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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 829 · 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 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  2. 2.Find the LCM of 12 and 16.
  3. 3.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  4. 4.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  5. 5.Find the LCM of 25 and 40.
  6. 6.Find the HCF of 16 and 40.
  7. 7.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  8. 8.Find the HCF of 45 and 30.
  9. 9.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  10. 10.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  11. 11.Find the LCM of 9, 3 and 4.
  12. 12.Find the LCM of 3, 10 and 4.
  13. 13.Find the LCM of 12, 11 and 4.
  14. 14.Find the LCM of 20 and 15.
  15. 15.Find the HCF of 49 and 28.
  16. 16.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  17. 17.Find the HCF of 77 and 88.
  18. 18.Find the LCM of 2, 5 and 6.
  19. 19.Find the LCM of 14, 10 and 4.
  20. 20.Find the LCM of 45 and 35.
  21. 21.Find the LCM of 6 and 15.
  22. 22.Find the HCF of 42 and 18.
  23. 23.Find the LCM of 14, 8 and 7.
  24. 24.Find the HCF of 24 and 9.
  25. 25.Find the HCF of 20 and 25.
  26. 26.Find the LCM of 12, 4 and 11.
  27. 27.Find the LCM of 6 and 10.
  28. 28.Find the LCM of 21 and 6.
  29. 29.Find the LCM of 8, 2 and 15.
  30. 30.Find the LCM of 4 and 18.
  31. 31.Find the HCF of 88 and 33.
  32. 32.Find the HCF of 40 and 24.
  33. 33.Find the HCF of 75 and 135.
  34. 34.Find the HCF of 12 and 15.
  35. 35.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  36. 36.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  37. 37.Find the LCM of 18 and 48.
  38. 38.Find the LCM of 14, 6 and 8.
  39. 39.Find the LCM of 2, 13 and 8.
  40. 40.Find the LCM of 6, 12 and 15.

Answer key

  1. 27
  2. 48
  3. 56
  4. 32
  5. 200
  6. 8
  7. 21
  8. 15
  9. 20
  10. 10
  11. 36
  12. 60
  13. 132
  14. 60
  15. 7
  16. 49
  17. 11
  18. 30
  19. 140
  20. 315
  21. 30
  22. 6
  23. 56
  24. 3
  25. 5
  26. 132
  27. 30
  28. 42
  29. 120
  30. 36
  31. 11
  32. 8
  33. 15
  34. 3
  35. 27
  36. 27
  37. 144
  38. 168
  39. 104
  40. 60

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