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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 184 · 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.

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  1. 1.Find the LCM of 15, 11 and 3.
  2. 2.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  3. 3.Find the LCM of 8, 7 and 2.
  4. 4.Find the HCF of 72 and 60.
  5. 5.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  6. 6.Find the LCM of 15, 14 and 3.
  7. 7.Find the HCF of 48 and 18.
  8. 8.Find the LCM of 15 and 12.
  9. 9.Find the LCM of 12 and 16.
  10. 10.Find the LCM of 18 and 30.
  11. 11.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  12. 12.Find the HCF of 88 and 99.
  13. 13.Find the LCM of 15 and 27.
  14. 14.Find the HCF of 15 and 27.
  15. 15.Find the LCM of 7 and 8.
  16. 16.Find the LCM of 12 and 42.
  17. 17.Find the HCF of 108 and 84.
  18. 18.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  19. 19.Find the LCM of 10 and 6.
  20. 20.Find the HCF of 30 and 105.
  21. 21.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  22. 22.Find the LCM of 18 and 16.
  23. 23.Find the HCF of 27 and 36.
  24. 24.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  25. 25.Find the HCF of 8 and 10.
  26. 26.Find the HCF of 49 and 35.
  27. 27.Find the LCM of 14, 2 and 12.
  28. 28.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  29. 29.Find the LCM of 4 and 18.
  30. 30.Find the HCF of 55 and 66.
  31. 31.Find the LCM of 15 and 40.
  32. 32.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  33. 33.Find the LCM of 10, 8 and 2.
  34. 34.Find the HCF of 48 and 108.
  35. 35.Find the HCF of 91 and 52.
  36. 36.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  37. 37.Find the LCM of 6, 9 and 13.
  38. 38.Find the LCM of 2, 3 and 5.
  39. 39.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  40. 40.Find the LCM of 10, 2 and 11.

Answer key

  1. 165
  2. 45
  3. 56
  4. 12
  5. 12
  6. 210
  7. 6
  8. 60
  9. 48
  10. 90
  11. 15
  12. 11
  13. 135
  14. 3
  15. 56
  16. 84
  17. 12
  18. 63
  19. 30
  20. 15
  21. 56
  22. 144
  23. 9
  24. 36
  25. 2
  26. 7
  27. 84
  28. 18
  29. 36
  30. 11
  31. 120
  32. 16
  33. 40
  34. 12
  35. 13
  36. 81
  37. 234
  38. 30
  39. 32
  40. 110

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