find the LCM of 18 and 30.
  8. 8.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  9. 9.Find the LCM of 12 and 30.
  10. 10.Find the HCF of 14 and 49.
  11. 11.Find the HCF of 117 and 91.
  12. 12.Find the LCM of 8, 6 and 15.
  13. 13.Find the LCM of 3, 2 and 14.
  14. 14.Find the HCF of 24 and 27.
  15. 15.Find the LCM of 9, 4 and 2.
  16. 16.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  17. 17.Find the LCM of 20 and 36.
  18. 18.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  19. 19.Find the LCM of 3 and 8.
  20. 20.Find the LCM of 4, 6 and 2.
  21. 21.Find the HCF of 108 and 84.
  22. 22.Find the LCM of 12, 2 and 8.
  23. 23.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  24. 24.Find the HCF of 112 and 98.
  25. 25.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  26. 26.Find the HCF of 36 and 32.
  27. 27.Find the LCM of 45 and 35.
  28. 28.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  29. 29.Find the HCF of 39 and 65.
  30. 30.Find the HCF of 25 and 10.
  31. 31.Find the HCF of 28 and 16.
  32. 32.Find the LCM of 12 and 8.
  33. 33.Find the LCM of 32 and 12.
  34. 34.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  35. 35.Find the LCM of 5, 2 and 11.
  36. 36.Find the HCF of 45 and 54.
  37. 37.Find the LCM of 10, 4 and 3.
  38. 38.Find the LCM of 15, 9 and 5.
  39. 39.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  40. 40.Find the LCM of 28 and 12.

Answer key

  1. 44
  2. 28
  3. 70
  4. 60
  5. 6
  6. 72
  7. 90
  8. 30
  9. 60
  10. 7
  11. 13
  12. 120
  13. 42
  14. 3
  15. 36
  16. 36
  17. 180
  18. 8
  19. 24
  20. 12
  21. 12
  22. 24
  23. 24
  24. 14
  25. 12
  26. 4
  27. 315
  28. 24
  29. 13
  30. 5
  31. 4
  32. 24
  33. 96
  34. 12
  35. 110
  36. 9
  37. 60
  38. 45
  39. 24
  40. 84

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