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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 938 · 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 24 and 56.
  2. 2.Find the HCF of 30 and 20.
  3. 3.Find the LCM of 30 and 18.
  4. 4.Find the HCF of 14 and 35.
  5. 5.Find the LCM of 12 and 28.
  6. 6.Find the LCM of 7, 14 and 5.
  7. 7.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  8. 8.Find the LCM of 16 and 12.
  9. 9.Find the LCM of 5, 10 and 8.
  10. 10.Find the LCM of 9, 10 and 12.
  11. 11.Find the LCM of 2, 8 and 7.
  12. 12.Find the LCM of 24 and 28.
  13. 13.Find the HCF of 33 and 88.
  14. 14.Find the LCM of 12 and 16.
  15. 15.Find the HCF of 16 and 20.
  16. 16.Find the LCM of 6 and 10.
  17. 17.Find the LCM of 12, 9 and 4.
  18. 18.Find the LCM of 15, 5 and 11.
  19. 19.Find the HCF of 15 and 35.
  20. 20.Find the HCF of 9 and 12.
  21. 21.Find the LCM of 4 and 7.
  22. 22.Find the LCM of 40 and 25.
  23. 23.Find the HCF of 98 and 56.
  24. 24.Find the LCM of 12 and 32.
  25. 25.Find the HCF of 84 and 98.
  26. 26.Find the LCM of 3, 15 and 6.
  27. 27.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  28. 28.Find the LCM of 12 and 27.
  29. 29.Find the LCM of 8 and 9.
  30. 30.Find the LCM of 6 and 21.
  31. 31.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  32. 32.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  33. 33.Find the LCM of 10, 4 and 11.
  34. 34.Find the LCM of 36 and 30.
  35. 35.Find the LCM of 8, 4 and 2.
  36. 36.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  37. 37.Find the LCM of 12, 6 and 5.
  38. 38.Find the LCM of 11, 2 and 14.
  39. 39.Find the LCM of 10 and 35.
  40. 40.Find the LCM of 8, 4 and 3.

Answer key

  1. 8
  2. 10
  3. 90
  4. 7
  5. 84
  6. 70
  7. 21
  8. 48
  9. 40
  10. 180
  11. 56
  12. 168
  13. 11
  14. 48
  15. 4
  16. 30
  17. 36
  18. 165
  19. 5
  20. 3
  21. 28
  22. 200
  23. 14
  24. 96
  25. 14
  26. 30
  27. 18
  28. 108
  29. 72
  30. 42
  31. 15
  32. 24
  33. 220
  34. 180
  35. 8
  36. 49
  37. 60
  38. 154
  39. 70
  40. 24

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