← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 372 · 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 14.
  2. 2.Find the LCM of 9 and 8.
  3. 3.Find the LCM of 2, 8 and 11.
  4. 4.Find the LCM of 6, 14 and 4.
  5. 5.Find the HCF of 48 and 54.
  6. 6.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  7. 7.Find the LCM of 8, 3 and 7.
  8. 8.Find the LCM of 6 and 9.
  9. 9.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  10. 10.Find the HCF of 45 and 60.
  11. 11.Find the LCM of 3, 10 and 9.
  12. 12.Find the LCM of 15, 14 and 2.
  13. 13.Find the LCM of 6 and 21.
  14. 14.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  15. 15.Find the HCF of 10 and 15.
  16. 16.Find the HCF of 9 and 12.
  17. 17.Find the LCM of 15 and 40.
  18. 18.Find the HCF of 45 and 105.
  19. 19.Find the HCF of 64 and 24.
  20. 20.Find the HCF of 99 and 77.
  21. 21.Find the LCM of 12 and 18.
  22. 22.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  23. 23.Find the LCM of 14 and 16.
  24. 24.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  25. 25.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  26. 26.Find the LCM of 3, 6 and 14.
  27. 27.Find the LCM of 21 and 24.
  28. 28.Find the LCM of 14 and 10.
  29. 29.Find the LCM of 12 and 15.
  30. 30.Find the LCM of 11, 14 and 2.
  31. 31.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  32. 32.Find the HCF of 126 and 28.
  33. 33.Find the LCM of 35 and 25.
  34. 34.Find the LCM of 4, 14 and 2.
  35. 35.Find the HCF of 42 and 28.
  36. 36.Find the HCF of 84 and 24.
  37. 37.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  38. 38.Find the HCF of 12 and 10.
  39. 39.Find the LCM of 18 and 48.
  40. 40.Find the HCF of 32 and 36.

Answer key

  1. 140
  2. 72
  3. 88
  4. 84
  5. 6
  6. 35
  7. 168
  8. 18
  9. 63
  10. 15
  11. 90
  12. 210
  13. 42
  14. 10
  15. 5
  16. 3
  17. 120
  18. 15
  19. 8
  20. 11
  21. 36
  22. 18
  23. 112
  24. 45
  25. 14
  26. 42
  27. 168
  28. 70
  29. 60
  30. 154
  31. 28
  32. 14
  33. 175
  34. 28
  35. 14
  36. 12
  37. 21
  38. 2
  39. 144
  40. 4

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