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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 655 · 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 12, 2 and 4.
  2. 2.Find the LCM of 3 and 7.
  3. 3.Find the LCM of 3, 5 and 8.
  4. 4.Find the LCM of 12 and 27.
  5. 5.Find the LCM of 7 and 8.
  6. 6.Find the LCM of 7, 5 and 2.
  7. 7.Find the HCF of 96 and 36.
  8. 8.Find the HCF of 27 and 36.
  9. 9.Find the LCM of 12, 11 and 4.
  10. 10.Find the HCF of 75 and 90.
  11. 11.Find the LCM of 24 and 27.
  12. 12.Find the LCM of 20 and 24.
  13. 13.Find the LCM of 8 and 5.
  14. 14.Find the LCM of 14 and 8.
  15. 15.Find the LCM of 3, 8 and 10.
  16. 16.Find the HCF of 54 and 12.
  17. 17.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 36. What is the other number?
  18. 18.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  19. 19.Find the HCF of 98 and 28.
  20. 20.Find the LCM of 4, 13 and 6.
  21. 21.Find the LCM of 32 and 36.
  22. 22.Find the LCM of 5, 7 and 4.
  23. 23.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  24. 24.Find the LCM of 12, 4 and 2.
  25. 25.Find the LCM of 14, 10 and 6.
  26. 26.Find the HCF of 90 and 75.
  27. 27.Find the HCF of 10 and 6.
  28. 28.Find the LCM of 14, 2 and 5.
  29. 29.Find the LCM of 11, 12 and 3.
  30. 30.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  31. 31.Find the LCM of 10, 14 and 3.
  32. 32.Find the LCM of 35 and 45.
  33. 33.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  34. 34.Find the LCM of 7 and 4.
  35. 35.Find the HCF of 4 and 6.
  36. 36.Find the HCF of 24 and 108.
  37. 37.Find the HCF of 14 and 12.
  38. 38.Find the LCM of 6, 14 and 8.
  39. 39.Find the LCM of 4 and 6.
  40. 40.Find the HCF of 65 and 26.

Answer key

  1. 12
  2. 21
  3. 120
  4. 108
  5. 56
  6. 70
  7. 12
  8. 9
  9. 132
  10. 15
  11. 216
  12. 120
  13. 40
  14. 56
  15. 120
  16. 6
  17. 42
  18. 10
  19. 14
  20. 156
  21. 288
  22. 140
  23. 56
  24. 12
  25. 210
  26. 15
  27. 2
  28. 70
  29. 132
  30. 12
  31. 210
  32. 315
  33. 20
  34. 28
  35. 2
  36. 12
  37. 2
  38. 168
  39. 12
  40. 13

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