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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 871 · 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 14 and 8.
  2. 2.Find the LCM of 30 and 24.
  3. 3.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  4. 4.Find the LCM of 12, 2 and 5.
  5. 5.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  6. 6.Find the LCM of 20 and 25.
  7. 7.Find the HCF of 36 and 63.
  8. 8.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  9. 9.Find the HCF of 91 and 117.
  10. 10.Find the LCM of 5, 4 and 7.
  11. 11.Find the LCM of 15 and 12.
  12. 12.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  13. 13.Find the LCM of 14, 4 and 10.
  14. 14.Find the LCM of 10, 3 and 9.
  15. 15.Find the LCM of 6, 14 and 4.
  16. 16.Find the LCM of 28 and 12.
  17. 17.Find the LCM of 9 and 7.
  18. 18.Find the LCM of 3, 9 and 2.
  19. 19.Find the LCM of 6, 4 and 15.
  20. 20.Find the LCM of 7 and 4.
  21. 21.Find the LCM of 10, 6 and 9.
  22. 22.Find the HCF of 81 and 36.
  23. 23.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  24. 24.Find the LCM of 16 and 6.
  25. 25.Find the LCM of 16 and 10.
  26. 26.Find the HCF of 40 and 90.
  27. 27.Find the LCM of 2, 8 and 13.
  28. 28.Find the HCF of 24 and 108.
  29. 29.Find the HCF of 120 and 135.
  30. 30.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  31. 31.Find the LCM of 9 and 5.
  32. 32.Find the HCF of 52 and 91.
  33. 33.Find the LCM of 8, 5 and 15.
  34. 34.Find the HCF of 126 and 112.
  35. 35.Find the LCM of 12, 13 and 4.
  36. 36.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  37. 37.Find the LCM of 9 and 24.
  38. 38.Find the HCF of 4 and 18.
  39. 39.Find the HCF of 48 and 108.
  40. 40.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?

Answer key

  1. 56
  2. 120
  3. 45
  4. 60
  5. 25
  6. 100
  7. 9
  8. 45
  9. 13
  10. 140
  11. 60
  12. 36
  13. 140
  14. 90
  15. 84
  16. 84
  17. 63
  18. 18
  19. 60
  20. 28
  21. 90
  22. 9
  23. 27
  24. 48
  25. 80
  26. 10
  27. 104
  28. 12
  29. 15
  30. 81
  31. 45
  32. 13
  33. 120
  34. 14
  35. 156
  36. 28
  37. 72
  38. 2
  39. 12
  40. 72

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