← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 32 · 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 8 and 3.
  2. 2.Find the HCF of 10 and 45.
  3. 3.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  4. 4.Find the HCF of 36 and 42.
  5. 5.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  6. 6.Find the HCF of 12 and 14.
  7. 7.Find the HCF of 84 and 98.
  8. 8.Find the HCF of 45 and 63.
  9. 9.Find the LCM of 21 and 27.
  10. 10.Find the LCM of 7, 14 and 4.
  11. 11.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  12. 12.Find the LCM of 12 and 42.
  13. 13.Find the LCM of 18 and 12.
  14. 14.Find the LCM of 16 and 18.
  15. 15.Find the LCM of 6 and 14.
  16. 16.Find the LCM of 30 and 36.
  17. 17.Find the LCM of 5, 10 and 13.
  18. 18.Find the LCM of 16 and 28.
  19. 19.Find the LCM of 5, 3 and 7.
  20. 20.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  21. 21.Find the LCM of 18 and 42.
  22. 22.Find the LCM of 5 and 2.
  23. 23.Find the HCF of 33 and 44.
  24. 24.Find the LCM of 18 and 21.
  25. 25.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  26. 26.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  27. 27.Find the HCF of 18 and 42.
  28. 28.Find the HCF of 35 and 40.
  29. 29.Find the LCM of 42 and 54.
  30. 30.Find the LCM of 10 and 8.
  31. 31.Find the HCF of 26 and 117.
  32. 32.Find the LCM of 3 and 4.
  33. 33.Find the HCF of 24 and 56.
  34. 34.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  35. 35.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  36. 36.Find the HCF of 105 and 75.
  37. 37.Find the LCM of 2, 8 and 3.
  38. 38.Find the LCM of 11, 2 and 4.
  39. 39.Find the LCM of 30 and 12.
  40. 40.Find the LCM of 2, 3 and 8.

Answer key

  1. 24
  2. 5
  3. 27
  4. 6
  5. 36
  6. 2
  7. 14
  8. 9
  9. 189
  10. 28
  11. 12
  12. 84
  13. 36
  14. 144
  15. 42
  16. 180
  17. 130
  18. 112
  19. 105
  20. 45
  21. 126
  22. 10
  23. 11
  24. 126
  25. 35
  26. 20
  27. 6
  28. 5
  29. 378
  30. 40
  31. 13
  32. 12
  33. 8
  34. 6
  35. 4
  36. 15
  37. 24
  38. 44
  39. 60
  40. 24

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude