← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 296 · 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 11, 2 and 14.
  2. 2.Find the HCF of 35 and 15.
  3. 3.Find the HCF of 22 and 55.
  4. 4.Find the HCF of 70 and 42.
  5. 5.Find the HCF of 28 and 16.
  6. 6.Find the LCM of 5, 4 and 7.
  7. 7.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  8. 8.Find the HCF of 63 and 81.
  9. 9.Find the HCF of 24 and 30.
  10. 10.Find the LCM of 8, 12 and 5.
  11. 11.Find the LCM of 8 and 36.
  12. 12.Find the HCF of 32 and 40.
  13. 13.Find the HCF of 24 and 28.
  14. 14.Find the HCF of 56 and 16.
  15. 15.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  16. 16.Find the HCF of 50 and 20.
  17. 17.Find the HCF of 40 and 70.
  18. 18.Find the LCM of 9, 14 and 7.
  19. 19.Find the LCM of 10, 2 and 9.
  20. 20.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  21. 21.Find the LCM of 8, 2 and 15.
  22. 22.Find the LCM of 9, 6 and 8.
  23. 23.Find the LCM of 10, 5 and 4.
  24. 24.Find the LCM of 16 and 28.
  25. 25.Find the LCM of 12, 2 and 4.
  26. 26.Find the HCF of 64 and 24.
  27. 27.Find the LCM of 12, 10 and 6.
  28. 28.Find the LCM of 4, 13 and 8.
  29. 29.Find the LCM of 12 and 15.
  30. 30.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  31. 31.Find the HCF of 54 and 48.
  32. 32.Find the LCM of 10, 8 and 2.
  33. 33.Find the LCM of 8, 4 and 12.
  34. 34.Find the HCF of 49 and 56.
  35. 35.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  36. 36.Find the LCM of 4, 6 and 14.
  37. 37.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  38. 38.Find the LCM of 42 and 24.
  39. 39.Find the LCM of 7, 10 and 14.
  40. 40.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?

Answer key

  1. 154
  2. 5
  3. 11
  4. 14
  5. 4
  6. 140
  7. 48
  8. 9
  9. 6
  10. 120
  11. 72
  12. 8
  13. 4
  14. 8
  15. 27
  16. 10
  17. 10
  18. 126
  19. 90
  20. 49
  21. 120
  22. 72
  23. 20
  24. 112
  25. 12
  26. 8
  27. 60
  28. 104
  29. 60
  30. 28
  31. 6
  32. 40
  33. 24
  34. 7
  35. 10
  36. 84
  37. 20
  38. 168
  39. 70
  40. 56

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