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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 888 · 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 48 and 30.
  2. 2.Find the LCM of 5 and 9.
  3. 3.Find the HCF of 36 and 42.
  4. 4.Find the HCF of 12 and 9.
  5. 5.Find the LCM of 8 and 6.
  6. 6.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  7. 7.Find the HCF of 42 and 18.
  8. 8.Find the HCF of 33 and 55.
  9. 9.Find the HCF of 72 and 45.
  10. 10.Find the LCM of 21 and 6.
  11. 11.Find the HCF of 98 and 28.
  12. 12.Find the LCM of 45 and 40.
  13. 13.Find the LCM of 36 and 28.
  14. 14.Find the LCM of 3 and 2.
  15. 15.Find the HCF of 25 and 40.
  16. 16.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  17. 17.Find the LCM of 5, 6 and 2.
  18. 18.Find the LCM of 4, 2 and 11.
  19. 19.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  20. 20.Find the LCM of 14, 7 and 5.
  21. 21.Find the HCF of 36 and 28.
  22. 22.Find the LCM of 2, 6 and 4.
  23. 23.Find the LCM of 10, 12 and 4.
  24. 24.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  25. 25.Find the HCF of 32 and 24.
  26. 26.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  27. 27.Find the LCM of 9 and 6.
  28. 28.Find the LCM of 15, 3 and 4.
  29. 29.Find the LCM of 14, 3 and 6.
  30. 30.Find the LCM of 3, 6 and 9.
  31. 31.Find the LCM of 9 and 2.
  32. 32.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  33. 33.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  34. 34.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  35. 35.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  36. 36.Find the HCF of 18 and 27.
  37. 37.Find the LCM of 7 and 3.
  38. 38.Find the LCM of 9, 5 and 15.
  39. 39.Find the LCM of 12, 10 and 8.
  40. 40.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?

Answer key

  1. 240
  2. 45
  3. 6
  4. 3
  5. 24
  6. 30
  7. 6
  8. 11
  9. 9
  10. 42
  11. 14
  12. 360
  13. 252
  14. 6
  15. 5
  16. 16
  17. 30
  18. 44
  19. 14
  20. 70
  21. 4
  22. 12
  23. 60
  24. 8
  25. 8
  26. 42
  27. 18
  28. 60
  29. 42
  30. 18
  31. 18
  32. 18
  33. 72
  34. 15
  35. 48
  36. 9
  37. 21
  38. 45
  39. 120
  40. 56

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