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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 765 · 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 144. One of the numbers is 16. What is the other number?
  2. 2.Find the LCM of 30 and 36.
  3. 3.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  4. 4.Find the HCF of 18 and 14.
  5. 5.Find the LCM of 10 and 45.
  6. 6.Find the LCM of 15 and 25.
  7. 7.Find the LCM of 4 and 18.
  8. 8.Find the HCF of 96 and 36.
  9. 9.Find the HCF of 16 and 10.
  10. 10.Find the HCF of 12 and 28.
  11. 11.Find the LCM of 6, 5 and 4.
  12. 12.Find the HCF of 25 and 10.
  13. 13.Find the LCM of 2, 7 and 12.
  14. 14.Find the HCF of 84 and 36.
  15. 15.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  16. 16.Find the LCM of 3, 11 and 9.
  17. 17.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  18. 18.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  19. 19.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  20. 20.Find the LCM of 45 and 20.
  21. 21.Find the HCF of 16 and 20.
  22. 22.Find the HCF of 99 and 77.
  23. 23.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  24. 24.Find the LCM of 3, 10 and 8.
  25. 25.Find the HCF of 18 and 12.
  26. 26.Find the HCF of 24 and 60.
  27. 27.Find the HCF of 90 and 80.
  28. 28.Find the LCM of 3, 2 and 9.
  29. 29.Find the HCF of 108 and 96.
  30. 30.Find the LCM of 14, 15 and 5.
  31. 31.Find the LCM of 30 and 25.
  32. 32.Find the LCM of 8, 5 and 4.
  33. 33.Find the LCM of 10, 15 and 6.
  34. 34.Find the LCM of 7, 8 and 3.
  35. 35.Find the LCM of 4, 2 and 8.
  36. 36.Find the LCM of 4, 6 and 7.
  37. 37.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  38. 38.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  39. 39.Find the LCM of 4, 10 and 11.
  40. 40.Find the LCM of 14 and 6.

Answer key

  1. 18
  2. 180
  3. 15
  4. 2
  5. 90
  6. 75
  7. 36
  8. 12
  9. 2
  10. 4
  11. 60
  12. 5
  13. 84
  14. 12
  15. 6
  16. 99
  17. 63
  18. 32
  19. 15
  20. 180
  21. 4
  22. 11
  23. 16
  24. 120
  25. 6
  26. 12
  27. 10
  28. 18
  29. 12
  30. 210
  31. 150
  32. 40
  33. 30
  34. 168
  35. 8
  36. 84
  37. 36
  38. 28
  39. 220
  40. 42

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