← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 602 · 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.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  2. 2.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  3. 3.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  4. 4.Find the LCM of 3, 4 and 14.
  5. 5.Find the HCF of 33 and 88.
  6. 6.Find the LCM of 8 and 12.
  7. 7.Find the LCM of 20 and 8.
  8. 8.Find the LCM of 2, 8 and 10.
  9. 9.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  10. 10.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  11. 11.Find the HCF of 36 and 8.
  12. 12.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  13. 13.Find the LCM of 4, 5 and 6.
  14. 14.Find the LCM of 2 and 5.
  15. 15.Find the LCM of 3, 4 and 15.
  16. 16.Find the LCM of 8, 13 and 2.
  17. 17.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  18. 18.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  19. 19.Find the HCF of 30 and 40.
  20. 20.Find the LCM of 3, 15 and 6.
  21. 21.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  22. 22.Find the LCM of 4 and 14.
  23. 23.Find the LCM of 8, 15 and 6.
  24. 24.Find the LCM of 5, 12 and 8.
  25. 25.Find the HCF of 56 and 98.
  26. 26.Find the LCM of 3, 11 and 9.
  27. 27.Find the LCM of 4, 10 and 12.
  28. 28.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  29. 29.Find the LCM of 48 and 54.
  30. 30.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  31. 31.Find the LCM of 12 and 10.
  32. 32.Find the HCF of 18 and 10.
  33. 33.Find the LCM of 5, 2 and 9.
  34. 34.Find the LCM of 7 and 3.
  35. 35.Find the LCM of 4, 14 and 3.
  36. 36.Find the HCF of 30 and 50.
  37. 37.Find the LCM of 4 and 7.
  38. 38.Find the LCM of 11, 15 and 3.
  39. 39.Find the LCM of 3, 14 and 9.
  40. 40.Find the LCM of 3 and 5.

Answer key

  1. 36
  2. 32
  3. 20
  4. 84
  5. 11
  6. 24
  7. 40
  8. 40
  9. 18
  10. 63
  11. 4
  12. 12
  13. 60
  14. 10
  15. 60
  16. 104
  17. 81
  18. 20
  19. 10
  20. 30
  21. 9
  22. 28
  23. 120
  24. 120
  25. 14
  26. 99
  27. 60
  28. 12
  29. 432
  30. 21
  31. 60
  32. 2
  33. 90
  34. 21
  35. 84
  36. 10
  37. 28
  38. 165
  39. 126
  40. 15

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