← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 348 · 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 2, 12 and 15.
  2. 2.Find the LCM of 6 and 9.
  3. 3.Find the LCM of 6, 2 and 15.
  4. 4.Find the LCM of 20 and 32.
  5. 5.Find the LCM of 4, 9 and 10.
  6. 6.Find the HCF of 77 and 44.
  7. 7.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  8. 8.Find the HCF of 88 and 55.
  9. 9.Find the LCM of 18 and 21.
  10. 10.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  11. 11.Find the LCM of 4 and 5.
  12. 12.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  13. 13.Find the LCM of 5, 7 and 3.
  14. 14.Find the LCM of 9 and 8.
  15. 15.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  16. 16.Find the LCM of 10 and 6.
  17. 17.Find the LCM of 24 and 9.
  18. 18.Find the LCM of 6 and 14.
  19. 19.Find the LCM of 3, 15 and 8.
  20. 20.Find the LCM of 8 and 7.
  21. 21.Find the LCM of 3, 7 and 5.
  22. 22.Find the LCM of 4, 9 and 6.
  23. 23.Find the LCM of 36 and 42.
  24. 24.Find the LCM of 12, 6 and 13.
  25. 25.Find the LCM of 9 and 5.
  26. 26.Find the LCM of 12 and 32.
  27. 27.Find the LCM of 10 and 25.
  28. 28.Find the LCM of 7 and 3.
  29. 29.Find the LCM of 35 and 45.
  30. 30.Find the LCM of 14, 7 and 5.
  31. 31.Find the LCM of 12, 3 and 11.
  32. 32.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  33. 33.Find the HCF of 56 and 98.
  34. 34.Find the LCM of 3, 4 and 12.
  35. 35.Find the LCM of 12 and 30.
  36. 36.Find the HCF of 4 and 6.
  37. 37.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  38. 38.Find the LCM of 10, 2 and 12.
  39. 39.Find the LCM of 8 and 3.
  40. 40.Find the HCF of 56 and 49.

Answer key

  1. 60
  2. 18
  3. 30
  4. 160
  5. 180
  6. 11
  7. 64
  8. 11
  9. 126
  10. 63
  11. 20
  12. 45
  13. 105
  14. 72
  15. 28
  16. 30
  17. 72
  18. 42
  19. 120
  20. 56
  21. 105
  22. 36
  23. 252
  24. 156
  25. 45
  26. 96
  27. 50
  28. 21
  29. 315
  30. 70
  31. 132
  32. 18
  33. 14
  34. 12
  35. 60
  36. 2
  37. 56
  38. 60
  39. 24
  40. 7

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