← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 543 · 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 10 and 18.
  2. 2.Find the HCF of 72 and 60.
  3. 3.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  4. 4.Find the LCM of 9 and 2.
  5. 5.Find the LCM of 4, 15 and 12.
  6. 6.Find the HCF of 63 and 56.
  7. 7.Find the LCM of 24 and 18.
  8. 8.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  9. 9.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  10. 10.Find the LCM of 25 and 40.
  11. 11.Find the LCM of 6, 9 and 3.
  12. 12.Find the LCM of 3 and 2.
  13. 13.Find the LCM of 10, 15 and 6.
  14. 14.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  15. 15.Find the HCF of 9 and 24.
  16. 16.Find the HCF of 21 and 56.
  17. 17.Find the HCF of 42 and 35.
  18. 18.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  19. 19.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  20. 20.Find the LCM of 5, 2 and 7.
  21. 21.Find the HCF of 50 and 30.
  22. 22.Find the LCM of 8 and 12.
  23. 23.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  24. 24.Find the LCM of 16 and 36.
  25. 25.Find the LCM of 6, 2 and 5.
  26. 26.Find the HCF of 88 and 55.
  27. 27.Find the LCM of 3, 10 and 2.
  28. 28.Find the LCM of 5, 6 and 3.
  29. 29.Find the LCM of 5 and 9.
  30. 30.Find the LCM of 4 and 10.
  31. 31.Find the LCM of 8, 6 and 9.
  32. 32.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  33. 33.Find the LCM of 8, 12 and 14.
  34. 34.Find the HCF of 105 and 45.
  35. 35.Find the LCM of 6, 4 and 7.
  36. 36.Find the HCF of 49 and 21.
  37. 37.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  38. 38.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  39. 39.Find the HCF of 60 and 24.
  40. 40.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?

Answer key

  1. 90
  2. 12
  3. 18
  4. 18
  5. 60
  6. 7
  7. 72
  8. 63
  9. 16
  10. 200
  11. 18
  12. 6
  13. 30
  14. 30
  15. 3
  16. 7
  17. 7
  18. 9
  19. 24
  20. 70
  21. 10
  22. 24
  23. 49
  24. 144
  25. 30
  26. 11
  27. 30
  28. 30
  29. 45
  30. 20
  31. 72
  32. 12
  33. 168
  34. 15
  35. 84
  36. 7
  37. 35
  38. 20
  39. 12
  40. 16

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