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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 991 · 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 12 and 8.
  2. 2.Find the LCM of 30 and 12.
  3. 3.Find the LCM of 3, 2 and 15.
  4. 4.Find the LCM of 2, 3 and 8.
  5. 5.Find the HCF of 18 and 15.
  6. 6.Find the LCM of 3, 5 and 15.
  7. 7.Find the LCM of 9, 3 and 5.
  8. 8.Find the HCF of 24 and 60.
  9. 9.Find the HCF of 33 and 55.
  10. 10.Find the LCM of 6 and 21.
  11. 11.Find the HCF of 90 and 50.
  12. 12.Find the HCF of 35 and 10.
  13. 13.Find the LCM of 6, 14 and 3.
  14. 14.Find the LCM of 7, 2 and 14.
  15. 15.Find the LCM of 6 and 5.
  16. 16.Find the LCM of 12 and 15.
  17. 17.Find the LCM of 28 and 8.
  18. 18.Find the HCF of 72 and 56.
  19. 19.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  20. 20.Find the HCF of 45 and 27.
  21. 21.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  22. 22.Find the LCM of 8 and 36.
  23. 23.Find the LCM of 15 and 35.
  24. 24.Find the LCM of 45 and 40.
  25. 25.Find the LCM of 8, 15 and 5.
  26. 26.Find the LCM of 4, 2 and 3.
  27. 27.Find the LCM of 15, 12 and 2.
  28. 28.Find the LCM of 2 and 9.
  29. 29.Find the LCM of 20 and 15.
  30. 30.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  31. 31.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  32. 32.Find the HCF of 90 and 75.
  33. 33.Find the HCF of 42 and 35.
  34. 34.Find the LCM of 32 and 36.
  35. 35.Find the LCM of 6, 12 and 13.
  36. 36.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  37. 37.Find the HCF of 32 and 20.
  38. 38.Find the LCM of 13, 6 and 4.
  39. 39.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  40. 40.Find the HCF of 45 and 10.

Answer key

  1. 24
  2. 60
  3. 30
  4. 24
  5. 3
  6. 15
  7. 45
  8. 12
  9. 11
  10. 42
  11. 10
  12. 5
  13. 42
  14. 14
  15. 30
  16. 60
  17. 56
  18. 8
  19. 10
  20. 9
  21. 32
  22. 72
  23. 105
  24. 360
  25. 120
  26. 12
  27. 60
  28. 18
  29. 60
  30. 21
  31. 63
  32. 15
  33. 7
  34. 288
  35. 156
  36. 30
  37. 4
  38. 156
  39. 48
  40. 5

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