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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 975 · 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, 3 and 8.
  2. 2.Find the HCF of 65 and 26.
  3. 3.Find the LCM of 30 and 12.
  4. 4.Find the HCF of 126 and 56.
  5. 5.Find the HCF of 9 and 15.
  6. 6.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  7. 7.Find the LCM of 4, 6 and 9.
  8. 8.Find the LCM of 9, 5 and 6.
  9. 9.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  10. 10.Find the HCF of 42 and 112.
  11. 11.Find the LCM of 15 and 21.
  12. 12.Find the LCM of 2, 12 and 3.
  13. 13.Find the HCF of 27 and 24.
  14. 14.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  15. 15.Find the HCF of 28 and 36.
  16. 16.Find the LCM of 42 and 18.
  17. 17.Find the HCF of 30 and 48.
  18. 18.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  19. 19.Find the LCM of 15, 13 and 5.
  20. 20.Find the HCF of 21 and 35.
  21. 21.Find the LCM of 2 and 7.
  22. 22.Find the LCM of 10, 6 and 5.
  23. 23.Find the LCM of 14, 6 and 2.
  24. 24.Find the LCM of 4, 6 and 7.
  25. 25.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  26. 26.Find the LCM of 15, 4 and 5.
  27. 27.Find the HCF of 35 and 63.
  28. 28.Find the LCM of 10 and 15.
  29. 29.Find the LCM of 35 and 25.
  30. 30.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  31. 31.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  32. 32.Find the LCM of 5, 13 and 2.
  33. 33.Find the LCM of 10, 5 and 8.
  34. 34.Find the HCF of 40 and 90.
  35. 35.Find the HCF of 21 and 15.
  36. 36.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  37. 37.Find the LCM of 5 and 4.
  38. 38.Find the LCM of 42 and 12.
  39. 39.Find the HCF of 18 and 8.
  40. 40.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?

Answer key

  1. 24
  2. 13
  3. 60
  4. 14
  5. 3
  6. 18
  7. 36
  8. 90
  9. 8
  10. 14
  11. 105
  12. 12
  13. 3
  14. 32
  15. 4
  16. 126
  17. 6
  18. 12
  19. 195
  20. 7
  21. 14
  22. 30
  23. 42
  24. 84
  25. 28
  26. 60
  27. 7
  28. 30
  29. 175
  30. 14
  31. 20
  32. 130
  33. 40
  34. 10
  35. 3
  36. 28
  37. 20
  38. 84
  39. 2
  40. 18

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