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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 393 · 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 and 30.
  2. 2.Find the LCM of 4, 6 and 8.
  3. 3.Find the LCM of 8, 15 and 2.
  4. 4.Find the HCF of 54 and 63.
  5. 5.Find the LCM of 9 and 6.
  6. 6.Find the LCM of 15 and 24.
  7. 7.Find the LCM of 4 and 10.
  8. 8.Find the LCM of 4, 2 and 7.
  9. 9.Find the LCM of 4, 10 and 11.
  10. 10.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  11. 11.Find the LCM of 6, 15 and 8.
  12. 12.Find the HCF of 36 and 42.
  13. 13.Find the HCF of 12 and 16.
  14. 14.Find the HCF of 84 and 72.
  15. 15.Find the LCM of 4, 8 and 13.
  16. 16.Find the LCM of 4 and 18.
  17. 17.Find the HCF of 30 and 48.
  18. 18.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  19. 19.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  20. 20.Find the HCF of 28 and 98.
  21. 21.Find the HCF of 15 and 9.
  22. 22.Find the HCF of 28 and 36.
  23. 23.Find the LCM of 24 and 28.
  24. 24.Find the HCF of 63 and 54.
  25. 25.Find the LCM of 5, 9 and 3.
  26. 26.Find the HCF of 27 and 36.
  27. 27.Find the HCF of 14 and 63.
  28. 28.Find the LCM of 4, 8 and 6.
  29. 29.Find the LCM of 2 and 5.
  30. 30.Find the HCF of 55 and 22.
  31. 31.Find the LCM of 11, 15 and 3.
  32. 32.Find the HCF of 45 and 120.
  33. 33.Find the LCM of 6, 5 and 15.
  34. 34.Find the LCM of 32 and 20.
  35. 35.Find the HCF of 77 and 66.
  36. 36.Find the LCM of 15 and 18.
  37. 37.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  38. 38.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  39. 39.Find the HCF of 48 and 18.
  40. 40.Find the LCM of 8 and 3.

Answer key

  1. 60
  2. 24
  3. 120
  4. 9
  5. 18
  6. 120
  7. 20
  8. 28
  9. 220
  10. 20
  11. 120
  12. 6
  13. 4
  14. 12
  15. 104
  16. 36
  17. 6
  18. 32
  19. 10
  20. 14
  21. 3
  22. 4
  23. 168
  24. 9
  25. 45
  26. 9
  27. 7
  28. 24
  29. 10
  30. 11
  31. 165
  32. 15
  33. 30
  34. 160
  35. 11
  36. 90
  37. 21
  38. 72
  39. 6
  40. 24

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