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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 567 · 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 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  2. 2.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  3. 3.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  4. 4.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  5. 5.Find the HCF of 15 and 25.
  6. 6.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  7. 7.Find the LCM of 6 and 16.
  8. 8.Find the LCM of 4, 14 and 5.
  9. 9.Find the HCF of 50 and 60.
  10. 10.Find the HCF of 18 and 8.
  11. 11.Find the LCM of 3, 14 and 7.
  12. 12.Find the LCM of 25 and 45.
  13. 13.Find the HCF of 45 and 75.
  14. 14.Find the HCF of 135 and 120.
  15. 15.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  16. 16.Find the LCM of 5, 2 and 14.
  17. 17.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  18. 18.Find the LCM of 4 and 3.
  19. 19.Find the HCF of 126 and 28.
  20. 20.Find the LCM of 30 and 24.
  21. 21.Find the LCM of 14 and 12.
  22. 22.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  23. 23.Find the HCF of 21 and 6.
  24. 24.Find the HCF of 14 and 6.
  25. 25.Find the LCM of 7, 14 and 9.
  26. 26.Find the LCM of 4, 12 and 8.
  27. 27.Find the HCF of 24 and 21.
  28. 28.Find the HCF of 27 and 21.
  29. 29.Find the LCM of 45 and 10.
  30. 30.Find the LCM of 14 and 6.
  31. 31.Find the LCM of 4, 14 and 7.
  32. 32.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  33. 33.Find the LCM of 4, 2 and 8.
  34. 34.Find the LCM of 12, 6 and 8.
  35. 35.Find the LCM of 6, 12 and 7.
  36. 36.Find the LCM of 14, 2 and 13.
  37. 37.Find the LCM of 4, 5 and 15.
  38. 38.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  39. 39.Find the LCM of 27 and 6.
  40. 40.Find the LCM of 6, 9 and 2.

Answer key

  1. 35
  2. 45
  3. 63
  4. 25
  5. 5
  6. 15
  7. 48
  8. 140
  9. 10
  10. 2
  11. 42
  12. 225
  13. 15
  14. 15
  15. 20
  16. 70
  17. 72
  18. 12
  19. 14
  20. 120
  21. 84
  22. 6
  23. 3
  24. 2
  25. 126
  26. 24
  27. 3
  28. 3
  29. 90
  30. 42
  31. 28
  32. 24
  33. 8
  34. 24
  35. 84
  36. 182
  37. 60
  38. 12
  39. 54
  40. 18

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