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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 467 · 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 9 and 12.
  2. 2.Find the LCM of 12 and 9.
  3. 3.Find the LCM of 7, 11 and 3.
  4. 4.Find the LCM of 28 and 16.
  5. 5.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  6. 6.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  7. 7.Find the HCF of 42 and 112.
  8. 8.Find the LCM of 3 and 4.
  9. 9.Find the LCM of 8, 5 and 2.
  10. 10.Find the LCM of 3 and 8.
  11. 11.Find the HCF of 12 and 15.
  12. 12.Find the LCM of 15 and 6.
  13. 13.Find the LCM of 8, 2 and 11.
  14. 14.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  15. 15.Find the HCF of 55 and 66.
  16. 16.Find the HCF of 15 and 10.
  17. 17.Find the HCF of 10 and 45.
  18. 18.Find the HCF of 28 and 63.
  19. 19.Find the LCM of 48 and 42.
  20. 20.Find the LCM of 3, 2 and 8.
  21. 21.Find the LCM of 6, 9 and 8.
  22. 22.Find the LCM of 36 and 20.
  23. 23.Find the LCM of 15 and 18.
  24. 24.Find the LCM of 8, 2 and 4.
  25. 25.Find the LCM of 9, 8 and 2.
  26. 26.Find the LCM of 4 and 3.
  27. 27.Find the LCM of 28 and 8.
  28. 28.Find the LCM of 6, 8 and 4.
  29. 29.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  30. 30.Find the HCF of 20 and 8.
  31. 31.Find the HCF of 35 and 49.
  32. 32.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  33. 33.Find the HCF of 4 and 6.
  34. 34.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  35. 35.Find the LCM of 15, 5 and 6.
  36. 36.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  37. 37.Find the HCF of 22 and 55.
  38. 38.Find the HCF of 40 and 72.
  39. 39.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  40. 40.Find the LCM of 2 and 7.

Answer key

  1. 36
  2. 36
  3. 231
  4. 112
  5. 18
  6. 32
  7. 14
  8. 12
  9. 40
  10. 24
  11. 3
  12. 30
  13. 88
  14. 24
  15. 11
  16. 5
  17. 5
  18. 7
  19. 336
  20. 24
  21. 72
  22. 180
  23. 90
  24. 8
  25. 72
  26. 12
  27. 56
  28. 24
  29. 36
  30. 4
  31. 7
  32. 14
  33. 2
  34. 10
  35. 30
  36. 45
  37. 11
  38. 8
  39. 15
  40. 14

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