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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 999 · 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 HCF of 18 and 48.
  2. 2.Find the LCM of 4, 5 and 10.
  3. 3.Find the LCM of 12 and 15.
  4. 4.Find the LCM of 5, 6 and 10.
  5. 5.Find the LCM of 5, 7 and 4.
  6. 6.Find the LCM of 2, 12 and 6.
  7. 7.Find the LCM of 5, 2 and 8.
  8. 8.Find the LCM of 24 and 28.
  9. 9.Find the LCM of 10, 15 and 7.
  10. 10.Find the HCF of 6 and 14.
  11. 11.Find the LCM of 15, 10 and 3.
  12. 12.Find the LCM of 4, 12 and 6.
  13. 13.Find the LCM of 4 and 3.
  14. 14.Find the LCM of 20 and 12.
  15. 15.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  16. 16.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  17. 17.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  18. 18.Find the LCM of 42 and 12.
  19. 19.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  20. 20.Find the LCM of 3, 2 and 14.
  21. 21.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  22. 22.Find the LCM of 4 and 5.
  23. 23.Find the LCM of 2 and 9.
  24. 24.Find the LCM of 30 and 25.
  25. 25.Find the LCM of 2, 11 and 10.
  26. 26.Find the LCM of 10, 8 and 4.
  27. 27.Find the LCM of 30 and 35.
  28. 28.Find the LCM of 10, 11 and 4.
  29. 29.Find the LCM of 3, 4 and 11.
  30. 30.Find the HCF of 60 and 84.
  31. 31.Find the HCF of 60 and 105.
  32. 32.Find the LCM of 54 and 12.
  33. 33.Find the HCF of 75 and 60.
  34. 34.Find the LCM of 4, 5 and 15.
  35. 35.Find the LCM of 4, 8 and 6.
  36. 36.Find the LCM of 2, 5 and 7.
  37. 37.Find the LCM of 6 and 15.
  38. 38.Find the HCF of 18 and 24.
  39. 39.Find the LCM of 9, 13 and 2.
  40. 40.Find the LCM of 10 and 18.

Answer key

  1. 6
  2. 20
  3. 60
  4. 30
  5. 140
  6. 12
  7. 40
  8. 168
  9. 210
  10. 2
  11. 30
  12. 12
  13. 12
  14. 60
  15. 14
  16. 54
  17. 27
  18. 84
  19. 81
  20. 42
  21. 64
  22. 20
  23. 18
  24. 150
  25. 110
  26. 40
  27. 210
  28. 220
  29. 132
  30. 12
  31. 15
  32. 108
  33. 15
  34. 60
  35. 24
  36. 70
  37. 30
  38. 6
  39. 234
  40. 90

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