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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 821 · 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 4, 3 and 14.
  2. 2.Find the LCM of 5, 4 and 15.
  3. 3.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  4. 4.Find the HCF of 120 and 45.
  5. 5.Find the HCF of 12 and 14.
  6. 6.Find the LCM of 14, 5 and 7.
  7. 7.Find the LCM of 8 and 3.
  8. 8.Find the HCF of 104 and 91.
  9. 9.Find the HCF of 49 and 28.
  10. 10.Find the LCM of 14, 6 and 3.
  11. 11.Find the LCM of 8 and 9.
  12. 12.Find the HCF of 16 and 10.
  13. 13.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  14. 14.Find the LCM of 10 and 45.
  15. 15.Find the HCF of 65 and 52.
  16. 16.Find the HCF of 56 and 49.
  17. 17.Find the LCM of 15 and 40.
  18. 18.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  19. 19.Find the LCM of 8, 4 and 2.
  20. 20.Find the LCM of 7 and 8.
  21. 21.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  22. 22.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  23. 23.Find the LCM of 18 and 42.
  24. 24.Find the HCF of 81 and 63.
  25. 25.Find the LCM of 12 and 10.
  26. 26.Find the HCF of 40 and 24.
  27. 27.Find the LCM of 7, 3 and 11.
  28. 28.Find the LCM of 7, 3 and 12.
  29. 29.Find the LCM of 48 and 18.
  30. 30.Find the LCM of 7, 2 and 3.
  31. 31.Find the LCM of 3 and 7.
  32. 32.Find the HCF of 18 and 4.
  33. 33.Find the HCF of 12 and 20.
  34. 34.Find the LCM of 36 and 8.
  35. 35.Find the HCF of 117 and 104.
  36. 36.Find the LCM of 9, 3 and 4.
  37. 37.Find the HCF of 45 and 105.
  38. 38.Find the LCM of 21 and 18.
  39. 39.Find the LCM of 9 and 15.
  40. 40.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?

Answer key

  1. 84
  2. 60
  3. 24
  4. 15
  5. 2
  6. 70
  7. 24
  8. 13
  9. 7
  10. 42
  11. 72
  12. 2
  13. 14
  14. 90
  15. 13
  16. 7
  17. 120
  18. 18
  19. 8
  20. 56
  21. 25
  22. 24
  23. 126
  24. 9
  25. 60
  26. 8
  27. 231
  28. 84
  29. 144
  30. 42
  31. 21
  32. 2
  33. 4
  34. 72
  35. 13
  36. 36
  37. 15
  38. 126
  39. 45
  40. 24

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