← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 745 · 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 25 and 15.
  2. 2.Find the HCF of 70 and 84.
  3. 3.Find the LCM of 16 and 12.
  4. 4.Find the LCM of 10, 2 and 12.
  5. 5.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  6. 6.Find the LCM of 2 and 5.
  7. 7.Find the LCM of 14, 15 and 5.
  8. 8.Find the LCM of 30 and 24.
  9. 9.Find the HCF of 81 and 18.
  10. 10.Find the LCM of 18 and 14.
  11. 11.Find the LCM of 45 and 10.
  12. 12.Find the HCF of 8 and 20.
  13. 13.Find the LCM of 14, 4 and 2.
  14. 14.Find the LCM of 7, 11 and 2.
  15. 15.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  16. 16.Find the HCF of 12 and 15.
  17. 17.Find the LCM of 10, 2 and 11.
  18. 18.Find the LCM of 20 and 45.
  19. 19.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  20. 20.Find the LCM of 2, 11 and 5.
  21. 21.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  22. 22.Find the LCM of 2, 3 and 12.
  23. 23.Find the LCM of 42 and 18.
  24. 24.Find the LCM of 30 and 18.
  25. 25.Find the LCM of 6, 5 and 14.
  26. 26.Find the LCM of 40 and 35.
  27. 27.Find the LCM of 24 and 20.
  28. 28.Find the LCM of 5, 8 and 15.
  29. 29.Find the HCF of 72 and 45.
  30. 30.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  31. 31.Find the HCF of 96 and 36.
  32. 32.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  33. 33.Find the LCM of 7, 9 and 6.
  34. 34.Find the LCM of 12 and 32.
  35. 35.Find the LCM of 9, 14 and 6.
  36. 36.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  37. 37.Find the LCM of 2, 4 and 5.
  38. 38.Find the LCM of 14, 9 and 3.
  39. 39.Find the HCF of 88 and 55.
  40. 40.Find the LCM of 8 and 36.

Answer key

  1. 75
  2. 14
  3. 48
  4. 60
  5. 32
  6. 10
  7. 210
  8. 120
  9. 9
  10. 126
  11. 90
  12. 4
  13. 28
  14. 154
  15. 72
  16. 3
  17. 110
  18. 180
  19. 21
  20. 110
  21. 28
  22. 12
  23. 126
  24. 90
  25. 210
  26. 280
  27. 120
  28. 120
  29. 9
  30. 10
  31. 12
  32. 16
  33. 126
  34. 96
  35. 126
  36. 27
  37. 20
  38. 126
  39. 11
  40. 72

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