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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 836 · 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 42 and 18.
  2. 2.Find the HCF of 39 and 91.
  3. 3.Find the LCM of 4 and 7.
  4. 4.Find the HCF of 60 and 24.
  5. 5.Find the LCM of 18 and 14.
  6. 6.Find the HCF of 75 and 90.
  7. 7.Find the LCM of 10, 2 and 6.
  8. 8.Find the HCF of 56 and 24.
  9. 9.Find the LCM of 18 and 21.
  10. 10.Find the LCM of 6 and 21.
  11. 11.Find the LCM of 7, 8 and 14.
  12. 12.Find the HCF of 75 and 135.
  13. 13.Find the HCF of 21 and 27.
  14. 14.Find the LCM of 3, 6 and 14.
  15. 15.Find the LCM of 14, 4 and 10.
  16. 16.Find the LCM of 11, 5 and 10.
  17. 17.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  18. 18.Find the LCM of 8, 4 and 14.
  19. 19.Find the LCM of 9, 8 and 4.
  20. 20.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  21. 21.Find the LCM of 5, 9 and 10.
  22. 22.Find the LCM of 18 and 15.
  23. 23.Find the LCM of 9 and 21.
  24. 24.Find the LCM of 2, 14 and 15.
  25. 25.Find the LCM of 6, 4 and 7.
  26. 26.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  27. 27.Find the HCF of 10 and 4.
  28. 28.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  29. 29.Find the HCF of 42 and 48.
  30. 30.Find the LCM of 5, 6 and 2.
  31. 31.Find the LCM of 2, 7 and 5.
  32. 32.Find the LCM of 2 and 3.
  33. 33.Find the HCF of 26 and 65.
  34. 34.Find the HCF of 66 and 77.
  35. 35.Find the LCM of 4, 9 and 8.
  36. 36.Find the LCM of 3, 6 and 8.
  37. 37.Find the LCM of 6, 14 and 8.
  38. 38.Find the LCM of 42 and 48.
  39. 39.Find the LCM of 3, 10 and 14.
  40. 40.Find the HCF of 25 and 30.

Answer key

  1. 126
  2. 13
  3. 28
  4. 12
  5. 126
  6. 15
  7. 30
  8. 8
  9. 126
  10. 42
  11. 56
  12. 15
  13. 3
  14. 42
  15. 140
  16. 110
  17. 72
  18. 56
  19. 72
  20. 9
  21. 90
  22. 90
  23. 63
  24. 210
  25. 84
  26. 4
  27. 2
  28. 18
  29. 6
  30. 30
  31. 70
  32. 6
  33. 13
  34. 11
  35. 72
  36. 24
  37. 168
  38. 336
  39. 210
  40. 5

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