← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 805 · 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 5, 8 and 4.
  2. 2.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  3. 3.Find the HCF of 20 and 30.
  4. 4.Find the LCM of 14 and 6.
  5. 5.Find the HCF of 32 and 24.
  6. 6.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  7. 7.Find the LCM of 2, 3 and 11.
  8. 8.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  9. 9.Find the LCM of 6, 3 and 15.
  10. 10.Find the LCM of 42 and 36.
  11. 11.Find the LCM of 3, 8 and 5.
  12. 12.Find the LCM of 14 and 8.
  13. 13.Find the LCM of 36 and 20.
  14. 14.Find the HCF of 90 and 105.
  15. 15.Find the LCM of 18 and 4.
  16. 16.Find the LCM of 9 and 8.
  17. 17.Find the LCM of 20 and 15.
  18. 18.Find the HCF of 42 and 28.
  19. 19.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  20. 20.Find the HCF of 18 and 27.
  21. 21.Find the LCM of 10, 7 and 4.
  22. 22.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  23. 23.Find the HCF of 36 and 8.
  24. 24.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  25. 25.Find the LCM of 15, 8 and 4.
  26. 26.Find the HCF of 48 and 84.
  27. 27.Find the LCM of 20 and 32.
  28. 28.Find the HCF of 16 and 56.
  29. 29.Find the LCM of 11, 4 and 3.
  30. 30.Find the LCM of 9, 5 and 2.
  31. 31.Find the LCM of 7, 15 and 10.
  32. 32.Find the HCF of 21 and 6.
  33. 33.Find the LCM of 12, 3 and 10.
  34. 34.Find the HCF of 39 and 104.
  35. 35.Find the HCF of 4 and 18.
  36. 36.Find the LCM of 4 and 3.
  37. 37.Find the HCF of 126 and 28.
  38. 38.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  39. 39.Find the LCM of 10, 4 and 11.
  40. 40.Find the LCM of 6 and 27.

Answer key

  1. 40
  2. 45
  3. 10
  4. 42
  5. 8
  6. 48
  7. 66
  8. 18
  9. 30
  10. 252
  11. 120
  12. 56
  13. 180
  14. 15
  15. 36
  16. 72
  17. 60
  18. 14
  19. 14
  20. 9
  21. 140
  22. 25
  23. 4
  24. 24
  25. 120
  26. 12
  27. 160
  28. 8
  29. 132
  30. 90
  31. 210
  32. 3
  33. 60
  34. 13
  35. 2
  36. 12
  37. 14
  38. 40
  39. 220
  40. 54

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