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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 853 · 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.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  2. 2.Find the LCM of 9 and 2.
  3. 3.Find the LCM of 8, 9 and 3.
  4. 4.Find the LCM of 30 and 54.
  5. 5.Find the LCM of 24 and 18.
  6. 6.Find the LCM of 3, 14 and 2.
  7. 7.Find the LCM of 30 and 18.
  8. 8.Find the LCM of 30 and 12.
  9. 9.Find the HCF of 50 and 80.
  10. 10.Find the LCM of 20 and 45.
  11. 11.Find the HCF of 24 and 60.
  12. 12.Find the HCF of 24 and 64.
  13. 13.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  14. 14.Find the LCM of 12, 9 and 4.
  15. 15.Find the LCM of 4, 10 and 6.
  16. 16.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  17. 17.Find the LCM of 9, 2 and 14.
  18. 18.Find the LCM of 9 and 12.
  19. 19.Find the LCM of 21 and 6.
  20. 20.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  21. 21.Find the LCM of 8 and 5.
  22. 22.Find the HCF of 9 and 15.
  23. 23.Find the LCM of 8, 10 and 12.
  24. 24.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  25. 25.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  26. 26.Find the HCF of 72 and 16.
  27. 27.Find the HCF of 48 and 84.
  28. 28.Find the HCF of 14 and 63.
  29. 29.Find the HCF of 36 and 45.
  30. 30.Find the LCM of 32 and 20.
  31. 31.Find the HCF of 25 and 15.
  32. 32.Find the LCM of 6 and 27.
  33. 33.Find the HCF of 24 and 15.
  34. 34.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  35. 35.Find the LCM of 8, 6 and 4.
  36. 36.Find the LCM of 9, 2 and 4.
  37. 37.Find the HCF of 64 and 40.
  38. 38.Find the HCF of 105 and 90.
  39. 39.Find the LCM of 2 and 9.
  40. 40.Find the LCM of 4, 11 and 10.

Answer key

  1. 25
  2. 18
  3. 72
  4. 270
  5. 72
  6. 42
  7. 90
  8. 60
  9. 10
  10. 180
  11. 12
  12. 8
  13. 9
  14. 36
  15. 60
  16. 35
  17. 126
  18. 36
  19. 42
  20. 18
  21. 40
  22. 3
  23. 120
  24. 35
  25. 8
  26. 8
  27. 12
  28. 7
  29. 9
  30. 160
  31. 5
  32. 54
  33. 3
  34. 18
  35. 24
  36. 36
  37. 8
  38. 15
  39. 18
  40. 220

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