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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 216 · 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 12, 2 and 4.
  2. 2.Find the LCM of 9 and 7.
  3. 3.Find the HCF of 22 and 99.
  4. 4.Find the HCF of 20 and 24.
  5. 5.Find the LCM of 15 and 21.
  6. 6.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  7. 7.Find the HCF of 64 and 72.
  8. 8.Find the LCM of 36 and 32.
  9. 9.Find the HCF of 24 and 30.
  10. 10.Find the LCM of 2, 14 and 11.
  11. 11.Find the HCF of 64 and 40.
  12. 12.Find the HCF of 6 and 8.
  13. 13.Find the LCM of 20 and 8.
  14. 14.Find the LCM of 2, 5 and 6.
  15. 15.Find the LCM of 2, 3 and 4.
  16. 16.Find the LCM of 10 and 15.
  17. 17.Find the LCM of 3, 4 and 7.
  18. 18.Find the HCF of 35 and 45.
  19. 19.Find the HCF of 6 and 27.
  20. 20.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  21. 21.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  22. 22.Find the LCM of 12 and 15.
  23. 23.Find the LCM of 18 and 42.
  24. 24.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  25. 25.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  26. 26.Find the HCF of 75 and 90.
  27. 27.Find the HCF of 88 and 99.
  28. 28.Find the LCM of 6, 14 and 9.
  29. 29.Find the HCF of 66 and 77.
  30. 30.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  31. 31.Find the LCM of 10, 7 and 14.
  32. 32.Find the HCF of 63 and 54.
  33. 33.Find the LCM of 3, 12 and 7.
  34. 34.Find the LCM of 12 and 30.
  35. 35.Find the LCM of 2 and 3.
  36. 36.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  37. 37.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  38. 38.Find the HCF of 84 and 70.
  39. 39.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  40. 40.Find the LCM of 13, 9 and 3.

Answer key

  1. 12
  2. 63
  3. 11
  4. 4
  5. 105
  6. 14
  7. 8
  8. 288
  9. 6
  10. 154
  11. 8
  12. 2
  13. 40
  14. 30
  15. 12
  16. 30
  17. 84
  18. 5
  19. 3
  20. 36
  21. 12
  22. 60
  23. 126
  24. 72
  25. 45
  26. 15
  27. 11
  28. 126
  29. 11
  30. 15
  31. 70
  32. 9
  33. 84
  34. 60
  35. 6
  36. 10
  37. 24
  38. 14
  39. 18
  40. 117

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