← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 431 · 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 20 and 24.
  2. 2.Find the HCF of 36 and 63.
  3. 3.Find the LCM of 20 and 15.
  4. 4.Find the HCF of 78 and 65.
  5. 5.Find the HCF of 88 and 99.
  6. 6.Find the LCM of 7 and 5.
  7. 7.Find the HCF of 40 and 24.
  8. 8.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  9. 9.Find the LCM of 12 and 15.
  10. 10.Find the HCF of 6 and 8.
  11. 11.Find the LCM of 4, 8 and 10.
  12. 12.Find the HCF of 12 and 27.
  13. 13.Find the HCF of 56 and 63.
  14. 14.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  15. 15.Find the LCM of 9 and 6.
  16. 16.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  17. 17.Find the LCM of 42 and 30.
  18. 18.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  19. 19.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  20. 20.Find the HCF of 54 and 24.
  21. 21.Find the LCM of 14 and 6.
  22. 22.Find the LCM of 2, 12 and 3.
  23. 23.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  24. 24.Find the HCF of 55 and 33.
  25. 25.Find the HCF of 42 and 30.
  26. 26.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  27. 27.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  28. 28.Find the HCF of 16 and 14.
  29. 29.Find the LCM of 32 and 36.
  30. 30.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  31. 31.Find the HCF of 44 and 33.
  32. 32.Find the LCM of 14, 6 and 2.
  33. 33.Find the LCM of 12, 2 and 7.
  34. 34.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  35. 35.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  36. 36.Find the LCM of 9 and 2.
  37. 37.Find the LCM of 12 and 30.
  38. 38.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  39. 39.Find the LCM of 4, 15 and 5.
  40. 40.Find the LCM of 8, 2 and 9.

Answer key

  1. 120
  2. 9
  3. 60
  4. 13
  5. 11
  6. 35
  7. 8
  8. 18
  9. 60
  10. 2
  11. 40
  12. 3
  13. 7
  14. 64
  15. 18
  16. 14
  17. 210
  18. 10
  19. 27
  20. 6
  21. 42
  22. 12
  23. 25
  24. 11
  25. 6
  26. 18
  27. 25
  28. 2
  29. 288
  30. 49
  31. 11
  32. 42
  33. 84
  34. 72
  35. 9
  36. 18
  37. 60
  38. 35
  39. 60
  40. 72

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