← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 577 · 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 14 and 4.
  2. 2.Find the HCF of 112 and 42.
  3. 3.Find the LCM of 7, 4 and 3.
  4. 4.Find the HCF of 72 and 16.
  5. 5.Find the LCM of 4 and 9.
  6. 6.Find the LCM of 15, 9 and 4.
  7. 7.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  8. 8.Find the HCF of 16 and 18.
  9. 9.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  10. 10.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  11. 11.Find the LCM of 5, 7 and 14.
  12. 12.Find the LCM of 20 and 28.
  13. 13.Find the HCF of 4 and 14.
  14. 14.Find the LCM of 25 and 10.
  15. 15.Find the HCF of 56 and 64.
  16. 16.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  17. 17.Find the HCF of 80 and 90.
  18. 18.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  19. 19.Find the LCM of 32 and 12.
  20. 20.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  21. 21.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  22. 22.Find the HCF of 21 and 56.
  23. 23.Find the HCF of 20 and 24.
  24. 24.Find the LCM of 24 and 28.
  25. 25.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  26. 26.Find the HCF of 32 and 12.
  27. 27.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  28. 28.Find the HCF of 20 and 8.
  29. 29.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  30. 30.Find the LCM of 45 and 10.
  31. 31.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  32. 32.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  33. 33.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  34. 34.Find the LCM of 4, 2 and 7.
  35. 35.Find the LCM of 24 and 54.
  36. 36.Find the LCM of 2, 15 and 7.
  37. 37.Find the LCM of 15 and 10.
  38. 38.Find the LCM of 6, 3 and 8.
  39. 39.Find the LCM of 28 and 24.
  40. 40.Find the LCM of 12 and 16.

Answer key

  1. 28
  2. 14
  3. 84
  4. 8
  5. 36
  6. 180
  7. 54
  8. 2
  9. 45
  10. 14
  11. 70
  12. 140
  13. 2
  14. 50
  15. 8
  16. 6
  17. 10
  18. 28
  19. 96
  20. 8
  21. 21
  22. 7
  23. 4
  24. 168
  25. 24
  26. 4
  27. 63
  28. 4
  29. 24
  30. 90
  31. 27
  32. 45
  33. 54
  34. 28
  35. 216
  36. 210
  37. 30
  38. 24
  39. 168
  40. 48

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