← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 729 · 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 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  2. 2.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  3. 3.Find the LCM of 20 and 32.
  4. 4.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  5. 5.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  6. 6.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  7. 7.Find the LCM of 8, 4 and 9.
  8. 8.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  9. 9.Find the HCF of 63 and 28.
  10. 10.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  11. 11.Find the LCM of 12, 3 and 9.
  12. 12.Find the LCM of 12, 4 and 2.
  13. 13.Find the LCM of 12, 9 and 4.
  14. 14.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  15. 15.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  16. 16.Find the LCM of 7, 3 and 6.
  17. 17.Find the LCM of 10, 14 and 2.
  18. 18.Find the HCF of 49 and 56.
  19. 19.Find the HCF of 50 and 30.
  20. 20.Find the LCM of 48 and 30.
  21. 21.Find the LCM of 15 and 25.
  22. 22.Find the LCM of 7 and 2.
  23. 23.Find the HCF of 44 and 55.
  24. 24.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  25. 25.Find the LCM of 15, 2 and 4.
  26. 26.Find the HCF of 40 and 35.
  27. 27.Find the HCF of 56 and 64.
  28. 28.Find the LCM of 6, 4 and 15.
  29. 29.Find the LCM of 12, 15 and 3.
  30. 30.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  31. 31.Find the LCM of 7, 8 and 2.
  32. 32.Find the HCF of 77 and 99.
  33. 33.Find the LCM of 7, 13 and 14.
  34. 34.Find the LCM of 8 and 12.
  35. 35.Find the HCF of 16 and 6.
  36. 36.Find the LCM of 5, 13 and 2.
  37. 37.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  38. 38.Find the LCM of 2, 6 and 3.
  39. 39.Find the LCM of 5, 7 and 2.
  40. 40.Find the LCM of 20 and 24.

Answer key

  1. 21
  2. 81
  3. 160
  4. 20
  5. 36
  6. 14
  7. 72
  8. 42
  9. 7
  10. 24
  11. 36
  12. 12
  13. 36
  14. 21
  15. 36
  16. 42
  17. 70
  18. 7
  19. 10
  20. 240
  21. 75
  22. 14
  23. 11
  24. 28
  25. 60
  26. 5
  27. 8
  28. 60
  29. 60
  30. 63
  31. 56
  32. 11
  33. 182
  34. 24
  35. 2
  36. 130
  37. 8
  38. 6
  39. 70
  40. 120

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