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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 890 · 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 27 and 24.
  2. 2.Find the HCF of 40 and 35.
  3. 3.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  4. 4.Find the HCF of 36 and 30.
  5. 5.Find the HCF of 6 and 10.
  6. 6.Find the HCF of 117 and 65.
  7. 7.Find the HCF of 30 and 20.
  8. 8.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  9. 9.Find the LCM of 20 and 15.
  10. 10.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  11. 11.Find the LCM of 9, 3 and 10.
  12. 12.Find the LCM of 2 and 9.
  13. 13.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  14. 14.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  15. 15.Find the LCM of 18 and 16.
  16. 16.Find the LCM of 13, 3 and 5.
  17. 17.Find the LCM of 27 and 12.
  18. 18.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  19. 19.Find the HCF of 30 and 48.
  20. 20.Find the LCM of 3, 12 and 4.
  21. 21.Find the LCM of 15, 9 and 6.
  22. 22.Find the LCM of 45 and 20.
  23. 23.Find the LCM of 9 and 5.
  24. 24.Find the LCM of 9, 2 and 8.
  25. 25.Find the HCF of 40 and 50.
  26. 26.Find the HCF of 36 and 60.
  27. 27.Find the LCM of 36 and 42.
  28. 28.Find the LCM of 24 and 9.
  29. 29.Find the LCM of 5, 4 and 11.
  30. 30.Find the LCM of 5, 13 and 15.
  31. 31.Find the LCM of 11, 2 and 10.
  32. 32.Find the HCF of 15 and 9.
  33. 33.Find the LCM of 9 and 7.
  34. 34.Find the LCM of 12, 9 and 6.
  35. 35.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  36. 36.Find the LCM of 7, 4 and 2.
  37. 37.Find the HCF of 27 and 45.
  38. 38.Find the LCM of 6 and 14.
  39. 39.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  40. 40.Find the LCM of 5 and 8.

Answer key

  1. 216
  2. 5
  3. 42
  4. 6
  5. 2
  6. 13
  7. 10
  8. 35
  9. 60
  10. 9
  11. 90
  12. 18
  13. 16
  14. 40
  15. 144
  16. 195
  17. 108
  18. 35
  19. 6
  20. 12
  21. 90
  22. 180
  23. 45
  24. 72
  25. 10
  26. 12
  27. 252
  28. 72
  29. 220
  30. 195
  31. 110
  32. 3
  33. 63
  34. 36
  35. 24
  36. 28
  37. 9
  38. 42
  39. 14
  40. 40

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