← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 813 · 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, 4 and 6.
  2. 2.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  3. 3.Find the LCM of 28 and 32.
  4. 4.Find the LCM of 30 and 18.
  5. 5.Find the LCM of 15, 10 and 5.
  6. 6.Find the HCF of 35 and 56.
  7. 7.Find the LCM of 15 and 9.
  8. 8.Find the LCM of 3, 14 and 10.
  9. 9.Find the LCM of 27 and 24.
  10. 10.Find the HCF of 20 and 36.
  11. 11.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  12. 12.Find the LCM of 25 and 45.
  13. 13.Find the LCM of 7, 15 and 2.
  14. 14.Find the LCM of 42 and 48.
  15. 15.Find the LCM of 8 and 36.
  16. 16.Find the LCM of 14, 15 and 5.
  17. 17.Find the LCM of 6, 7 and 4.
  18. 18.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  19. 19.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  20. 20.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  21. 21.Find the LCM of 30 and 24.
  22. 22.Find the LCM of 54 and 24.
  23. 23.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  24. 24.Find the HCF of 16 and 24.
  25. 25.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  26. 26.Find the LCM of 5 and 3.
  27. 27.Find the LCM of 18 and 48.
  28. 28.Find the LCM of 2 and 5.
  29. 29.Find the LCM of 35 and 40.
  30. 30.Find the HCF of 98 and 42.
  31. 31.Find the LCM of 4 and 6.
  32. 32.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  33. 33.Find the LCM of 8 and 12.
  34. 34.Find the HCF of 16 and 12.
  35. 35.Find the LCM of 6, 8 and 5.
  36. 36.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  37. 37.Find the LCM of 12, 9 and 2.
  38. 38.Find the LCM of 4, 5 and 8.
  39. 39.Find the LCM of 14 and 4.
  40. 40.Find the LCM of 14, 5 and 6.

Answer key

  1. 12
  2. 24
  3. 224
  4. 90
  5. 30
  6. 7
  7. 45
  8. 210
  9. 216
  10. 4
  11. 63
  12. 225
  13. 210
  14. 336
  15. 72
  16. 210
  17. 84
  18. 72
  19. 24
  20. 24
  21. 120
  22. 216
  23. 12
  24. 8
  25. 18
  26. 15
  27. 144
  28. 10
  29. 280
  30. 14
  31. 12
  32. 63
  33. 24
  34. 4
  35. 120
  36. 25
  37. 36
  38. 40
  39. 28
  40. 210

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