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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 873 · 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 16 and 36.
  2. 2.Find the LCM of 12 and 16.
  3. 3.Find the LCM of 15 and 20.
  4. 4.Find the LCM of 2, 6 and 14.
  5. 5.Find the LCM of 3, 7 and 10.
  6. 6.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  7. 7.Find the LCM of 15, 9 and 6.
  8. 8.Find the HCF of 91 and 117.
  9. 9.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  10. 10.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  11. 11.Find the LCM of 5 and 2.
  12. 12.Find the LCM of 6 and 8.
  13. 13.Find the LCM of 12, 6 and 8.
  14. 14.Find the HCF of 9 and 24.
  15. 15.Find the LCM of 5, 12 and 6.
  16. 16.Find the LCM of 9 and 6.
  17. 17.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  18. 18.Find the LCM of 3, 2 and 12.
  19. 19.Find the HCF of 64 and 40.
  20. 20.Find the LCM of 18 and 4.
  21. 21.Find the HCF of 15 and 9.
  22. 22.Find the HCF of 30 and 135.
  23. 23.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  24. 24.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  25. 25.Find the HCF of 10 and 16.
  26. 26.Find the LCM of 21 and 15.
  27. 27.Find the LCM of 15, 7 and 14.
  28. 28.Find the HCF of 8 and 18.
  29. 29.Find the HCF of 27 and 45.
  30. 30.Find the LCM of 42 and 54.
  31. 31.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  32. 32.Find the LCM of 8 and 20.
  33. 33.Find the HCF of 50 and 30.
  34. 34.Find the LCM of 28 and 36.
  35. 35.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  36. 36.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  37. 37.Find the HCF of 21 and 28.
  38. 38.Find the HCF of 45 and 60.
  39. 39.Find the LCM of 2, 5 and 7.
  40. 40.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?

Answer key

  1. 144
  2. 48
  3. 60
  4. 42
  5. 210
  6. 27
  7. 90
  8. 13
  9. 30
  10. 10
  11. 10
  12. 24
  13. 24
  14. 3
  15. 60
  16. 18
  17. 18
  18. 12
  19. 8
  20. 36
  21. 3
  22. 15
  23. 28
  24. 21
  25. 2
  26. 105
  27. 210
  28. 2
  29. 9
  30. 378
  31. 8
  32. 40
  33. 10
  34. 252
  35. 27
  36. 21
  37. 7
  38. 15
  39. 70
  40. 72

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