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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 37 · 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 7, 14 and 8.
  2. 2.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  3. 3.Find the LCM of 10, 4 and 8.
  4. 4.Find the HCF of 22 and 55.
  5. 5.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  6. 6.Find the LCM of 2 and 7.
  7. 7.Find the LCM of 36 and 8.
  8. 8.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  9. 9.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  10. 10.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  11. 11.Find the LCM of 25 and 45.
  12. 12.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  13. 13.Find the LCM of 2, 9 and 13.
  14. 14.Find the LCM of 2, 15 and 8.
  15. 15.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  16. 16.Find the HCF of 45 and 72.
  17. 17.Find the LCM of 15 and 35.
  18. 18.Find the HCF of 36 and 81.
  19. 19.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  20. 20.Find the HCF of 63 and 81.
  21. 21.Find the LCM of 16 and 6.
  22. 22.Find the HCF of 30 and 54.
  23. 23.Find the HCF of 15 and 10.
  24. 24.Find the LCM of 12 and 20.
  25. 25.Find the HCF of 120 and 105.
  26. 26.Find the LCM of 3, 12 and 6.
  27. 27.Find the HCF of 10 and 14.
  28. 28.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  29. 29.Find the HCF of 36 and 8.
  30. 30.Find the LCM of 5, 2 and 4.
  31. 31.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  32. 32.Find the LCM of 40 and 25.
  33. 33.Find the LCM of 2, 9 and 5.
  34. 34.Find the LCM of 6 and 16.
  35. 35.Find the LCM of 15, 8 and 2.
  36. 36.Find the LCM of 2, 11 and 6.
  37. 37.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  38. 38.Find the LCM of 3, 5 and 12.
  39. 39.Find the LCM of 28 and 16.
  40. 40.Find the LCM of 4 and 5.

Answer key

  1. 56
  2. 10
  3. 40
  4. 11
  5. 63
  6. 14
  7. 72
  8. 54
  9. 21
  10. 18
  11. 225
  12. 54
  13. 234
  14. 120
  15. 14
  16. 9
  17. 105
  18. 9
  19. 15
  20. 9
  21. 48
  22. 6
  23. 5
  24. 60
  25. 15
  26. 12
  27. 2
  28. 63
  29. 4
  30. 20
  31. 35
  32. 200
  33. 90
  34. 48
  35. 120
  36. 66
  37. 15
  38. 60
  39. 112
  40. 20

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