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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 19 · 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.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  2. 2.Find the LCM of 21 and 9.
  3. 3.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  4. 4.Find the HCF of 12 and 54.
  5. 5.Find the HCF of 135 and 75.
  6. 6.Find the HCF of 24 and 108.
  7. 7.Find the HCF of 28 and 8.
  8. 8.Find the LCM of 25 and 20.
  9. 9.Find the LCM of 9, 4 and 12.
  10. 10.Find the HCF of 104 and 91.
  11. 11.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  12. 12.Find the HCF of 120 and 105.
  13. 13.Find the LCM of 24 and 30.
  14. 14.Find the HCF of 15 and 35.
  15. 15.Find the HCF of 30 and 25.
  16. 16.Find the LCM of 5, 12 and 15.
  17. 17.Find the LCM of 5, 6 and 10.
  18. 18.Find the LCM of 8, 2 and 4.
  19. 19.Find the LCM of 30 and 54.
  20. 20.Find the LCM of 15, 14 and 5.
  21. 21.Find the LCM of 27 and 15.
  22. 22.Find the HCF of 10 and 14.
  23. 23.Find the LCM of 20 and 25.
  24. 24.Find the LCM of 9 and 5.
  25. 25.Find the HCF of 32 and 72.
  26. 26.Find the LCM of 4, 3 and 12.
  27. 27.Find the LCM of 6, 14 and 15.
  28. 28.Find the HCF of 96 and 84.
  29. 29.Find the LCM of 2, 7 and 9.
  30. 30.Find the HCF of 30 and 48.
  31. 31.Find the LCM of 2, 8 and 13.
  32. 32.Find the LCM of 6, 13 and 2.
  33. 33.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  34. 34.Find the LCM of 8 and 20.
  35. 35.Find the LCM of 16 and 14.
  36. 36.Find the LCM of 16 and 12.
  37. 37.Find the LCM of 4, 5 and 14.
  38. 38.Find the HCF of 28 and 126.
  39. 39.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  40. 40.Find the LCM of 15 and 40.

Answer key

  1. 8
  2. 63
  3. 28
  4. 6
  5. 15
  6. 12
  7. 4
  8. 100
  9. 36
  10. 13
  11. 9
  12. 15
  13. 120
  14. 5
  15. 5
  16. 60
  17. 30
  18. 8
  19. 270
  20. 210
  21. 135
  22. 2
  23. 100
  24. 45
  25. 8
  26. 12
  27. 210
  28. 12
  29. 126
  30. 6
  31. 104
  32. 78
  33. 42
  34. 40
  35. 112
  36. 48
  37. 140
  38. 14
  39. 9
  40. 120

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