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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 163 · 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 4, 10 and 14.
  2. 2.Find the HCF of 27 and 18.
  3. 3.Find the LCM of 9, 6 and 15.
  4. 4.Find the HCF of 45 and 72.
  5. 5.Find the HCF of 72 and 63.
  6. 6.Find the LCM of 45 and 25.
  7. 7.Find the HCF of 56 and 72.
  8. 8.Find the HCF of 15 and 6.
  9. 9.Find the LCM of 8 and 12.
  10. 10.Find the LCM of 4, 12 and 9.
  11. 11.Find the HCF of 42 and 49.
  12. 12.Find the LCM of 8 and 14.
  13. 13.Find the HCF of 9 and 6.
  14. 14.Find the HCF of 6 and 21.
  15. 15.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  16. 16.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  17. 17.Find the LCM of 13, 6 and 4.
  18. 18.Find the LCM of 30 and 12.
  19. 19.Find the LCM of 30 and 36.
  20. 20.Find the LCM of 8, 9 and 2.
  21. 21.Find the LCM of 2, 9 and 13.
  22. 22.Find the HCF of 77 and 22.
  23. 23.Find the LCM of 2, 4 and 11.
  24. 24.Find the LCM of 54 and 12.
  25. 25.Find the HCF of 56 and 126.
  26. 26.Find the LCM of 4, 5 and 7.
  27. 27.Find the HCF of 81 and 72.
  28. 28.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  29. 29.Find the HCF of 21 and 12.
  30. 30.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  31. 31.Find the LCM of 4, 11 and 10.
  32. 32.Find the LCM of 45 and 40.
  33. 33.Find the HCF of 16 and 28.
  34. 34.Find the HCF of 48 and 54.
  35. 35.Find the LCM of 6, 14 and 12.
  36. 36.Find the HCF of 27 and 63.
  37. 37.Find the HCF of 14 and 6.
  38. 38.Find the LCM of 7 and 5.
  39. 39.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  40. 40.Find the LCM of 10, 13 and 5.

Answer key

  1. 140
  2. 9
  3. 90
  4. 9
  5. 9
  6. 225
  7. 8
  8. 3
  9. 24
  10. 36
  11. 7
  12. 56
  13. 3
  14. 3
  15. 49
  16. 12
  17. 156
  18. 60
  19. 180
  20. 72
  21. 234
  22. 11
  23. 44
  24. 108
  25. 14
  26. 140
  27. 9
  28. 35
  29. 3
  30. 36
  31. 220
  32. 360
  33. 4
  34. 6
  35. 84
  36. 9
  37. 2
  38. 35
  39. 12
  40. 130

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