← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 128 · 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 8, 15 and 6.
  2. 2.Find the LCM of 18 and 4.
  3. 3.Find the HCF of 55 and 33.
  4. 4.Find the LCM of 35 and 10.
  5. 5.Find the LCM of 15, 5 and 13.
  6. 6.Find the HCF of 14 and 12.
  7. 7.Find the LCM of 20 and 45.
  8. 8.Find the LCM of 48 and 18.
  9. 9.Find the LCM of 2 and 3.
  10. 10.Find the LCM of 10, 9 and 4.
  11. 11.Find the HCF of 12 and 42.
  12. 12.Find the HCF of 6 and 4.
  13. 13.Find the LCM of 7, 8 and 2.
  14. 14.Find the HCF of 18 and 48.
  15. 15.Find the LCM of 14, 2 and 8.
  16. 16.Find the LCM of 18 and 21.
  17. 17.Find the HCF of 12 and 9.
  18. 18.Find the HCF of 35 and 49.
  19. 19.Find the LCM of 7, 9 and 3.
  20. 20.Find the LCM of 3, 2 and 4.
  21. 21.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  22. 22.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  23. 23.Find the LCM of 14, 15 and 3.
  24. 24.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  25. 25.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  26. 26.Find the HCF of 90 and 20.
  27. 27.Find the HCF of 40 and 16.
  28. 28.Find the LCM of 9 and 2.
  29. 29.Find the HCF of 21 and 12.
  30. 30.Find the LCM of 6, 9 and 11.
  31. 31.Find the HCF of 8 and 18.
  32. 32.Find the HCF of 14 and 4.
  33. 33.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  34. 34.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  35. 35.Find the LCM of 6, 5 and 15.
  36. 36.Find the LCM of 4 and 18.
  37. 37.Find the LCM of 8, 15 and 2.
  38. 38.Find the LCM of 9 and 4.
  39. 39.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  40. 40.Find the LCM of 5, 15 and 2.

Answer key

  1. 120
  2. 36
  3. 11
  4. 70
  5. 195
  6. 2
  7. 180
  8. 144
  9. 6
  10. 180
  11. 6
  12. 2
  13. 56
  14. 6
  15. 56
  16. 126
  17. 3
  18. 7
  19. 63
  20. 12
  21. 9
  22. 14
  23. 210
  24. 18
  25. 56
  26. 10
  27. 8
  28. 18
  29. 3
  30. 198
  31. 2
  32. 2
  33. 32
  34. 16
  35. 30
  36. 36
  37. 120
  38. 36
  39. 45
  40. 30

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