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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 394 · 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 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  2. 2.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  3. 3.Find the LCM of 3, 9 and 2.
  4. 4.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 42 and 54.
  6. 6.Find the LCM of 9, 10 and 6.
  7. 7.Find the LCM of 15, 6 and 2.
  8. 8.Find the HCF of 16 and 40.
  9. 9.Find the LCM of 14 and 8.
  10. 10.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  11. 11.Find the LCM of 12 and 21.
  12. 12.Find the LCM of 27 and 21.
  13. 13.Find the LCM of 4 and 9.
  14. 14.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  15. 15.Find the LCM of 14, 12 and 4.
  16. 16.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  17. 17.Find the HCF of 21 and 27.
  18. 18.Find the LCM of 2, 3 and 13.
  19. 19.Find the LCM of 4, 14 and 7.
  20. 20.Find the LCM of 12 and 10.
  21. 21.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  22. 22.Find the LCM of 2, 11 and 14.
  23. 23.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  24. 24.Find the LCM of 21 and 15.
  25. 25.Find the HCF of 36 and 24.
  26. 26.Find the HCF of 18 and 48.
  27. 27.Find the LCM of 35 and 20.
  28. 28.Find the LCM of 2, 4 and 7.
  29. 29.Find the LCM of 3, 12 and 9.
  30. 30.Find the HCF of 49 and 42.
  31. 31.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  32. 32.Find the LCM of 25 and 20.
  33. 33.Find the LCM of 9 and 2.
  34. 34.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  35. 35.Find the HCF of 25 and 10.
  36. 36.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  37. 37.Find the HCF of 32 and 24.
  38. 38.Find the LCM of 25 and 45.
  39. 39.Find the LCM of 9, 10 and 2.
  40. 40.Find the HCF of 24 and 30.

Answer key

  1. 28
  2. 72
  3. 18
  4. 4
  5. 378
  6. 90
  7. 30
  8. 8
  9. 56
  10. 42
  11. 84
  12. 189
  13. 36
  14. 45
  15. 84
  16. 18
  17. 3
  18. 78
  19. 28
  20. 60
  21. 63
  22. 154
  23. 27
  24. 105
  25. 12
  26. 6
  27. 140
  28. 28
  29. 36
  30. 7
  31. 63
  32. 100
  33. 18
  34. 14
  35. 5
  36. 63
  37. 8
  38. 225
  39. 90
  40. 6

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