← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 702 · 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 HCF of 88 and 33.
  3. 3.Find the LCM of 6 and 10.
  4. 4.Find the LCM of 11, 4 and 2.
  5. 5.Find the HCF of 15 and 24.
  6. 6.Find the HCF of 91 and 78.
  7. 7.Find the LCM of 14, 6 and 15.
  8. 8.Find the HCF of 18 and 42.
  9. 9.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  10. 10.Find the HCF of 112 and 98.
  11. 11.Find the LCM of 6, 2 and 14.
  12. 12.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  13. 13.Find the HCF of 49 and 28.
  14. 14.Find the HCF of 77 and 99.
  15. 15.Find the HCF of 22 and 99.
  16. 16.Find the LCM of 2, 10 and 13.
  17. 17.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  18. 18.Find the LCM of 11, 8 and 2.
  19. 19.Find the HCF of 45 and 10.
  20. 20.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  21. 21.Find the HCF of 21 and 14.
  22. 22.Find the HCF of 26 and 39.
  23. 23.Find the LCM of 3, 15 and 11.
  24. 24.Find the HCF of 6 and 9.
  25. 25.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  26. 26.Find the LCM of 14, 5 and 2.
  27. 27.Find the HCF of 25 and 20.
  28. 28.Find the LCM of 3, 15 and 10.
  29. 29.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  30. 30.Find the LCM of 6 and 15.
  31. 31.Find the HCF of 42 and 49.
  32. 32.Find the LCM of 2, 14 and 11.
  33. 33.Find the LCM of 3 and 4.
  34. 34.Find the HCF of 91 and 52.
  35. 35.Find the LCM of 7 and 2.
  36. 36.Find the LCM of 13, 7 and 2.
  37. 37.Find the LCM of 7, 15 and 6.
  38. 38.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  39. 39.Find the LCM of 18 and 12.
  40. 40.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?

Answer key

  1. 108
  2. 11
  3. 30
  4. 44
  5. 3
  6. 13
  7. 210
  8. 6
  9. 35
  10. 14
  11. 42
  12. 56
  13. 7
  14. 11
  15. 11
  16. 130
  17. 45
  18. 88
  19. 5
  20. 15
  21. 7
  22. 13
  23. 165
  24. 3
  25. 49
  26. 70
  27. 5
  28. 30
  29. 21
  30. 30
  31. 7
  32. 154
  33. 12
  34. 13
  35. 14
  36. 182
  37. 210
  38. 10
  39. 36
  40. 10

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