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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 831 · 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 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  2. 2.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  3. 3.Find the LCM of 8, 14 and 2.
  4. 4.Find the LCM of 2, 3 and 6.
  5. 5.Find the LCM of 15 and 12.
  6. 6.Find the LCM of 12 and 10.
  7. 7.Find the LCM of 12, 2 and 6.
  8. 8.Find the LCM of 12 and 54.
  9. 9.Find the HCF of 50 and 40.
  10. 10.Find the LCM of 6, 3 and 13.
  11. 11.Find the LCM of 3, 9 and 12.
  12. 12.Find the LCM of 14, 12 and 4.
  13. 13.Find the LCM of 4 and 14.
  14. 14.Find the HCF of 8 and 14.
  15. 15.Find the LCM of 4, 10 and 12.
  16. 16.Find the LCM of 8, 4 and 9.
  17. 17.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  18. 18.Find the LCM of 12 and 20.
  19. 19.Find the LCM of 9 and 6.
  20. 20.Find the LCM of 3, 9 and 4.
  21. 21.Find the LCM of 10, 2 and 6.
  22. 22.Find the HCF of 48 and 56.
  23. 23.Find the LCM of 9, 15 and 3.
  24. 24.Find the LCM of 8 and 7.
  25. 25.Find the HCF of 32 and 20.
  26. 26.Find the LCM of 7, 10 and 5.
  27. 27.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  28. 28.Find the HCF of 105 and 30.
  29. 29.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  30. 30.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  31. 31.Find the HCF of 32 and 28.
  32. 32.Find the LCM of 15 and 20.
  33. 33.Find the LCM of 3, 2 and 13.
  34. 34.Find the LCM of 7, 3 and 9.
  35. 35.Find the LCM of 10, 12 and 3.
  36. 36.Find the LCM of 5 and 2.
  37. 37.Find the HCF of 45 and 35.
  38. 38.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  39. 39.Find the LCM of 4 and 18.
  40. 40.Find the LCM of 6, 4 and 15.

Answer key

  1. 72
  2. 15
  3. 56
  4. 6
  5. 60
  6. 60
  7. 12
  8. 108
  9. 10
  10. 78
  11. 36
  12. 84
  13. 28
  14. 2
  15. 60
  16. 72
  17. 8
  18. 60
  19. 18
  20. 36
  21. 30
  22. 8
  23. 45
  24. 56
  25. 4
  26. 70
  27. 14
  28. 15
  29. 42
  30. 28
  31. 4
  32. 60
  33. 78
  34. 63
  35. 60
  36. 10
  37. 5
  38. 21
  39. 36
  40. 60

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