← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 720 · 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, 4 and 11.
  2. 2.Find the LCM of 5, 10 and 4.
  3. 3.Find the LCM of 8 and 36.
  4. 4.Find the HCF of 98 and 112.
  5. 5.Find the HCF of 88 and 55.
  6. 6.Find the LCM of 4, 12 and 14.
  7. 7.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  8. 8.Find the HCF of 28 and 42.
  9. 9.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  10. 10.Find the LCM of 12 and 27.
  11. 11.Find the HCF of 33 and 22.
  12. 12.Find the LCM of 5, 2 and 6.
  13. 13.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  14. 14.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  15. 15.Find the HCF of 63 and 18.
  16. 16.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  17. 17.Find the LCM of 3 and 4.
  18. 18.Find the LCM of 4, 14 and 3.
  19. 19.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  20. 20.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  21. 21.Find the HCF of 40 and 25.
  22. 22.Find the HCF of 20 and 15.
  23. 23.Find the LCM of 5, 9 and 10.
  24. 24.Find the LCM of 28 and 32.
  25. 25.Find the LCM of 14, 7 and 13.
  26. 26.Find the LCM of 7 and 3.
  27. 27.Find the LCM of 40 and 15.
  28. 28.Find the LCM of 5 and 2.
  29. 29.Find the LCM of 4 and 9.
  30. 30.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  31. 31.Find the LCM of 18 and 14.
  32. 32.Find the HCF of 10 and 12.
  33. 33.Find the LCM of 4 and 3.
  34. 34.Find the HCF of 18 and 63.
  35. 35.Find the LCM of 24 and 27.
  36. 36.Find the LCM of 18 and 15.
  37. 37.Find the LCM of 6 and 21.
  38. 38.Find the LCM of 8, 3 and 2.
  39. 39.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  40. 40.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?

Answer key

  1. 220
  2. 20
  3. 72
  4. 14
  5. 11
  6. 84
  7. 28
  8. 14
  9. 21
  10. 108
  11. 11
  12. 30
  13. 16
  14. 10
  15. 9
  16. 40
  17. 12
  18. 84
  19. 54
  20. 54
  21. 5
  22. 5
  23. 90
  24. 224
  25. 182
  26. 21
  27. 120
  28. 10
  29. 36
  30. 16
  31. 126
  32. 2
  33. 12
  34. 9
  35. 216
  36. 90
  37. 42
  38. 24
  39. 32
  40. 72

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