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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 812 · 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 15 and 27.
  2. 2.Find the HCF of 126 and 28.
  3. 3.Find the LCM of 10, 15 and 5.
  4. 4.Find the HCF of 40 and 90.
  5. 5.Find the LCM of 6 and 15.
  6. 6.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  7. 7.Find the LCM of 11, 2 and 4.
  8. 8.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  9. 9.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  10. 10.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  11. 11.Find the HCF of 36 and 27.
  12. 12.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  13. 13.Find the HCF of 45 and 40.
  14. 14.Find the HCF of 55 and 88.
  15. 15.Find the HCF of 70 and 112.
  16. 16.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  17. 17.Find the HCF of 63 and 18.
  18. 18.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  19. 19.Find the HCF of 24 and 36.
  20. 20.Find the LCM of 3, 13 and 6.
  21. 21.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  22. 22.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  23. 23.Find the HCF of 12 and 15.
  24. 24.Find the LCM of 8, 4 and 12.
  25. 25.Find the LCM of 2 and 7.
  26. 26.Find the LCM of 15, 8 and 6.
  27. 27.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  28. 28.Find the LCM of 9, 3 and 5.
  29. 29.Find the HCF of 30 and 50.
  30. 30.Find the LCM of 10, 15 and 6.
  31. 31.Find the HCF of 50 and 30.
  32. 32.Find the LCM of 3 and 2.
  33. 33.Find the LCM of 11, 4 and 10.
  34. 34.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  35. 35.Find the LCM of 6, 15 and 3.
  36. 36.Find the LCM of 6, 15 and 4.
  37. 37.Find the HCF of 28 and 20.
  38. 38.Find the LCM of 12 and 30.
  39. 39.Find the LCM of 12 and 32.
  40. 40.Find the LCM of 5, 4 and 6.

Answer key

  1. 135
  2. 14
  3. 30
  4. 10
  5. 30
  6. 28
  7. 44
  8. 28
  9. 12
  10. 6
  11. 9
  12. 40
  13. 5
  14. 11
  15. 14
  16. 9
  17. 9
  18. 14
  19. 12
  20. 78
  21. 35
  22. 18
  23. 3
  24. 24
  25. 14
  26. 120
  27. 35
  28. 45
  29. 10
  30. 30
  31. 10
  32. 6
  33. 220
  34. 20
  35. 30
  36. 60
  37. 4
  38. 60
  39. 96
  40. 60

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