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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 752 · 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.Find the LCM of 7, 4 and 10.
  2. 2.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  3. 3.Find the LCM of 16 and 20.
  4. 4.Find the LCM of 24 and 30.
  5. 5.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  6. 6.Find the HCF of 15 and 40.
  7. 7.Find the LCM of 2, 7 and 14.
  8. 8.Find the HCF of 20 and 15.
  9. 9.Find the LCM of 8, 15 and 4.
  10. 10.Find the HCF of 12 and 27.
  11. 11.Find the LCM of 9, 6 and 2.
  12. 12.Find the HCF of 28 and 36.
  13. 13.Find the HCF of 72 and 16.
  14. 14.Find the HCF of 12 and 21.
  15. 15.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  16. 16.Find the HCF of 30 and 25.
  17. 17.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  18. 18.Find the HCF of 55 and 99.
  19. 19.Find the HCF of 120 and 105.
  20. 20.Find the LCM of 45 and 20.
  21. 21.Find the LCM of 13, 6 and 9.
  22. 22.Find the LCM of 12, 4 and 5.
  23. 23.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  24. 24.Find the LCM of 36 and 8.
  25. 25.Find the LCM of 12 and 27.
  26. 26.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  27. 27.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  28. 28.Find the HCF of 55 and 77.
  29. 29.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  30. 30.Find the LCM of 3, 10 and 2.
  31. 31.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  32. 32.Find the HCF of 39 and 65.
  33. 33.Find the LCM of 14 and 6.
  34. 34.Find the HCF of 40 and 64.
  35. 35.Find the LCM of 20 and 28.
  36. 36.Find the HCF of 42 and 112.
  37. 37.Find the LCM of 6, 12 and 2.
  38. 38.Find the HCF of 25 and 15.
  39. 39.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  40. 40.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?

Answer key

  1. 140
  2. 56
  3. 80
  4. 120
  5. 72
  6. 5
  7. 14
  8. 5
  9. 120
  10. 3
  11. 18
  12. 4
  13. 8
  14. 3
  15. 49
  16. 5
  17. 49
  18. 11
  19. 15
  20. 180
  21. 234
  22. 60
  23. 25
  24. 72
  25. 108
  26. 30
  27. 18
  28. 11
  29. 18
  30. 30
  31. 32
  32. 13
  33. 42
  34. 8
  35. 140
  36. 14
  37. 12
  38. 5
  39. 24
  40. 18

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