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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 995 · 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, 15 and 8.
  2. 2.Find the HCF of 30 and 25.
  3. 3.Find the HCF of 72 and 16.
  4. 4.Find the HCF of 6 and 9.
  5. 5.Find the LCM of 12 and 8.
  6. 6.Find the HCF of 117 and 104.
  7. 7.Find the HCF of 108 and 96.
  8. 8.Find the HCF of 60 and 72.
  9. 9.Find the LCM of 8 and 14.
  10. 10.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  11. 11.Find the LCM of 12 and 18.
  12. 12.Find the LCM of 2, 3 and 5.
  13. 13.Find the HCF of 84 and 48.
  14. 14.Find the HCF of 50 and 80.
  15. 15.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  16. 16.Find the LCM of 9, 8 and 3.
  17. 17.Find the HCF of 96 and 60.
  18. 18.Find the LCM of 45 and 25.
  19. 19.Find the LCM of 8 and 10.
  20. 20.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  21. 21.Find the HCF of 42 and 48.
  22. 22.Find the LCM of 21 and 12.
  23. 23.Find the LCM of 5, 4 and 11.
  24. 24.Find the LCM of 30 and 12.
  25. 25.Find the LCM of 14, 6 and 15.
  26. 26.Find the LCM of 16 and 10.
  27. 27.Find the LCM of 42 and 30.
  28. 28.Find the LCM of 9, 14 and 2.
  29. 29.Find the HCF of 9 and 6.
  30. 30.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  31. 31.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  32. 32.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  33. 33.Find the LCM of 3 and 2.
  34. 34.Find the LCM of 9 and 7.
  35. 35.Find the LCM of 9, 3 and 2.
  36. 36.Find the LCM of 12, 3 and 2.
  37. 37.Find the LCM of 14 and 16.
  38. 38.Find the LCM of 11, 5 and 3.
  39. 39.Find the LCM of 12, 4 and 14.
  40. 40.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?

Answer key

  1. 120
  2. 5
  3. 8
  4. 3
  5. 24
  6. 13
  7. 12
  8. 12
  9. 56
  10. 18
  11. 36
  12. 30
  13. 12
  14. 10
  15. 40
  16. 72
  17. 12
  18. 225
  19. 40
  20. 36
  21. 6
  22. 84
  23. 220
  24. 60
  25. 210
  26. 80
  27. 210
  28. 126
  29. 3
  30. 28
  31. 36
  32. 28
  33. 6
  34. 63
  35. 18
  36. 12
  37. 112
  38. 165
  39. 84
  40. 16

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