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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 800 · 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 14 and 63.
  2. 2.Find the LCM of 2, 3 and 15.
  3. 3.Find the LCM of 20 and 35.
  4. 4.Find the HCF of 84 and 36.
  5. 5.Find the HCF of 26 and 39.
  6. 6.Find the LCM of 14 and 12.
  7. 7.Find the LCM of 2, 10 and 3.
  8. 8.Find the LCM of 27 and 24.
  9. 9.Find the HCF of 39 and 52.
  10. 10.Find the LCM of 4 and 14.
  11. 11.Find the HCF of 27 and 72.
  12. 12.Find the LCM of 15 and 10.
  13. 13.Find the LCM of 6 and 15.
  14. 14.Find the LCM of 48 and 30.
  15. 15.Find the HCF of 56 and 40.
  16. 16.Find the LCM of 2, 5 and 10.
  17. 17.Find the LCM of 25 and 15.
  18. 18.Find the LCM of 4, 5 and 12.
  19. 19.Find the LCM of 3, 4 and 5.
  20. 20.Find the HCF of 28 and 42.
  21. 21.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  22. 22.Find the LCM of 7, 15 and 2.
  23. 23.Find the LCM of 10 and 6.
  24. 24.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  25. 25.Find the HCF of 28 and 12.
  26. 26.Find the HCF of 91 and 78.
  27. 27.Find the LCM of 4 and 10.
  28. 28.Find the LCM of 7, 2 and 5.
  29. 29.Find the LCM of 7 and 3.
  30. 30.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  31. 31.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  32. 32.Find the LCM of 3, 6 and 14.
  33. 33.Find the LCM of 8, 4 and 10.
  34. 34.Find the LCM of 14, 5 and 4.
  35. 35.Find the HCF of 75 and 60.
  36. 36.Find the LCM of 2, 12 and 3.
  37. 37.Find the LCM of 6, 3 and 4.
  38. 38.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  39. 39.Find the LCM of 15 and 20.
  40. 40.Find the LCM of 20 and 15.

Answer key

  1. 7
  2. 30
  3. 140
  4. 12
  5. 13
  6. 84
  7. 30
  8. 216
  9. 13
  10. 28
  11. 9
  12. 30
  13. 30
  14. 240
  15. 8
  16. 10
  17. 75
  18. 60
  19. 60
  20. 14
  21. 28
  22. 210
  23. 30
  24. 10
  25. 4
  26. 13
  27. 20
  28. 70
  29. 21
  30. 20
  31. 21
  32. 42
  33. 40
  34. 140
  35. 15
  36. 12
  37. 12
  38. 21
  39. 60
  40. 60

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