← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 630 · 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 and 30.
  2. 2.Find the HCF of 21 and 24.
  3. 3.Find the HCF of 40 and 35.
  4. 4.Find the LCM of 10, 15 and 7.
  5. 5.Find the LCM of 12 and 18.
  6. 6.Find the LCM of 11, 6 and 4.
  7. 7.Find the LCM of 2, 3 and 7.
  8. 8.Find the LCM of 36 and 8.
  9. 9.Find the HCF of 80 and 50.
  10. 10.Find the LCM of 6 and 27.
  11. 11.Find the LCM of 10, 11 and 4.
  12. 12.Find the HCF of 20 and 28.
  13. 13.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  14. 14.Find the LCM of 15, 2 and 8.
  15. 15.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  16. 16.Find the HCF of 15 and 24.
  17. 17.Find the LCM of 5 and 3.
  18. 18.Find the HCF of 16 and 18.
  19. 19.Find the HCF of 8 and 28.
  20. 20.Find the LCM of 10, 5 and 6.
  21. 21.Find the LCM of 10, 3 and 15.
  22. 22.Find the HCF of 35 and 10.
  23. 23.Find the LCM of 3, 2 and 4.
  24. 24.Find the LCM of 4, 11 and 8.
  25. 25.Find the HCF of 21 and 14.
  26. 26.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  27. 27.Find the LCM of 13, 10 and 2.
  28. 28.Find the HCF of 8 and 14.
  29. 29.Find the HCF of 78 and 91.
  30. 30.Find the LCM of 10, 2 and 12.
  31. 31.Find the LCM of 12, 15 and 4.
  32. 32.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  33. 33.Find the HCF of 27 and 72.
  34. 34.Find the LCM of 12, 3 and 8.
  35. 35.Find the HCF of 56 and 48.
  36. 36.Find the HCF of 24 and 42.
  37. 37.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  38. 38.Find the LCM of 5, 3 and 11.
  39. 39.Find the LCM of 18 and 10.
  40. 40.Find the HCF of 18 and 45.

Answer key

  1. 60
  2. 3
  3. 5
  4. 210
  5. 36
  6. 132
  7. 42
  8. 72
  9. 10
  10. 54
  11. 220
  12. 4
  13. 6
  14. 120
  15. 27
  16. 3
  17. 15
  18. 2
  19. 4
  20. 30
  21. 30
  22. 5
  23. 12
  24. 88
  25. 7
  26. 15
  27. 130
  28. 2
  29. 13
  30. 60
  31. 60
  32. 49
  33. 9
  34. 24
  35. 8
  36. 6
  37. 49
  38. 165
  39. 90
  40. 9

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