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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 643 · 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 HCF of 10 and 12.
  2. 2.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  3. 3.Find the LCM of 12, 6 and 9.
  4. 4.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  5. 5.Find the LCM of 15, 10 and 7.
  6. 6.Find the LCM of 6 and 8.
  7. 7.Find the LCM of 13, 6 and 9.
  8. 8.Find the HCF of 14 and 4.
  9. 9.Find the HCF of 24 and 64.
  10. 10.Find the LCM of 16 and 36.
  11. 11.Find the LCM of 54 and 42.
  12. 12.Find the LCM of 3, 14 and 5.
  13. 13.Find the LCM of 3, 6 and 13.
  14. 14.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  15. 15.Find the LCM of 6 and 4.
  16. 16.Find the HCF of 10 and 15.
  17. 17.Find the HCF of 26 and 65.
  18. 18.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  19. 19.Find the LCM of 16 and 18.
  20. 20.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  21. 21.Find the LCM of 21 and 12.
  22. 22.Find the LCM of 7, 3 and 15.
  23. 23.Find the LCM of 10, 5 and 11.
  24. 24.Find the LCM of 24 and 15.
  25. 25.Find the HCF of 99 and 77.
  26. 26.Find the LCM of 4, 10 and 6.
  27. 27.Find the HCF of 36 and 81.
  28. 28.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  29. 29.Find the LCM of 10 and 25.
  30. 30.Find the LCM of 4 and 7.
  31. 31.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  32. 32.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  33. 33.Find the LCM of 30 and 25.
  34. 34.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  35. 35.Find the LCM of 42 and 12.
  36. 36.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  37. 37.Find the LCM of 3 and 2.
  38. 38.Find the HCF of 91 and 52.
  39. 39.Find the LCM of 7 and 3.
  40. 40.Find the LCM of 10, 4 and 9.

Answer key

  1. 2
  2. 4
  3. 36
  4. 35
  5. 210
  6. 24
  7. 234
  8. 2
  9. 8
  10. 144
  11. 378
  12. 210
  13. 78
  14. 8
  15. 12
  16. 5
  17. 13
  18. 10
  19. 144
  20. 24
  21. 84
  22. 105
  23. 110
  24. 120
  25. 11
  26. 60
  27. 9
  28. 16
  29. 50
  30. 28
  31. 63
  32. 48
  33. 150
  34. 21
  35. 84
  36. 10
  37. 6
  38. 13
  39. 21
  40. 180

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