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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 625 · 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 3, 10 and 9.
  2. 2.Find the LCM of 18 and 10.
  3. 3.Find the LCM of 14, 6 and 4.
  4. 4.Find the LCM of 25 and 35.
  5. 5.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  6. 6.Find the LCM of 6, 9 and 3.
  7. 7.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  8. 8.Find the LCM of 32 and 36.
  9. 9.Find the HCF of 84 and 60.
  10. 10.Find the HCF of 20 and 8.
  11. 11.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  12. 12.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  13. 13.Find the HCF of 24 and 16.
  14. 14.Find the HCF of 42 and 36.
  15. 15.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  16. 16.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  17. 17.Find the HCF of 77 and 99.
  18. 18.Find the LCM of 9, 8 and 4.
  19. 19.Find the LCM of 4 and 5.
  20. 20.Find the HCF of 35 and 42.
  21. 21.Find the HCF of 52 and 39.
  22. 22.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  23. 23.Find the HCF of 90 and 75.
  24. 24.Find the HCF of 28 and 32.
  25. 25.Find the LCM of 3, 14 and 6.
  26. 26.Find the LCM of 5 and 6.
  27. 27.Find the HCF of 27 and 12.
  28. 28.Find the LCM of 36 and 32.
  29. 29.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  30. 30.Find the LCM of 5, 6 and 7.
  31. 31.Find the LCM of 4, 12 and 14.
  32. 32.Find the HCF of 35 and 10.
  33. 33.Find the HCF of 36 and 81.
  34. 34.Find the LCM of 8, 14 and 7.
  35. 35.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  36. 36.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  37. 37.Find the HCF of 24 and 9.
  38. 38.Find the LCM of 2, 14 and 12.
  39. 39.Find the HCF of 90 and 80.
  40. 40.Find the LCM of 7 and 6.

Answer key

  1. 90
  2. 90
  3. 84
  4. 175
  5. 12
  6. 18
  7. 27
  8. 288
  9. 12
  10. 4
  11. 24
  12. 18
  13. 8
  14. 6
  15. 35
  16. 45
  17. 11
  18. 72
  19. 20
  20. 7
  21. 13
  22. 21
  23. 15
  24. 4
  25. 42
  26. 30
  27. 3
  28. 288
  29. 25
  30. 210
  31. 84
  32. 5
  33. 9
  34. 56
  35. 40
  36. 27
  37. 3
  38. 84
  39. 10
  40. 42

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