← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 570 · 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 12 and 14.
  2. 2.Find the LCM of 28 and 12.
  3. 3.Find the LCM of 8, 4 and 11.
  4. 4.Find the LCM of 5 and 2.
  5. 5.Find the LCM of 24 and 15.
  6. 6.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  7. 7.Find the LCM of 18 and 4.
  8. 8.Find the LCM of 7 and 5.
  9. 9.Find the HCF of 56 and 48.
  10. 10.Find the LCM of 28 and 24.
  11. 11.Find the LCM of 9 and 6.
  12. 12.Find the HCF of 135 and 60.
  13. 13.Find the LCM of 13, 9 and 6.
  14. 14.Find the HCF of 52 and 117.
  15. 15.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  16. 16.Find the LCM of 12, 13 and 2.
  17. 17.Find the HCF of 99 and 22.
  18. 18.Find the HCF of 10 and 6.
  19. 19.Find the HCF of 10 and 8.
  20. 20.Find the LCM of 14, 6 and 3.
  21. 21.Find the LCM of 7, 4 and 12.
  22. 22.Find the LCM of 24 and 30.
  23. 23.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  24. 24.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  25. 25.Find the LCM of 10 and 15.
  26. 26.Find the HCF of 10 and 35.
  27. 27.Find the HCF of 12 and 18.
  28. 28.Find the LCM of 4, 5 and 7.
  29. 29.Find the LCM of 3, 15 and 10.
  30. 30.Find the LCM of 11, 7 and 14.
  31. 31.Find the LCM of 10 and 4.
  32. 32.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  33. 33.Find the LCM of 36 and 28.
  34. 34.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  35. 35.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  36. 36.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  37. 37.Find the HCF of 98 and 112.
  38. 38.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  39. 39.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  40. 40.Find the LCM of 2, 6 and 5.

Answer key

  1. 84
  2. 84
  3. 88
  4. 10
  5. 120
  6. 12
  7. 36
  8. 35
  9. 8
  10. 168
  11. 18
  12. 15
  13. 234
  14. 13
  15. 63
  16. 156
  17. 11
  18. 2
  19. 2
  20. 42
  21. 84
  22. 120
  23. 45
  24. 6
  25. 30
  26. 5
  27. 6
  28. 140
  29. 30
  30. 154
  31. 20
  32. 35
  33. 252
  34. 35
  35. 35
  36. 42
  37. 14
  38. 42
  39. 18
  40. 30

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