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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 952 · 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 54 and 30.
  2. 2.Find the LCM of 3, 14 and 4.
  3. 3.Find the LCM of 8, 13 and 2.
  4. 4.Find the HCF of 104 and 117.
  5. 5.Find the HCF of 70 and 40.
  6. 6.Find the HCF of 15 and 10.
  7. 7.Find the LCM of 3, 7 and 4.
  8. 8.Find the HCF of 32 and 56.
  9. 9.Find the LCM of 28 and 16.
  10. 10.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  11. 11.Find the HCF of 30 and 12.
  12. 12.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  13. 13.Find the HCF of 16 and 56.
  14. 14.Find the LCM of 45 and 35.
  15. 15.Find the HCF of 120 and 45.
  16. 16.Find the LCM of 5, 10 and 11.
  17. 17.Find the LCM of 12, 14 and 6.
  18. 18.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  19. 19.Find the LCM of 10, 7 and 4.
  20. 20.Find the HCF of 42 and 36.
  21. 21.Find the HCF of 27 and 6.
  22. 22.Find the LCM of 7, 2 and 11.
  23. 23.Find the LCM of 2, 15 and 3.
  24. 24.Find the LCM of 5, 12 and 9.
  25. 25.Find the LCM of 11, 12 and 2.
  26. 26.Find the HCF of 6 and 4.
  27. 27.Find the LCM of 6, 3 and 7.
  28. 28.Find the LCM of 30 and 24.
  29. 29.Find the LCM of 15, 6 and 4.
  30. 30.Find the LCM of 6, 11 and 2.
  31. 31.Find the LCM of 21 and 27.
  32. 32.Find the HCF of 56 and 24.
  33. 33.Find the HCF of 40 and 50.
  34. 34.Find the LCM of 6, 5 and 10.
  35. 35.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  36. 36.Find the HCF of 18 and 14.
  37. 37.Find the HCF of 26 and 91.
  38. 38.Find the LCM of 12 and 20.
  39. 39.Find the LCM of 6, 5 and 4.
  40. 40.Find the LCM of 11, 15 and 3.

Answer key

  1. 270
  2. 84
  3. 104
  4. 13
  5. 10
  6. 5
  7. 84
  8. 8
  9. 112
  10. 20
  11. 6
  12. 35
  13. 8
  14. 315
  15. 15
  16. 110
  17. 84
  18. 18
  19. 140
  20. 6
  21. 3
  22. 154
  23. 30
  24. 180
  25. 132
  26. 2
  27. 42
  28. 120
  29. 60
  30. 66
  31. 189
  32. 8
  33. 10
  34. 30
  35. 10
  36. 2
  37. 13
  38. 60
  39. 60
  40. 165

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