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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 897 · 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 12 and 28.
  2. 2.Find the LCM of 2, 3 and 14.
  3. 3.Find the LCM of 15 and 25.
  4. 4.Find the LCM of 30 and 36.
  5. 5.Find the HCF of 96 and 36.
  6. 6.Find the LCM of 10, 15 and 5.
  7. 7.Find the HCF of 20 and 90.
  8. 8.Find the LCM of 4, 6 and 5.
  9. 9.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  10. 10.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  11. 11.Find the HCF of 40 and 30.
  12. 12.Find the HCF of 25 and 30.
  13. 13.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  14. 14.Find the HCF of 39 and 91.
  15. 15.Find the LCM of 3, 10 and 15.
  16. 16.Find the HCF of 32 and 40.
  17. 17.Find the LCM of 35 and 40.
  18. 18.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  19. 19.Find the LCM of 18 and 42.
  20. 20.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  21. 21.Find the LCM of 2, 11 and 6.
  22. 22.Find the LCM of 14, 4 and 3.
  23. 23.Find the LCM of 9, 5 and 2.
  24. 24.Find the LCM of 3, 8 and 2.
  25. 25.Find the HCF of 18 and 27.
  26. 26.Find the LCM of 4 and 9.
  27. 27.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  28. 28.Find the LCM of 8, 6 and 10.
  29. 29.Find the HCF of 40 and 45.
  30. 30.Find the LCM of 20 and 24.
  31. 31.Find the LCM of 6, 4 and 9.
  32. 32.Find the LCM of 3, 2 and 13.
  33. 33.Find the LCM of 2, 8 and 4.
  34. 34.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  35. 35.Find the LCM of 7 and 6.
  36. 36.Find the HCF of 20 and 25.
  37. 37.Find the HCF of 60 and 108.
  38. 38.Find the LCM of 8, 4 and 10.
  39. 39.Find the LCM of 14, 2 and 3.
  40. 40.Find the LCM of 5 and 2.

Answer key

  1. 84
  2. 42
  3. 75
  4. 180
  5. 12
  6. 30
  7. 10
  8. 60
  9. 30
  10. 28
  11. 10
  12. 5
  13. 45
  14. 13
  15. 30
  16. 8
  17. 280
  18. 56
  19. 126
  20. 6
  21. 66
  22. 84
  23. 90
  24. 24
  25. 9
  26. 36
  27. 27
  28. 120
  29. 5
  30. 120
  31. 36
  32. 78
  33. 8
  34. 6
  35. 42
  36. 5
  37. 12
  38. 40
  39. 42
  40. 10

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