← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 131 · 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 4, 6 and 12.
  2. 2.Find the LCM of 18 and 42.
  3. 3.Find the LCM of 14, 6 and 15.
  4. 4.Find the LCM of 14, 3 and 9.
  5. 5.Find the LCM of 12, 13 and 2.
  6. 6.Find the LCM of 4, 10 and 6.
  7. 7.Find the LCM of 18 and 8.
  8. 8.Find the HCF of 39 and 65.
  9. 9.Find the LCM of 12 and 14.
  10. 10.Find the HCF of 39 and 91.
  11. 11.Find the HCF of 126 and 98.
  12. 12.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  13. 13.Find the LCM of 2, 9 and 11.
  14. 14.Find the LCM of 12, 9 and 3.
  15. 15.Find the HCF of 112 and 98.
  16. 16.Find the LCM of 12, 2 and 13.
  17. 17.Find the LCM of 12, 6 and 3.
  18. 18.Find the HCF of 105 and 75.
  19. 19.Find the LCM of 10, 12 and 8.
  20. 20.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  21. 21.Find the LCM of 12, 3 and 5.
  22. 22.Find the LCM of 8, 14 and 6.
  23. 23.Find the HCF of 63 and 56.
  24. 24.Find the HCF of 81 and 63.
  25. 25.Find the LCM of 10 and 6.
  26. 26.Find the HCF of 42 and 28.
  27. 27.Find the HCF of 105 and 30.
  28. 28.Find the LCM of 12 and 10.
  29. 29.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  30. 30.Find the LCM of 8, 10 and 3.
  31. 31.Find the HCF of 6 and 10.
  32. 32.Find the HCF of 72 and 40.
  33. 33.Find the LCM of 25 and 30.
  34. 34.Find the HCF of 54 and 24.
  35. 35.Find the LCM of 9, 5 and 12.
  36. 36.Find the LCM of 6 and 5.
  37. 37.Find the HCF of 55 and 88.
  38. 38.Find the LCM of 4 and 10.
  39. 39.Find the HCF of 22 and 33.
  40. 40.Find the HCF of 117 and 26.

Answer key

  1. 12
  2. 126
  3. 210
  4. 126
  5. 156
  6. 60
  7. 72
  8. 13
  9. 84
  10. 13
  11. 14
  12. 15
  13. 198
  14. 36
  15. 14
  16. 156
  17. 12
  18. 15
  19. 120
  20. 24
  21. 60
  22. 168
  23. 7
  24. 9
  25. 30
  26. 14
  27. 15
  28. 60
  29. 12
  30. 120
  31. 2
  32. 8
  33. 150
  34. 6
  35. 180
  36. 30
  37. 11
  38. 20
  39. 11
  40. 13

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