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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 770 · 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 18 and 48.
  2. 2.Find the HCF of 10 and 15.
  3. 3.Find the LCM of 12, 2 and 13.
  4. 4.Find the LCM of 11, 5 and 15.
  5. 5.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  6. 6.Find the LCM of 3, 2 and 9.
  7. 7.Find the HCF of 8 and 14.
  8. 8.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  9. 9.Find the LCM of 4 and 18.
  10. 10.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  11. 11.Find the HCF of 48 and 108.
  12. 12.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  13. 13.Find the LCM of 6, 5 and 10.
  14. 14.Find the LCM of 5, 15 and 4.
  15. 15.Find the HCF of 28 and 36.
  16. 16.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  17. 17.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  18. 18.Find the LCM of 28 and 12.
  19. 19.Find the LCM of 25 and 35.
  20. 20.Find the LCM of 7 and 8.
  21. 21.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  22. 22.Find the HCF of 32 and 28.
  23. 23.Find the HCF of 18 and 15.
  24. 24.Find the LCM of 2 and 9.
  25. 25.Find the HCF of 28 and 8.
  26. 26.Find the LCM of 2, 13 and 8.
  27. 27.Find the LCM of 12, 4 and 8.
  28. 28.Find the LCM of 25 and 30.
  29. 29.Find the LCM of 4 and 6.
  30. 30.Find the LCM of 6, 11 and 2.
  31. 31.Find the HCF of 30 and 36.
  32. 32.Find the LCM of 21 and 18.
  33. 33.Find the LCM of 15, 13 and 5.
  34. 34.Find the LCM of 10, 4 and 3.
  35. 35.Find the HCF of 88 and 99.
  36. 36.Find the HCF of 35 and 20.
  37. 37.Find the LCM of 15, 7 and 2.
  38. 38.Find the LCM of 12 and 18.
  39. 39.Find the LCM of 12, 2 and 7.
  40. 40.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?

Answer key

  1. 144
  2. 5
  3. 156
  4. 165
  5. 64
  6. 18
  7. 2
  8. 54
  9. 36
  10. 28
  11. 12
  12. 72
  13. 30
  14. 60
  15. 4
  16. 9
  17. 25
  18. 84
  19. 175
  20. 56
  21. 15
  22. 4
  23. 3
  24. 18
  25. 4
  26. 104
  27. 24
  28. 150
  29. 12
  30. 66
  31. 6
  32. 126
  33. 195
  34. 60
  35. 11
  36. 5
  37. 210
  38. 36
  39. 84
  40. 15

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