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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 142 · 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 10 and 25.
  2. 2.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  3. 3.Find the HCF of 12 and 27.
  4. 4.Find the LCM of 10 and 6.
  5. 5.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  6. 6.Find the LCM of 15, 4 and 12.
  7. 7.Find the LCM of 10 and 14.
  8. 8.Find the LCM of 45 and 35.
  9. 9.Find the LCM of 8 and 20.
  10. 10.Find the LCM of 4 and 18.
  11. 11.Find the LCM of 2, 10 and 4.
  12. 12.Find the HCF of 63 and 14.
  13. 13.Find the LCM of 4 and 5.
  14. 14.Find the HCF of 104 and 39.
  15. 15.Find the LCM of 54 and 30.
  16. 16.Find the LCM of 12 and 30.
  17. 17.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  18. 18.Find the HCF of 12 and 8.
  19. 19.Find the LCM of 21 and 9.
  20. 20.Find the LCM of 12 and 28.
  21. 21.Find the HCF of 45 and 72.
  22. 22.Find the LCM of 18 and 12.
  23. 23.Find the HCF of 54 and 63.
  24. 24.Find the HCF of 16 and 10.
  25. 25.Find the HCF of 56 and 126.
  26. 26.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  27. 27.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  28. 28.Find the LCM of 9, 14 and 7.
  29. 29.Find the LCM of 9, 12 and 10.
  30. 30.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  31. 31.Find the LCM of 2, 9 and 15.
  32. 32.Find the LCM of 13, 15 and 5.
  33. 33.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  34. 34.Find the LCM of 18 and 15.
  35. 35.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  36. 36.Find the LCM of 11, 14 and 7.
  37. 37.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  38. 38.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  39. 39.Find the LCM of 6, 10 and 4.
  40. 40.Find the HCF of 40 and 15.

Answer key

  1. 50
  2. 30
  3. 3
  4. 30
  5. 10
  6. 60
  7. 70
  8. 315
  9. 40
  10. 36
  11. 20
  12. 7
  13. 20
  14. 13
  15. 270
  16. 60
  17. 18
  18. 4
  19. 63
  20. 84
  21. 9
  22. 36
  23. 9
  24. 2
  25. 14
  26. 21
  27. 32
  28. 126
  29. 180
  30. 21
  31. 90
  32. 195
  33. 56
  34. 90
  35. 21
  36. 154
  37. 25
  38. 14
  39. 60
  40. 5

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