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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 277 · 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 6 and 14.
  2. 2.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  3. 3.Find the LCM of 48 and 18.
  4. 4.Find the LCM of 4, 13 and 8.
  5. 5.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  6. 6.Find the LCM of 54 and 24.
  7. 7.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  8. 8.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  9. 9.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  10. 10.Find the HCF of 10 and 4.
  11. 11.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  12. 12.Find the LCM of 15, 9 and 2.
  13. 13.Find the LCM of 36 and 16.
  14. 14.Find the LCM of 12 and 32.
  15. 15.Find the LCM of 12 and 9.
  16. 16.Find the LCM of 13, 8 and 2.
  17. 17.Find the HCF of 90 and 75.
  18. 18.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  19. 19.Find the LCM of 21 and 12.
  20. 20.Find the LCM of 2 and 9.
  21. 21.Find the HCF of 18 and 15.
  22. 22.Find the LCM of 27 and 24.
  23. 23.Find the HCF of 35 and 10.
  24. 24.Find the LCM of 54 and 12.
  25. 25.Find the LCM of 20 and 15.
  26. 26.Find the HCF of 45 and 18.
  27. 27.Find the HCF of 60 and 135.
  28. 28.Find the HCF of 35 and 14.
  29. 29.Find the LCM of 2, 6 and 13.
  30. 30.Find the LCM of 11, 4 and 12.
  31. 31.Find the LCM of 7 and 3.
  32. 32.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  33. 33.Find the LCM of 15, 10 and 5.
  34. 34.Find the LCM of 12, 9 and 5.
  35. 35.Find the HCF of 96 and 108.
  36. 36.Find the LCM of 28 and 20.
  37. 37.Find the LCM of 14 and 10.
  38. 38.Find the LCM of 4 and 10.
  39. 39.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  40. 40.Find the HCF of 56 and 64.

Answer key

  1. 42
  2. 6
  3. 144
  4. 104
  5. 21
  6. 216
  7. 10
  8. 20
  9. 28
  10. 2
  11. 30
  12. 90
  13. 144
  14. 96
  15. 36
  16. 104
  17. 15
  18. 54
  19. 84
  20. 18
  21. 3
  22. 216
  23. 5
  24. 108
  25. 60
  26. 9
  27. 15
  28. 7
  29. 78
  30. 132
  31. 21
  32. 15
  33. 30
  34. 180
  35. 12
  36. 140
  37. 70
  38. 20
  39. 12
  40. 8

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