← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 912 · 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 30 and 48.
  2. 2.Find the HCF of 25 and 15.
  3. 3.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  4. 4.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  5. 5.Find the LCM of 9 and 15.
  6. 6.Find the LCM of 10 and 12.
  7. 7.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  8. 8.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  9. 9.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  10. 10.Find the LCM of 20 and 36.
  11. 11.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  12. 12.Find the HCF of 60 and 135.
  13. 13.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  14. 14.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  15. 15.Find the LCM of 4 and 5.
  16. 16.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  17. 17.Find the LCM of 18 and 21.
  18. 18.Find the LCM of 9, 5 and 4.
  19. 19.Find the HCF of 25 and 40.
  20. 20.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  21. 21.Find the HCF of 99 and 88.
  22. 22.Find the HCF of 60 and 45.
  23. 23.Find the HCF of 24 and 32.
  24. 24.Find the LCM of 4, 7 and 10.
  25. 25.Find the LCM of 15 and 18.
  26. 26.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  27. 27.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  28. 28.Find the HCF of 99 and 44.
  29. 29.Find the HCF of 8 and 18.
  30. 30.Find the LCM of 15, 14 and 10.
  31. 31.Find the HCF of 6 and 9.
  32. 32.Find the HCF of 70 and 126.
  33. 33.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  34. 34.Find the LCM of 12, 4 and 13.
  35. 35.Find the HCF of 12 and 8.
  36. 36.Find the LCM of 40 and 45.
  37. 37.Find the HCF of 81 and 63.
  38. 38.Find the HCF of 42 and 18.
  39. 39.Find the LCM of 18 and 42.
  40. 40.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?

Answer key

  1. 240
  2. 5
  3. 18
  4. 64
  5. 45
  6. 60
  7. 28
  8. 16
  9. 20
  10. 180
  11. 18
  12. 15
  13. 35
  14. 36
  15. 20
  16. 81
  17. 126
  18. 180
  19. 5
  20. 32
  21. 11
  22. 15
  23. 8
  24. 140
  25. 90
  26. 32
  27. 81
  28. 11
  29. 2
  30. 210
  31. 3
  32. 14
  33. 42
  34. 156
  35. 4
  36. 360
  37. 9
  38. 6
  39. 126
  40. 24

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