← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 217 · 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 8, 4 and 5.
  2. 2.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  3. 3.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  4. 4.Find the LCM of 4 and 5.
  5. 5.Find the LCM of 32 and 28.
  6. 6.Find the HCF of 63 and 72.
  7. 7.Find the HCF of 40 and 72.
  8. 8.Find the LCM of 13, 4 and 3.
  9. 9.Find the HCF of 55 and 88.
  10. 10.Find the LCM of 21 and 6.
  11. 11.Find the HCF of 40 and 35.
  12. 12.Find the HCF of 65 and 91.
  13. 13.Find the HCF of 75 and 30.
  14. 14.Find the LCM of 2 and 5.
  15. 15.Find the HCF of 42 and 112.
  16. 16.Find the HCF of 80 and 70.
  17. 17.Find the LCM of 14, 4 and 6.
  18. 18.Find the HCF of 14 and 21.
  19. 19.Find the LCM of 10 and 4.
  20. 20.Find the HCF of 30 and 45.
  21. 21.Find the LCM of 4, 11 and 3.
  22. 22.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  23. 23.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  24. 24.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  25. 25.Find the LCM of 3, 14 and 12.
  26. 26.Find the LCM of 8, 4 and 9.
  27. 27.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  28. 28.Find the LCM of 6 and 5.
  29. 29.Find the LCM of 4, 5 and 9.
  30. 30.Find the LCM of 2 and 3.
  31. 31.Find the HCF of 40 and 25.
  32. 32.Find the LCM of 11, 12 and 6.
  33. 33.Find the LCM of 4, 8 and 12.
  34. 34.Find the LCM of 10, 4 and 6.
  35. 35.Find the LCM of 10, 8 and 5.
  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 25 and 20.
  38. 38.Find the LCM of 2, 8 and 10.
  39. 39.Find the LCM of 6 and 8.
  40. 40.Find the HCF of 55 and 22.

Answer key

  1. 40
  2. 4
  3. 32
  4. 20
  5. 224
  6. 9
  7. 8
  8. 156
  9. 11
  10. 42
  11. 5
  12. 13
  13. 15
  14. 10
  15. 14
  16. 10
  17. 84
  18. 7
  19. 20
  20. 15
  21. 132
  22. 6
  23. 21
  24. 14
  25. 84
  26. 72
  27. 24
  28. 30
  29. 180
  30. 6
  31. 5
  32. 132
  33. 24
  34. 60
  35. 40
  36. 10
  37. 5
  38. 40
  39. 24
  40. 11

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