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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 219 · 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 15 and 20.
  2. 2.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  3. 3.Find the LCM of 2, 4 and 5.
  4. 4.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  5. 5.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  6. 6.Find the LCM of 9, 10 and 5.
  7. 7.Find the LCM of 14, 6 and 12.
  8. 8.Find the LCM of 2 and 3.
  9. 9.Find the LCM of 21 and 27.
  10. 10.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  11. 11.Find the HCF of 55 and 66.
  12. 12.Find the LCM of 9 and 5.
  13. 13.Find the LCM of 11, 2 and 6.
  14. 14.Find the LCM of 45 and 10.
  15. 15.Find the LCM of 48 and 30.
  16. 16.Find the LCM of 6, 13 and 2.
  17. 17.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  18. 18.Find the LCM of 6, 9 and 13.
  19. 19.Find the LCM of 18 and 30.
  20. 20.Find the HCF of 12 and 15.
  21. 21.Find the LCM of 42 and 48.
  22. 22.Find the HCF of 80 and 50.
  23. 23.Find the LCM of 8, 2 and 4.
  24. 24.Find the HCF of 18 and 4.
  25. 25.Find the LCM of 7, 2 and 8.
  26. 26.Find the HCF of 24 and 18.
  27. 27.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  28. 28.Find the LCM of 3, 2 and 7.
  29. 29.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  30. 30.Find the HCF of 16 and 36.
  31. 31.Find the LCM of 24 and 30.
  32. 32.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  33. 33.Find the LCM of 9 and 12.
  34. 34.Find the HCF of 25 and 15.
  35. 35.Find the HCF of 30 and 75.
  36. 36.Find the LCM of 18 and 16.
  37. 37.Find the HCF of 30 and 18.
  38. 38.Find the HCF of 24 and 32.
  39. 39.Find the LCM of 12 and 18.
  40. 40.Find the LCM of 5, 4 and 9.

Answer key

  1. 60
  2. 10
  3. 20
  4. 15
  5. 8
  6. 90
  7. 84
  8. 6
  9. 189
  10. 20
  11. 11
  12. 45
  13. 66
  14. 90
  15. 240
  16. 78
  17. 12
  18. 234
  19. 90
  20. 3
  21. 336
  22. 10
  23. 8
  24. 2
  25. 56
  26. 6
  27. 35
  28. 42
  29. 36
  30. 4
  31. 120
  32. 35
  33. 36
  34. 5
  35. 15
  36. 144
  37. 6
  38. 8
  39. 36
  40. 180

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