← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 220 · 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 48 and 42.
  2. 2.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  3. 3.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 36. What is the other number?
  4. 4.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  5. 5.Find the LCM of 5, 6 and 3.
  6. 6.Find the LCM of 15, 14 and 5.
  7. 7.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  8. 8.Find the HCF of 18 and 8.
  9. 9.Find the LCM of 4, 12 and 14.
  10. 10.Find the HCF of 21 and 12.
  11. 11.Find the LCM of 42 and 18.
  12. 12.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  13. 13.Find the HCF of 60 and 50.
  14. 14.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  15. 15.Find the LCM of 4 and 9.
  16. 16.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  17. 17.Find the LCM of 42 and 36.
  18. 18.Find the HCF of 105 and 45.
  19. 19.Find the LCM of 6 and 10.
  20. 20.Find the LCM of 21 and 15.
  21. 21.Find the HCF of 45 and 60.
  22. 22.Find the HCF of 30 and 35.
  23. 23.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  24. 24.Find the HCF of 56 and 64.
  25. 25.Find the LCM of 5, 3 and 10.
  26. 26.Find the LCM of 4, 8 and 11.
  27. 27.Find the HCF of 35 and 20.
  28. 28.Find the LCM of 3, 9 and 11.
  29. 29.Find the HCF of 63 and 49.
  30. 30.Find the LCM of 9, 3 and 5.
  31. 31.Find the LCM of 5, 8 and 4.
  32. 32.Find the LCM of 7, 8 and 6.
  33. 33.Find the HCF of 25 and 15.
  34. 34.Find the HCF of 56 and 98.
  35. 35.Find the HCF of 60 and 36.
  36. 36.Find the LCM of 3, 2 and 10.
  37. 37.Find the LCM of 6 and 5.
  38. 38.Find the LCM of 35 and 30.
  39. 39.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  40. 40.Find the LCM of 21 and 6.

Answer key

  1. 336
  2. 35
  3. 42
  4. 14
  5. 30
  6. 210
  7. 20
  8. 2
  9. 84
  10. 3
  11. 126
  12. 10
  13. 10
  14. 63
  15. 36
  16. 8
  17. 252
  18. 15
  19. 30
  20. 105
  21. 15
  22. 5
  23. 56
  24. 8
  25. 30
  26. 88
  27. 5
  28. 99
  29. 7
  30. 45
  31. 40
  32. 168
  33. 5
  34. 14
  35. 12
  36. 30
  37. 30
  38. 210
  39. 40
  40. 42

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