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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 906 · 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 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  2. 2.Find the LCM of 12 and 32.
  3. 3.Find the LCM of 48 and 18.
  4. 4.Find the HCF of 75 and 60.
  5. 5.Find the HCF of 60 and 70.
  6. 6.Find the HCF of 18 and 12.
  7. 7.Find the LCM of 54 and 48.
  8. 8.Find the HCF of 24 and 15.
  9. 9.Find the HCF of 42 and 36.
  10. 10.Find the HCF of 24 and 64.
  11. 11.Find the LCM of 12 and 30.
  12. 12.Find the LCM of 8, 6 and 14.
  13. 13.Find the LCM of 12, 11 and 4.
  14. 14.Find the LCM of 14, 3 and 5.
  15. 15.Find the LCM of 12 and 16.
  16. 16.Find the HCF of 25 and 35.
  17. 17.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  18. 18.Find the HCF of 39 and 26.
  19. 19.Find the LCM of 35 and 40.
  20. 20.Find the LCM of 48 and 42.
  21. 21.Find the LCM of 6 and 27.
  22. 22.Find the LCM of 6 and 9.
  23. 23.Find the LCM of 9 and 7.
  24. 24.Find the LCM of 12 and 14.
  25. 25.Find the HCF of 18 and 15.
  26. 26.Find the LCM of 4, 2 and 7.
  27. 27.Find the LCM of 4, 7 and 3.
  28. 28.Find the LCM of 5, 14 and 15.
  29. 29.Find the HCF of 24 and 36.
  30. 30.Find the LCM of 10, 14 and 3.
  31. 31.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  32. 32.Find the LCM of 13, 3 and 4.
  33. 33.Find the LCM of 20 and 28.
  34. 34.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  35. 35.Find the LCM of 10 and 45.
  36. 36.Find the LCM of 9 and 24.
  37. 37.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  38. 38.Find the LCM of 10, 5 and 7.
  39. 39.Find the LCM of 7, 6 and 10.
  40. 40.Find the HCF of 32 and 20.

Answer key

  1. 30
  2. 96
  3. 144
  4. 15
  5. 10
  6. 6
  7. 432
  8. 3
  9. 6
  10. 8
  11. 60
  12. 168
  13. 132
  14. 210
  15. 48
  16. 5
  17. 4
  18. 13
  19. 280
  20. 336
  21. 54
  22. 18
  23. 63
  24. 84
  25. 3
  26. 28
  27. 84
  28. 210
  29. 12
  30. 210
  31. 18
  32. 156
  33. 140
  34. 35
  35. 90
  36. 72
  37. 27
  38. 70
  39. 210
  40. 4

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