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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 814 · 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, 15 and 10.
  2. 2.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  3. 3.Find the LCM of 11, 12 and 4.
  4. 4.Find the HCF of 27 and 21.
  5. 5.Find the LCM of 6 and 21.
  6. 6.Find the LCM of 4, 9 and 15.
  7. 7.Find the LCM of 14, 15 and 3.
  8. 8.Find the LCM of 3, 9 and 8.
  9. 9.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  10. 10.Find the HCF of 63 and 72.
  11. 11.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  12. 12.Find the HCF of 52 and 65.
  13. 13.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  14. 14.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  15. 15.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  16. 16.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  17. 17.Find the LCM of 30 and 18.
  18. 18.Find the HCF of 24 and 18.
  19. 19.Find the LCM of 5, 15 and 12.
  20. 20.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  21. 21.Find the HCF of 40 and 24.
  22. 22.Find the HCF of 75 and 105.
  23. 23.Find the LCM of 10 and 45.
  24. 24.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  25. 25.Find the LCM of 36 and 8.
  26. 26.Find the HCF of 35 and 10.
  27. 27.Find the LCM of 12 and 9.
  28. 28.Find the LCM of 15 and 21.
  29. 29.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  30. 30.Find the LCM of 2, 5 and 9.
  31. 31.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  32. 32.Find the LCM of 9 and 8.
  33. 33.Find the LCM of 8, 5 and 2.
  34. 34.Find the LCM of 12, 2 and 6.
  35. 35.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  36. 36.Find the LCM of 11, 3 and 6.
  37. 37.Find the HCF of 117 and 91.
  38. 38.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  39. 39.Find the LCM of 20 and 32.
  40. 40.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?

Answer key

  1. 60
  2. 36
  3. 132
  4. 3
  5. 42
  6. 180
  7. 210
  8. 72
  9. 20
  10. 9
  11. 56
  12. 13
  13. 21
  14. 16
  15. 20
  16. 28
  17. 90
  18. 6
  19. 60
  20. 81
  21. 8
  22. 15
  23. 90
  24. 18
  25. 72
  26. 5
  27. 36
  28. 105
  29. 48
  30. 90
  31. 54
  32. 72
  33. 40
  34. 12
  35. 36
  36. 66
  37. 13
  38. 35
  39. 160
  40. 30

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