← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 944 · 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 7 and 2.
  2. 2.Find the LCM of 14 and 8.
  3. 3.Find the LCM of 11, 12 and 2.
  4. 4.Find the LCM of 5, 8 and 6.
  5. 5.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  6. 6.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  7. 7.Find the LCM of 2, 11 and 9.
  8. 8.Find the LCM of 10, 9 and 12.
  9. 9.Find the LCM of 2, 13 and 6.
  10. 10.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  11. 11.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  12. 12.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  13. 13.Find the LCM of 45 and 25.
  14. 14.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  15. 15.Find the LCM of 7, 2 and 13.
  16. 16.Find the HCF of 80 and 70.
  17. 17.Find the HCF of 45 and 27.
  18. 18.Find the HCF of 9 and 6.
  19. 19.Find the HCF of 90 and 80.
  20. 20.Find the LCM of 20 and 16.
  21. 21.Find the HCF of 24 and 56.
  22. 22.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  23. 23.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  24. 24.Find the LCM of 6 and 14.
  25. 25.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  26. 26.Find the LCM of 21 and 6.
  27. 27.Find the LCM of 8, 5 and 3.
  28. 28.Find the LCM of 21 and 12.
  29. 29.Find the LCM of 4, 15 and 10.
  30. 30.Find the HCF of 24 and 28.
  31. 31.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  32. 32.Find the LCM of 9, 2 and 6.
  33. 33.Find the LCM of 12 and 32.
  34. 34.Find the LCM of 12, 4 and 13.
  35. 35.Find the LCM of 15, 2 and 12.
  36. 36.Find the HCF of 45 and 10.
  37. 37.Find the LCM of 20 and 25.
  38. 38.Find the HCF of 84 and 60.
  39. 39.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  40. 40.Find the LCM of 15 and 10.

Answer key

  1. 14
  2. 56
  3. 132
  4. 120
  5. 81
  6. 21
  7. 198
  8. 180
  9. 78
  10. 25
  11. 28
  12. 14
  13. 225
  14. 49
  15. 182
  16. 10
  17. 9
  18. 3
  19. 10
  20. 80
  21. 8
  22. 20
  23. 54
  24. 42
  25. 16
  26. 42
  27. 120
  28. 84
  29. 60
  30. 4
  31. 14
  32. 18
  33. 96
  34. 156
  35. 60
  36. 5
  37. 100
  38. 12
  39. 6
  40. 30

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