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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 861 · 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, 8 and 3.
  2. 2.Find the LCM of 10 and 12.
  3. 3.Find the HCF of 14 and 12.
  4. 4.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  5. 5.Find the LCM of 6 and 14.
  6. 6.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  7. 7.Find the LCM of 4 and 14.
  8. 8.Find the LCM of 5, 2 and 8.
  9. 9.Find the HCF of 40 and 25.
  10. 10.Find the LCM of 12 and 15.
  11. 11.Find the HCF of 20 and 90.
  12. 12.Find the HCF of 28 and 20.
  13. 13.Find the HCF of 36 and 30.
  14. 14.Find the LCM of 3 and 2.
  15. 15.Find the LCM of 54 and 12.
  16. 16.Find the HCF of 10 and 45.
  17. 17.Find the LCM of 54 and 30.
  18. 18.Find the LCM of 3, 5 and 8.
  19. 19.Find the LCM of 8 and 36.
  20. 20.Find the HCF of 20 and 36.
  21. 21.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  22. 22.Find the HCF of 8 and 12.
  23. 23.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  24. 24.Find the HCF of 63 and 35.
  25. 25.Find the LCM of 27 and 24.
  26. 26.Find the HCF of 14 and 35.
  27. 27.Find the HCF of 24 and 56.
  28. 28.Find the LCM of 2 and 5.
  29. 29.Find the LCM of 15, 6 and 12.
  30. 30.Find the HCF of 9 and 6.
  31. 31.Find the LCM of 3 and 5.
  32. 32.Find the LCM of 6, 12 and 5.
  33. 33.Find the HCF of 48 and 84.
  34. 34.Find the LCM of 2, 14 and 12.
  35. 35.Find the LCM of 18 and 24.
  36. 36.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  37. 37.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  38. 38.Find the LCM of 5 and 3.
  39. 39.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  40. 40.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?

Answer key

  1. 24
  2. 60
  3. 2
  4. 24
  5. 42
  6. 12
  7. 28
  8. 40
  9. 5
  10. 60
  11. 10
  12. 4
  13. 6
  14. 6
  15. 108
  16. 5
  17. 270
  18. 120
  19. 72
  20. 4
  21. 40
  22. 4
  23. 21
  24. 7
  25. 216
  26. 7
  27. 8
  28. 10
  29. 60
  30. 3
  31. 15
  32. 60
  33. 12
  34. 84
  35. 72
  36. 63
  37. 27
  38. 15
  39. 35
  40. 12

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