← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 469 · 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 54 and 12.
  2. 2.Find the LCM of 12, 7 and 2.
  3. 3.Find the LCM of 2, 13 and 5.
  4. 4.Find the HCF of 16 and 40.
  5. 5.Find the LCM of 6, 15 and 9.
  6. 6.Find the LCM of 16 and 18.
  7. 7.Find the LCM of 5, 11 and 3.
  8. 8.Find the HCF of 56 and 63.
  9. 9.Find the LCM of 20 and 45.
  10. 10.Find the LCM of 27 and 24.
  11. 11.Find the LCM of 3 and 4.
  12. 12.Find the LCM of 9, 12 and 8.
  13. 13.Find the HCF of 50 and 40.
  14. 14.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  15. 15.Find the LCM of 15 and 9.
  16. 16.Find the LCM of 36 and 32.
  17. 17.Find the HCF of 39 and 104.
  18. 18.Find the HCF of 91 and 78.
  19. 19.Find the LCM of 12 and 21.
  20. 20.Find the LCM of 25 and 45.
  21. 21.Find the HCF of 33 and 44.
  22. 22.Find the LCM of 35 and 25.
  23. 23.Find the HCF of 105 and 75.
  24. 24.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  25. 25.Find the LCM of 4, 11 and 10.
  26. 26.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  27. 27.Find the LCM of 10, 6 and 14.
  28. 28.Find the LCM of 42 and 24.
  29. 29.Find the LCM of 2, 3 and 12.
  30. 30.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  31. 31.Find the HCF of 28 and 21.
  32. 32.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  33. 33.Find the LCM of 13, 3 and 12.
  34. 34.Find the LCM of 3 and 2.
  35. 35.Find the HCF of 24 and 9.
  36. 36.Find the HCF of 60 and 24.
  37. 37.Find the LCM of 14 and 18.
  38. 38.Find the LCM of 8 and 6.
  39. 39.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  40. 40.Find the LCM of 13, 10 and 5.

Answer key

  1. 108
  2. 84
  3. 130
  4. 8
  5. 90
  6. 144
  7. 165
  8. 7
  9. 180
  10. 216
  11. 12
  12. 72
  13. 10
  14. 48
  15. 45
  16. 288
  17. 13
  18. 13
  19. 84
  20. 225
  21. 11
  22. 175
  23. 15
  24. 16
  25. 220
  26. 12
  27. 210
  28. 168
  29. 12
  30. 21
  31. 7
  32. 64
  33. 156
  34. 6
  35. 3
  36. 12
  37. 126
  38. 24
  39. 45
  40. 130

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