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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 359 · 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, 10 and 9.
  2. 2.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  3. 3.Find the HCF of 20 and 30.
  4. 4.Find the HCF of 54 and 45.
  5. 5.Find the LCM of 10, 12 and 2.
  6. 6.Find the LCM of 10 and 8.
  7. 7.Find the HCF of 36 and 81.
  8. 8.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  9. 9.Find the HCF of 25 and 30.
  10. 10.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  11. 11.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  12. 12.Find the HCF of 4 and 6.
  13. 13.Find the LCM of 24 and 54.
  14. 14.Find the LCM of 32 and 36.
  15. 15.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  16. 16.Find the LCM of 2, 14 and 12.
  17. 17.Find the HCF of 10 and 18.
  18. 18.Find the HCF of 84 and 108.
  19. 19.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  20. 20.Find the LCM of 11, 4 and 2.
  21. 21.Find the LCM of 12 and 15.
  22. 22.Find the HCF of 28 and 16.
  23. 23.Find the HCF of 20 and 90.
  24. 24.Find the LCM of 12, 3 and 13.
  25. 25.Find the HCF of 28 and 98.
  26. 26.Find the LCM of 8, 14 and 2.
  27. 27.Find the HCF of 10 and 14.
  28. 28.Find the HCF of 48 and 108.
  29. 29.Find the LCM of 3, 14 and 7.
  30. 30.Find the LCM of 5, 13 and 3.
  31. 31.Find the HCF of 6 and 4.
  32. 32.Find the LCM of 2, 4 and 3.
  33. 33.Find the LCM of 5, 8 and 12.
  34. 34.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  35. 35.Find the HCF of 105 and 45.
  36. 36.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  37. 37.Find the HCF of 8 and 20.
  38. 38.Find the LCM of 10, 8 and 2.
  39. 39.Find the HCF of 32 and 72.
  40. 40.Find the LCM of 8 and 7.

Answer key

  1. 180
  2. 30
  3. 10
  4. 9
  5. 60
  6. 40
  7. 9
  8. 18
  9. 5
  10. 14
  11. 6
  12. 2
  13. 216
  14. 288
  15. 10
  16. 84
  17. 2
  18. 12
  19. 10
  20. 44
  21. 60
  22. 4
  23. 10
  24. 156
  25. 14
  26. 56
  27. 2
  28. 12
  29. 42
  30. 195
  31. 2
  32. 12
  33. 120
  34. 12
  35. 15
  36. 12
  37. 4
  38. 40
  39. 8
  40. 56

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