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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 20 · 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 9, 6 and 13.
  2. 2.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  3. 3.Find the LCM of 9 and 15.
  4. 4.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  5. 5.Find the LCM of 10, 4 and 2.
  6. 6.Find the LCM of 20 and 16.
  7. 7.Find the HCF of 70 and 112.
  8. 8.Find the LCM of 36 and 32.
  9. 9.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  10. 10.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  11. 11.Find the HCF of 24 and 32.
  12. 12.Find the LCM of 7, 13 and 14.
  13. 13.Find the LCM of 4, 11 and 2.
  14. 14.Find the HCF of 56 and 35.
  15. 15.Find the LCM of 3, 8 and 15.
  16. 16.Find the LCM of 6, 12 and 11.
  17. 17.Find the HCF of 20 and 35.
  18. 18.Find the LCM of 18 and 12.
  19. 19.Find the LCM of 14 and 18.
  20. 20.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  21. 21.Find the HCF of 54 and 42.
  22. 22.Find the HCF of 12 and 28.
  23. 23.Find the LCM of 12 and 8.
  24. 24.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  25. 25.Find the LCM of 3, 15 and 8.
  26. 26.Find the LCM of 10, 14 and 15.
  27. 27.Find the HCF of 40 and 45.
  28. 28.Find the LCM of 15 and 12.
  29. 29.Find the HCF of 78 and 91.
  30. 30.Find the HCF of 91 and 78.
  31. 31.Find the LCM of 12 and 10.
  32. 32.Find the HCF of 40 and 15.
  33. 33.Find the LCM of 27 and 12.
  34. 34.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  35. 35.Find the LCM of 2, 3 and 8.
  36. 36.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  37. 37.Find the LCM of 8 and 20.
  38. 38.Find the LCM of 30 and 54.
  39. 39.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  40. 40.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?

Answer key

  1. 234
  2. 45
  3. 45
  4. 21
  5. 20
  6. 80
  7. 14
  8. 288
  9. 30
  10. 45
  11. 8
  12. 182
  13. 44
  14. 7
  15. 120
  16. 132
  17. 5
  18. 36
  19. 126
  20. 36
  21. 6
  22. 4
  23. 24
  24. 18
  25. 120
  26. 210
  27. 5
  28. 60
  29. 13
  30. 13
  31. 60
  32. 5
  33. 108
  34. 18
  35. 24
  36. 12
  37. 40
  38. 270
  39. 35
  40. 21

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