← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 114 · 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 10, 9 and 12.
  2. 2.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  3. 3.Find the LCM of 12, 8 and 2.
  4. 4.Find the HCF of 18 and 30.
  5. 5.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  6. 6.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  7. 7.Find the LCM of 21 and 9.
  8. 8.Find the LCM of 16 and 20.
  9. 9.Find the LCM of 18 and 10.
  10. 10.Find the LCM of 14, 11 and 2.
  11. 11.Find the LCM of 10, 2 and 14.
  12. 12.Find the LCM of 10 and 15.
  13. 13.Find the HCF of 35 and 42.
  14. 14.Find the LCM of 5, 7 and 6.
  15. 15.Find the LCM of 5 and 4.
  16. 16.Find the LCM of 3, 4 and 15.
  17. 17.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  18. 18.Find the LCM of 5, 2 and 11.
  19. 19.Find the HCF of 30 and 40.
  20. 20.Find the LCM of 2, 8 and 13.
  21. 21.Find the LCM of 14, 10 and 4.
  22. 22.Find the HCF of 21 and 35.
  23. 23.Find the HCF of 42 and 70.
  24. 24.Find the LCM of 3, 5 and 11.
  25. 25.Find the LCM of 24 and 21.
  26. 26.Find the HCF of 104 and 91.
  27. 27.Find the LCM of 8 and 18.
  28. 28.Find the HCF of 32 and 12.
  29. 29.Find the LCM of 9 and 8.
  30. 30.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  31. 31.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  32. 32.Find the LCM of 5, 6 and 12.
  33. 33.Find the LCM of 4, 12 and 11.
  34. 34.Find the HCF of 25 and 45.
  35. 35.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  36. 36.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  37. 37.Find the LCM of 10 and 35.
  38. 38.Find the HCF of 66 and 55.
  39. 39.Find the HCF of 27 and 6.
  40. 40.Find the HCF of 45 and 27.

Answer key

  1. 180
  2. 54
  3. 24
  4. 6
  5. 63
  6. 6
  7. 63
  8. 80
  9. 90
  10. 154
  11. 70
  12. 30
  13. 7
  14. 210
  15. 20
  16. 60
  17. 16
  18. 110
  19. 10
  20. 104
  21. 140
  22. 7
  23. 14
  24. 165
  25. 168
  26. 13
  27. 72
  28. 4
  29. 72
  30. 45
  31. 12
  32. 60
  33. 132
  34. 5
  35. 64
  36. 18
  37. 70
  38. 11
  39. 3
  40. 9

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