← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 973 · 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 5, 2 and 9.
  2. 2.Find the HCF of 42 and 56.
  3. 3.Find the HCF of 84 and 98.
  4. 4.Find the LCM of 30 and 25.
  5. 5.Find the HCF of 15 and 18.
  6. 6.Find the LCM of 12, 2 and 4.
  7. 7.Find the HCF of 56 and 40.
  8. 8.Find the LCM of 7 and 2.
  9. 9.Find the LCM of 5, 14 and 4.
  10. 10.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  11. 11.Find the LCM of 5, 9 and 4.
  12. 12.Find the HCF of 14 and 49.
  13. 13.Find the HCF of 50 and 40.
  14. 14.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  15. 15.Find the HCF of 105 and 30.
  16. 16.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  17. 17.Find the LCM of 8 and 36.
  18. 18.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  19. 19.Find the LCM of 21 and 27.
  20. 20.Find the HCF of 49 and 42.
  21. 21.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  22. 22.Find the HCF of 117 and 65.
  23. 23.Find the LCM of 28 and 36.
  24. 24.Find the LCM of 8, 12 and 6.
  25. 25.Find the LCM of 2, 4 and 5.
  26. 26.Find the LCM of 9, 7 and 6.
  27. 27.Find the HCF of 12 and 27.
  28. 28.Find the HCF of 6 and 9.
  29. 29.Find the LCM of 10 and 25.
  30. 30.Find the LCM of 2, 11 and 6.
  31. 31.Find the HCF of 35 and 49.
  32. 32.Find the LCM of 21 and 24.
  33. 33.Find the HCF of 60 and 70.
  34. 34.Find the LCM of 14, 15 and 3.
  35. 35.Find the HCF of 16 and 72.
  36. 36.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  37. 37.Find the LCM of 4, 6 and 13.
  38. 38.Find the LCM of 18 and 14.
  39. 39.Find the HCF of 27 and 36.
  40. 40.Find the HCF of 48 and 56.

Answer key

  1. 90
  2. 14
  3. 14
  4. 150
  5. 3
  6. 12
  7. 8
  8. 14
  9. 140
  10. 36
  11. 180
  12. 7
  13. 10
  14. 40
  15. 15
  16. 24
  17. 72
  18. 30
  19. 189
  20. 7
  21. 28
  22. 13
  23. 252
  24. 24
  25. 20
  26. 126
  27. 3
  28. 3
  29. 50
  30. 66
  31. 7
  32. 168
  33. 10
  34. 210
  35. 8
  36. 30
  37. 156
  38. 126
  39. 9
  40. 8

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