← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 519 · 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 16 and 6.
  2. 2.Find the LCM of 42 and 18.
  3. 3.Find the LCM of 6, 2 and 8.
  4. 4.Find the LCM of 30 and 48.
  5. 5.Find the HCF of 42 and 54.
  6. 6.Find the LCM of 15, 5 and 11.
  7. 7.Find the LCM of 15 and 10.
  8. 8.Find the LCM of 15 and 6.
  9. 9.Find the LCM of 5, 4 and 14.
  10. 10.Find the LCM of 3, 11 and 7.
  11. 11.Find the HCF of 35 and 20.
  12. 12.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  13. 13.Find the LCM of 4, 5 and 10.
  14. 14.Find the HCF of 18 and 48.
  15. 15.Find the HCF of 63 and 45.
  16. 16.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  17. 17.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  18. 18.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  19. 19.Find the LCM of 14 and 6.
  20. 20.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  21. 21.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  22. 22.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  23. 23.Find the HCF of 12 and 21.
  24. 24.Find the HCF of 78 and 65.
  25. 25.Find the LCM of 5, 8 and 3.
  26. 26.Find the LCM of 10, 3 and 4.
  27. 27.Find the LCM of 16 and 10.
  28. 28.Find the HCF of 90 and 75.
  29. 29.Find the HCF of 60 and 108.
  30. 30.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  31. 31.Find the HCF of 70 and 50.
  32. 32.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  33. 33.Find the LCM of 2, 10 and 5.
  34. 34.Find the HCF of 21 and 35.
  35. 35.Find the LCM of 20 and 24.
  36. 36.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  37. 37.Find the HCF of 30 and 135.
  38. 38.Find the LCM of 14, 10 and 15.
  39. 39.Find the HCF of 32 and 12.
  40. 40.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?

Answer key

  1. 48
  2. 126
  3. 24
  4. 240
  5. 6
  6. 165
  7. 30
  8. 30
  9. 140
  10. 231
  11. 5
  12. 40
  13. 20
  14. 6
  15. 9
  16. 27
  17. 8
  18. 56
  19. 42
  20. 18
  21. 14
  22. 56
  23. 3
  24. 13
  25. 120
  26. 60
  27. 80
  28. 15
  29. 12
  30. 30
  31. 10
  32. 24
  33. 10
  34. 7
  35. 120
  36. 10
  37. 15
  38. 210
  39. 4
  40. 63

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