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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 904 · 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 16 and 18.
  2. 2.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  3. 3.Find the HCF of 36 and 63.
  4. 4.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  5. 5.Find the HCF of 75 and 90.
  6. 6.Find the HCF of 64 and 40.
  7. 7.Find the HCF of 30 and 40.
  8. 8.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  9. 9.Find the LCM of 54 and 24.
  10. 10.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  11. 11.Find the LCM of 54 and 12.
  12. 12.Find the HCF of 36 and 24.
  13. 13.Find the LCM of 10 and 4.
  14. 14.Find the LCM of 3, 10 and 12.
  15. 15.Find the HCF of 12 and 27.
  16. 16.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  17. 17.Find the LCM of 12, 2 and 10.
  18. 18.Find the HCF of 30 and 105.
  19. 19.Find the HCF of 30 and 36.
  20. 20.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  21. 21.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  22. 22.Find the LCM of 10, 9 and 12.
  23. 23.Find the HCF of 24 and 40.
  24. 24.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  25. 25.Find the LCM of 10 and 15.
  26. 26.Find the HCF of 70 and 50.
  27. 27.Find the HCF of 70 and 56.
  28. 28.Find the LCM of 8, 6 and 5.
  29. 29.Find the LCM of 42 and 48.
  30. 30.Find the LCM of 9, 4 and 12.
  31. 31.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  32. 32.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  33. 33.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  34. 34.Find the HCF of 10 and 14.
  35. 35.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  36. 36.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  37. 37.Find the HCF of 6 and 9.
  38. 38.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  39. 39.Find the LCM of 15 and 25.
  40. 40.Find the LCM of 3 and 5.

Answer key

  1. 144
  2. 28
  3. 9
  4. 25
  5. 15
  6. 8
  7. 10
  8. 16
  9. 216
  10. 81
  11. 108
  12. 12
  13. 20
  14. 60
  15. 3
  16. 15
  17. 60
  18. 15
  19. 6
  20. 63
  21. 6
  22. 180
  23. 8
  24. 42
  25. 30
  26. 10
  27. 14
  28. 120
  29. 336
  30. 36
  31. 8
  32. 42
  33. 12
  34. 2
  35. 8
  36. 42
  37. 3
  38. 9
  39. 75
  40. 15

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