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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 192 · 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 9, 8 and 4.
  2. 2.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  3. 3.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  4. 4.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  5. 5.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  6. 6.Find the HCF of 4 and 10.
  7. 7.Find the LCM of 54 and 42.
  8. 8.Find the LCM of 4, 9 and 10.
  9. 9.Find the LCM of 3, 15 and 13.
  10. 10.Find the HCF of 18 and 45.
  11. 11.Find the HCF of 27 and 6.
  12. 12.Find the HCF of 30 and 48.
  13. 13.Find the LCM of 4, 12 and 13.
  14. 14.Find the LCM of 2, 15 and 4.
  15. 15.Find the LCM of 7 and 4.
  16. 16.Find the LCM of 42 and 12.
  17. 17.Find the LCM of 25 and 35.
  18. 18.Find the LCM of 13, 5 and 15.
  19. 19.Find the HCF of 21 and 35.
  20. 20.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  21. 21.Find the HCF of 48 and 36.
  22. 22.Find the LCM of 20 and 28.
  23. 23.Find the HCF of 22 and 77.
  24. 24.Find the LCM of 25 and 40.
  25. 25.Find the LCM of 10 and 8.
  26. 26.Find the LCM of 12, 4 and 9.
  27. 27.Find the LCM of 15, 5 and 6.
  28. 28.Find the HCF of 40 and 35.
  29. 29.Find the LCM of 6 and 4.
  30. 30.Find the LCM of 10, 2 and 11.
  31. 31.Find the HCF of 15 and 6.
  32. 32.Find the HCF of 21 and 18.
  33. 33.Find the LCM of 36 and 42.
  34. 34.Find the LCM of 7 and 2.
  35. 35.Find the LCM of 12, 6 and 14.
  36. 36.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  37. 37.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  38. 38.Find the HCF of 30 and 36.
  39. 39.Find the HCF of 10 and 16.
  40. 40.Find the LCM of 13, 2 and 3.

Answer key

  1. 72
  2. 10
  3. 10
  4. 42
  5. 20
  6. 2
  7. 378
  8. 180
  9. 195
  10. 9
  11. 3
  12. 6
  13. 156
  14. 60
  15. 28
  16. 84
  17. 175
  18. 195
  19. 7
  20. 18
  21. 12
  22. 140
  23. 11
  24. 200
  25. 40
  26. 36
  27. 30
  28. 5
  29. 12
  30. 110
  31. 3
  32. 3
  33. 252
  34. 14
  35. 84
  36. 18
  37. 35
  38. 6
  39. 2
  40. 78

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