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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 845 · 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 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  2. 2.Find the LCM of 10, 7 and 14.
  3. 3.Find the LCM of 8, 10 and 5.
  4. 4.Find the HCF of 49 and 21.
  5. 5.Find the HCF of 48 and 30.
  6. 6.Find the HCF of 35 and 10.
  7. 7.Find the LCM of 6, 13 and 9.
  8. 8.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  9. 9.Find the LCM of 12, 10 and 9.
  10. 10.Find the LCM of 2, 7 and 5.
  11. 11.Find the HCF of 72 and 63.
  12. 12.Find the HCF of 75 and 60.
  13. 13.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  14. 14.Find the LCM of 5, 15 and 4.
  15. 15.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  16. 16.Find the HCF of 45 and 120.
  17. 17.Find the HCF of 30 and 36.
  18. 18.Find the HCF of 35 and 15.
  19. 19.Find the LCM of 5, 12 and 8.
  20. 20.Find the LCM of 14, 12 and 2.
  21. 21.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  22. 22.Find the HCF of 20 and 35.
  23. 23.Find the LCM of 9, 12 and 2.
  24. 24.Find the LCM of 7, 3 and 6.
  25. 25.Find the LCM of 9, 13 and 6.
  26. 26.Find the LCM of 36 and 16.
  27. 27.Find the LCM of 18 and 4.
  28. 28.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  29. 29.Find the LCM of 5, 12 and 2.
  30. 30.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  31. 31.Find the LCM of 48 and 30.
  32. 32.Find the HCF of 40 and 50.
  33. 33.Find the LCM of 24 and 18.
  34. 34.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  35. 35.Find the LCM of 12, 3 and 8.
  36. 36.Find the LCM of 2 and 5.
  37. 37.Find the HCF of 56 and 70.
  38. 38.Find the HCF of 50 and 80.
  39. 39.Find the LCM of 14 and 6.
  40. 40.Find the LCM of 4, 5 and 10.

Answer key

  1. 8
  2. 70
  3. 40
  4. 7
  5. 6
  6. 5
  7. 234
  8. 20
  9. 180
  10. 70
  11. 9
  12. 15
  13. 14
  14. 60
  15. 18
  16. 15
  17. 6
  18. 5
  19. 120
  20. 84
  21. 48
  22. 5
  23. 36
  24. 42
  25. 234
  26. 144
  27. 36
  28. 12
  29. 60
  30. 35
  31. 240
  32. 10
  33. 72
  34. 32
  35. 24
  36. 10
  37. 14
  38. 10
  39. 42
  40. 20

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