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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 880 · 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 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  2. 2.Find the LCM of 18 and 4.
  3. 3.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  4. 4.Find the LCM of 12, 6 and 2.
  5. 5.Find the HCF of 10 and 8.
  6. 6.Find the LCM of 5, 3 and 7.
  7. 7.Find the HCF of 25 and 10.
  8. 8.Find the LCM of 3, 12 and 7.
  9. 9.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  10. 10.Find the LCM of 27 and 6.
  11. 11.Find the LCM of 8, 3 and 10.
  12. 12.Find the HCF of 35 and 40.
  13. 13.Find the LCM of 40 and 35.
  14. 14.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  15. 15.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  16. 16.Find the LCM of 12, 14 and 3.
  17. 17.Find the LCM of 48 and 42.
  18. 18.Find the LCM of 16 and 14.
  19. 19.Find the HCF of 54 and 30.
  20. 20.Find the LCM of 12 and 54.
  21. 21.Find the LCM of 5, 6 and 8.
  22. 22.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  23. 23.Find the LCM of 4, 8 and 11.
  24. 24.Find the LCM of 15 and 20.
  25. 25.Find the HCF of 126 and 56.
  26. 26.Find the LCM of 2 and 3.
  27. 27.Find the HCF of 117 and 26.
  28. 28.Find the LCM of 42 and 12.
  29. 29.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  30. 30.Find the LCM of 28 and 16.
  31. 31.Find the HCF of 25 and 45.
  32. 32.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  33. 33.Find the LCM of 24 and 18.
  34. 34.Find the HCF of 6 and 10.
  35. 35.Find the LCM of 15, 4 and 8.
  36. 36.Find the HCF of 24 and 32.
  37. 37.Find the LCM of 40 and 15.
  38. 38.Find the LCM of 2, 7 and 11.
  39. 39.Find the LCM of 18 and 12.
  40. 40.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?

Answer key

  1. 14
  2. 36
  3. 16
  4. 12
  5. 2
  6. 105
  7. 5
  8. 84
  9. 15
  10. 54
  11. 120
  12. 5
  13. 280
  14. 35
  15. 10
  16. 84
  17. 336
  18. 112
  19. 6
  20. 108
  21. 120
  22. 56
  23. 88
  24. 60
  25. 14
  26. 6
  27. 13
  28. 84
  29. 18
  30. 112
  31. 5
  32. 25
  33. 72
  34. 2
  35. 120
  36. 8
  37. 120
  38. 154
  39. 36
  40. 28

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