← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 64 · 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.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  2. 2.Find the LCM of 2, 5 and 13.
  3. 3.Find the LCM of 36 and 28.
  4. 4.Find the HCF of 70 and 30.
  5. 5.Find the LCM of 3, 12 and 13.
  6. 6.Find the LCM of 10, 13 and 5.
  7. 7.Find the HCF of 9 and 24.
  8. 8.Find the HCF of 35 and 14.
  9. 9.Find the HCF of 42 and 18.
  10. 10.Find the LCM of 16 and 20.
  11. 11.Find the HCF of 14 and 6.
  12. 12.Find the HCF of 15 and 24.
  13. 13.Find the LCM of 12 and 18.
  14. 14.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  15. 15.Find the HCF of 28 and 32.
  16. 16.Find the LCM of 9 and 2.
  17. 17.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  18. 18.Find the LCM of 4, 3 and 11.
  19. 19.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  20. 20.Find the LCM of 3, 2 and 4.
  21. 21.Find the HCF of 30 and 135.
  22. 22.Find the HCF of 45 and 60.
  23. 23.Find the LCM of 21 and 12.
  24. 24.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  25. 25.Find the LCM of 3, 10 and 5.
  26. 26.Find the LCM of 12, 7 and 2.
  27. 27.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  28. 28.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  29. 29.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  30. 30.Find the HCF of 75 and 60.
  31. 31.Find the LCM of 14 and 18.
  32. 32.Find the LCM of 3, 2 and 6.
  33. 33.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  34. 34.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  35. 35.Find the LCM of 3 and 8.
  36. 36.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  37. 37.Find the LCM of 40 and 45.
  38. 38.Find the LCM of 3, 9 and 14.
  39. 39.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  40. 40.Find the HCF of 9 and 15.

Answer key

  1. 42
  2. 130
  3. 252
  4. 10
  5. 156
  6. 130
  7. 3
  8. 7
  9. 6
  10. 80
  11. 2
  12. 3
  13. 36
  14. 18
  15. 4
  16. 18
  17. 12
  18. 132
  19. 40
  20. 12
  21. 15
  22. 15
  23. 84
  24. 12
  25. 30
  26. 84
  27. 40
  28. 4
  29. 6
  30. 15
  31. 126
  32. 6
  33. 24
  34. 72
  35. 24
  36. 32
  37. 360
  38. 126
  39. 6
  40. 3

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