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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 753 · 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 6 and 8.
  2. 2.Find the LCM of 14 and 12.
  3. 3.Find the HCF of 84 and 48.
  4. 4.Find the LCM of 4, 13 and 3.
  5. 5.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  6. 6.Find the LCM of 6 and 16.
  7. 7.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  8. 8.Find the LCM of 3, 4 and 8.
  9. 9.Find the LCM of 2, 8 and 13.
  10. 10.Find the LCM of 3, 5 and 11.
  11. 11.Find the LCM of 24 and 18.
  12. 12.Find the LCM of 10, 2 and 3.
  13. 13.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  14. 14.Find the HCF of 26 and 117.
  15. 15.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  16. 16.Find the HCF of 112 and 126.
  17. 17.Find the LCM of 15, 6 and 3.
  18. 18.Find the LCM of 15, 5 and 7.
  19. 19.Find the LCM of 21 and 18.
  20. 20.Find the HCF of 60 and 84.
  21. 21.Find the LCM of 5, 4 and 14.
  22. 22.Find the LCM of 6, 14 and 2.
  23. 23.Find the LCM of 5, 4 and 10.
  24. 24.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  25. 25.Find the LCM of 32 and 20.
  26. 26.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  27. 27.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  28. 28.Find the LCM of 4, 6 and 10.
  29. 29.Find the LCM of 5 and 4.
  30. 30.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  31. 31.Find the LCM of 7 and 2.
  32. 32.Find the LCM of 45 and 40.
  33. 33.Find the HCF of 56 and 24.
  34. 34.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  35. 35.Find the HCF of 135 and 30.
  36. 36.Find the HCF of 12 and 54.
  37. 37.Find the HCF of 18 and 45.
  38. 38.Find the LCM of 12, 9 and 5.
  39. 39.Find the LCM of 36 and 16.
  40. 40.Find the LCM of 7, 4 and 3.

Answer key

  1. 24
  2. 84
  3. 12
  4. 156
  5. 24
  6. 48
  7. 12
  8. 24
  9. 104
  10. 165
  11. 72
  12. 30
  13. 63
  14. 13
  15. 64
  16. 14
  17. 30
  18. 105
  19. 126
  20. 12
  21. 140
  22. 42
  23. 20
  24. 32
  25. 160
  26. 36
  27. 63
  28. 60
  29. 20
  30. 4
  31. 14
  32. 360
  33. 8
  34. 35
  35. 15
  36. 6
  37. 9
  38. 180
  39. 144
  40. 84

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