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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 763 · 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 27 and 21.
  2. 2.Find the HCF of 35 and 40.
  3. 3.Find the LCM of 3, 12 and 13.
  4. 4.Find the LCM of 4, 6 and 5.
  5. 5.Find the LCM of 14 and 18.
  6. 6.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  7. 7.Find the LCM of 10, 4 and 9.
  8. 8.Find the LCM of 3, 12 and 7.
  9. 9.Find the LCM of 18 and 14.
  10. 10.Find the LCM of 15, 8 and 4.
  11. 11.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  12. 12.Find the LCM of 15, 12 and 4.
  13. 13.Find the LCM of 27 and 6.
  14. 14.Find the HCF of 27 and 21.
  15. 15.Find the LCM of 12, 2 and 6.
  16. 16.Find the LCM of 8 and 14.
  17. 17.Find the LCM of 13, 3 and 12.
  18. 18.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  19. 19.Find the HCF of 10 and 6.
  20. 20.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  21. 21.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  22. 22.Find the HCF of 36 and 27.
  23. 23.Find the LCM of 48 and 42.
  24. 24.Find the LCM of 16 and 28.
  25. 25.Find the LCM of 24 and 42.
  26. 26.Find the LCM of 12 and 54.
  27. 27.Find the HCF of 12 and 20.
  28. 28.Find the HCF of 20 and 25.
  29. 29.Find the LCM of 35 and 20.
  30. 30.Find the LCM of 4, 10 and 6.
  31. 31.Find the LCM of 2, 6 and 3.
  32. 32.Find the LCM of 2 and 7.
  33. 33.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  34. 34.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  35. 35.Find the HCF of 39 and 26.
  36. 36.Find the LCM of 20 and 16.
  37. 37.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  38. 38.Find the HCF of 56 and 98.
  39. 39.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  40. 40.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?

Answer key

  1. 189
  2. 5
  3. 156
  4. 60
  5. 126
  6. 45
  7. 180
  8. 84
  9. 126
  10. 120
  11. 12
  12. 60
  13. 54
  14. 3
  15. 12
  16. 56
  17. 156
  18. 16
  19. 2
  20. 21
  21. 25
  22. 9
  23. 336
  24. 112
  25. 168
  26. 108
  27. 4
  28. 5
  29. 140
  30. 60
  31. 6
  32. 14
  33. 4
  34. 12
  35. 13
  36. 80
  37. 54
  38. 14
  39. 10
  40. 16

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