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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 766 · 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, 8 and 14.
  2. 2.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  3. 3.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  4. 4.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  5. 5.Find the HCF of 8 and 28.
  6. 6.Find the HCF of 77 and 66.
  7. 7.Find the HCF of 6 and 8.
  8. 8.Find the HCF of 55 and 33.
  9. 9.Find the LCM of 3 and 2.
  10. 10.Find the LCM of 8 and 20.
  11. 11.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  12. 12.Find the LCM of 3, 7 and 15.
  13. 13.Find the LCM of 9 and 15.
  14. 14.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  15. 15.Find the HCF of 6 and 27.
  16. 16.Find the HCF of 72 and 40.
  17. 17.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  18. 18.Find the HCF of 30 and 12.
  19. 19.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  20. 20.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  21. 21.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  22. 22.Find the LCM of 9, 11 and 2.
  23. 23.Find the LCM of 5 and 9.
  24. 24.Find the HCF of 60 and 24.
  25. 25.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  26. 26.Find the LCM of 35 and 15.
  27. 27.Find the LCM of 5 and 3.
  28. 28.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  29. 29.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  30. 30.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  31. 31.Find the LCM of 8, 12 and 6.
  32. 32.Find the LCM of 7, 12 and 3.
  33. 33.Find the HCF of 12 and 8.
  34. 34.Find the LCM of 10 and 6.
  35. 35.Find the HCF of 21 and 27.
  36. 36.Find the LCM of 10, 4 and 9.
  37. 37.Find the LCM of 12, 8 and 4.
  38. 38.Find the LCM of 45 and 10.
  39. 39.Find the HCF of 27 and 18.
  40. 40.Find the LCM of 27 and 12.

Answer key

  1. 168
  2. 10
  3. 20
  4. 35
  5. 4
  6. 11
  7. 2
  8. 11
  9. 6
  10. 40
  11. 28
  12. 105
  13. 45
  14. 40
  15. 3
  16. 8
  17. 15
  18. 6
  19. 27
  20. 20
  21. 6
  22. 198
  23. 45
  24. 12
  25. 10
  26. 105
  27. 15
  28. 27
  29. 20
  30. 8
  31. 24
  32. 84
  33. 4
  34. 30
  35. 3
  36. 180
  37. 24
  38. 90
  39. 9
  40. 108

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