← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 94 · 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 6 and 21.
  2. 2.Find the LCM of 25 and 20.
  3. 3.Find the LCM of 30 and 54.
  4. 4.Find the HCF of 90 and 20.
  5. 5.Find the HCF of 84 and 36.
  6. 6.Find the LCM of 8, 10 and 4.
  7. 7.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  8. 8.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  9. 9.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  10. 10.Find the LCM of 8, 3 and 15.
  11. 11.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  12. 12.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  13. 13.Find the LCM of 6, 9 and 7.
  14. 14.Find the LCM of 4 and 3.
  15. 15.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  16. 16.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  17. 17.Find the HCF of 30 and 40.
  18. 18.Find the LCM of 32 and 28.
  19. 19.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  20. 20.Find the LCM of 10 and 18.
  21. 21.Find the HCF of 27 and 21.
  22. 22.Find the HCF of 70 and 84.
  23. 23.Find the HCF of 6 and 14.
  24. 24.Find the HCF of 16 and 40.
  25. 25.Find the HCF of 18 and 48.
  26. 26.Find the HCF of 32 and 12.
  27. 27.Find the LCM of 20 and 8.
  28. 28.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  29. 29.Find the LCM of 12, 11 and 2.
  30. 30.Find the LCM of 8, 2 and 14.
  31. 31.Find the LCM of 6 and 14.
  32. 32.Find the LCM of 3, 15 and 5.
  33. 33.Find the HCF of 8 and 18.
  34. 34.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  35. 35.Find the LCM of 11, 5 and 2.
  36. 36.Find the LCM of 15, 12 and 2.
  37. 37.Find the HCF of 45 and 40.
  38. 38.Find the HCF of 28 and 12.
  39. 39.Find the LCM of 9, 6 and 8.
  40. 40.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?

Answer key

  1. 42
  2. 100
  3. 270
  4. 10
  5. 12
  6. 40
  7. 24
  8. 81
  9. 28
  10. 120
  11. 35
  12. 18
  13. 126
  14. 12
  15. 6
  16. 6
  17. 10
  18. 224
  19. 56
  20. 90
  21. 3
  22. 14
  23. 2
  24. 8
  25. 6
  26. 4
  27. 40
  28. 30
  29. 132
  30. 56
  31. 42
  32. 15
  33. 2
  34. 32
  35. 110
  36. 60
  37. 5
  38. 4
  39. 72
  40. 12

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