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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 92 · 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.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  2. 2.Find the LCM of 9, 3 and 6.
  3. 3.Find the HCF of 135 and 30.
  4. 4.Find the HCF of 56 and 48.
  5. 5.Find the LCM of 10 and 6.
  6. 6.Find the LCM of 2, 4 and 3.
  7. 7.Find the LCM of 5, 6 and 10.
  8. 8.Find the LCM of 6, 4 and 14.
  9. 9.Find the LCM of 15, 3 and 8.
  10. 10.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  11. 11.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  12. 12.Find the HCF of 22 and 33.
  13. 13.Find the LCM of 15, 8 and 3.
  14. 14.Find the HCF of 10 and 18.
  15. 15.Find the HCF of 25 and 45.
  16. 16.Find the HCF of 12 and 18.
  17. 17.Find the LCM of 8, 14 and 3.
  18. 18.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  19. 19.Find the HCF of 42 and 56.
  20. 20.Find the LCM of 9, 15 and 2.
  21. 21.Find the HCF of 70 and 84.
  22. 22.Find the LCM of 14, 7 and 3.
  23. 23.Find the LCM of 9, 6 and 5.
  24. 24.Find the LCM of 45 and 10.
  25. 25.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  26. 26.Find the LCM of 4 and 7.
  27. 27.Find the LCM of 11, 3 and 15.
  28. 28.Find the LCM of 8 and 3.
  29. 29.Find the LCM of 2, 12 and 13.
  30. 30.Find the LCM of 4 and 5.
  31. 31.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  32. 32.Find the LCM of 15 and 21.
  33. 33.Find the HCF of 28 and 8.
  34. 34.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  35. 35.Find the LCM of 10 and 4.
  36. 36.Find the HCF of 28 and 21.
  37. 37.Find the LCM of 16 and 6.
  38. 38.Find the HCF of 72 and 45.
  39. 39.Find the HCF of 16 and 56.
  40. 40.Find the LCM of 10, 9 and 3.

Answer key

  1. 40
  2. 18
  3. 15
  4. 8
  5. 30
  6. 12
  7. 30
  8. 84
  9. 120
  10. 15
  11. 35
  12. 11
  13. 120
  14. 2
  15. 5
  16. 6
  17. 168
  18. 30
  19. 14
  20. 90
  21. 14
  22. 42
  23. 90
  24. 90
  25. 24
  26. 28
  27. 165
  28. 24
  29. 156
  30. 20
  31. 49
  32. 105
  33. 4
  34. 16
  35. 20
  36. 7
  37. 48
  38. 9
  39. 8
  40. 90

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