← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 127 · 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 27 and 12.
  2. 2.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  3. 3.Find the HCF of 10 and 16.
  4. 4.Find the HCF of 21 and 14.
  5. 5.Find the HCF of 8 and 6.
  6. 6.Find the HCF of 10 and 12.
  7. 7.Find the LCM of 8 and 3.
  8. 8.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  9. 9.Find the HCF of 126 and 112.
  10. 10.Find the HCF of 84 and 48.
  11. 11.Find the LCM of 10 and 25.
  12. 12.Find the LCM of 3 and 5.
  13. 13.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  14. 14.Find the LCM of 30 and 25.
  15. 15.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  16. 16.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  17. 17.Find the HCF of 30 and 18.
  18. 18.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  19. 19.Find the HCF of 75 and 135.
  20. 20.Find the LCM of 32 and 28.
  21. 21.Find the HCF of 84 and 60.
  22. 22.Find the LCM of 15 and 18.
  23. 23.Find the HCF of 30 and 54.
  24. 24.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  25. 25.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  26. 26.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  27. 27.Find the LCM of 21 and 15.
  28. 28.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  29. 29.Find the LCM of 13, 9 and 6.
  30. 30.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  31. 31.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  32. 32.Find the LCM of 21 and 9.
  33. 33.Find the LCM of 4, 13 and 3.
  34. 34.Find the HCF of 99 and 55.
  35. 35.Find the LCM of 9 and 21.
  36. 36.Find the LCM of 4, 14 and 3.
  37. 37.Find the LCM of 4 and 3.
  38. 38.Find the HCF of 39 and 104.
  39. 39.Find the HCF of 8 and 36.
  40. 40.Find the HCF of 112 and 42.

Answer key

  1. 108
  2. 63
  3. 2
  4. 7
  5. 2
  6. 2
  7. 24
  8. 49
  9. 14
  10. 12
  11. 50
  12. 15
  13. 12
  14. 150
  15. 20
  16. 9
  17. 6
  18. 32
  19. 15
  20. 224
  21. 12
  22. 90
  23. 6
  24. 14
  25. 10
  26. 10
  27. 105
  28. 54
  29. 234
  30. 21
  31. 14
  32. 63
  33. 156
  34. 11
  35. 63
  36. 84
  37. 12
  38. 13
  39. 4
  40. 14

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