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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 415 · 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 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  2. 2.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  3. 3.Find the LCM of 9, 12 and 8.
  4. 4.Find the LCM of 2, 9 and 8.
  5. 5.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  6. 6.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  7. 7.Find the LCM of 2, 5 and 3.
  8. 8.Find the LCM of 42 and 48.
  9. 9.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  10. 10.Find the HCF of 63 and 81.
  11. 11.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  12. 12.Find the HCF of 54 and 42.
  13. 13.Find the HCF of 81 and 36.
  14. 14.Find the LCM of 2, 4 and 8.
  15. 15.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  16. 16.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  17. 17.Find the LCM of 8, 10 and 3.
  18. 18.Find the LCM of 9, 14 and 3.
  19. 19.Find the HCF of 10 and 14.
  20. 20.Find the LCM of 10, 5 and 7.
  21. 21.Find the LCM of 5 and 3.
  22. 22.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  23. 23.Find the HCF of 91 and 26.
  24. 24.Find the HCF of 70 and 90.
  25. 25.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  26. 26.Find the LCM of 25 and 10.
  27. 27.Find the LCM of 18 and 24.
  28. 28.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  29. 29.Find the LCM of 16 and 36.
  30. 30.Find the LCM of 4 and 18.
  31. 31.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  32. 32.Find the HCF of 75 and 30.
  33. 33.Find the LCM of 4, 14 and 3.
  34. 34.Find the HCF of 25 and 15.
  35. 35.Find the LCM of 42 and 12.
  36. 36.Find the LCM of 6 and 9.
  37. 37.Find the LCM of 14, 12 and 3.
  38. 38.Find the LCM of 3 and 4.
  39. 39.Find the LCM of 4, 8 and 6.
  40. 40.Find the HCF of 12 and 30.

Answer key

  1. 27
  2. 14
  3. 72
  4. 72
  5. 15
  6. 30
  7. 30
  8. 336
  9. 45
  10. 9
  11. 48
  12. 6
  13. 9
  14. 8
  15. 32
  16. 63
  17. 120
  18. 126
  19. 2
  20. 70
  21. 15
  22. 36
  23. 13
  24. 10
  25. 63
  26. 50
  27. 72
  28. 72
  29. 144
  30. 36
  31. 49
  32. 15
  33. 84
  34. 5
  35. 84
  36. 18
  37. 84
  38. 12
  39. 24
  40. 6

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