← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 143 · 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, 7 and 3.
  2. 2.Find the LCM of 36 and 32.
  3. 3.Find the LCM of 12, 15 and 2.
  4. 4.Find the LCM of 8, 9 and 4.
  5. 5.Find the LCM of 5 and 9.
  6. 6.Find the LCM of 12 and 9.
  7. 7.Find the LCM of 12 and 32.
  8. 8.Find the LCM of 5, 9 and 3.
  9. 9.Find the LCM of 9, 6 and 5.
  10. 10.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  11. 11.Find the LCM of 14 and 10.
  12. 12.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  13. 13.Find the LCM of 11, 2 and 6.
  14. 14.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  15. 15.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  16. 16.Find the HCF of 112 and 98.
  17. 17.Find the HCF of 54 and 45.
  18. 18.Find the HCF of 54 and 48.
  19. 19.Find the HCF of 39 and 52.
  20. 20.Find the LCM of 13, 6 and 9.
  21. 21.Find the LCM of 9 and 24.
  22. 22.Find the LCM of 12 and 30.
  23. 23.Find the LCM of 15, 2 and 8.
  24. 24.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  25. 25.Find the LCM of 16 and 10.
  26. 26.Find the LCM of 6, 4 and 13.
  27. 27.Find the LCM of 48 and 54.
  28. 28.Find the HCF of 25 and 30.
  29. 29.Find the HCF of 48 and 40.
  30. 30.Find the HCF of 32 and 20.
  31. 31.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  32. 32.Find the LCM of 40 and 45.
  33. 33.Find the HCF of 55 and 33.
  34. 34.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  35. 35.Find the LCM of 6, 2 and 7.
  36. 36.Find the LCM of 5, 2 and 4.
  37. 37.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  38. 38.Find the HCF of 25 and 35.
  39. 39.Find the LCM of 12 and 15.
  40. 40.Find the LCM of 36 and 28.

Answer key

  1. 84
  2. 288
  3. 60
  4. 72
  5. 45
  6. 36
  7. 96
  8. 45
  9. 90
  10. 21
  11. 70
  12. 54
  13. 66
  14. 6
  15. 8
  16. 14
  17. 9
  18. 6
  19. 13
  20. 234
  21. 72
  22. 60
  23. 120
  24. 30
  25. 80
  26. 156
  27. 432
  28. 5
  29. 8
  30. 4
  31. 9
  32. 360
  33. 11
  34. 45
  35. 42
  36. 20
  37. 14
  38. 5
  39. 60
  40. 252

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