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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 815 · 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, 3 and 2.
  2. 2.Find the LCM of 12, 9 and 10.
  3. 3.Find the LCM of 21 and 15.
  4. 4.Find the HCF of 30 and 45.
  5. 5.Find the LCM of 5, 4 and 7.
  6. 6.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  7. 7.Find the LCM of 6, 5 and 7.
  8. 8.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  9. 9.Find the HCF of 6 and 21.
  10. 10.Find the LCM of 21 and 12.
  11. 11.Find the HCF of 105 and 60.
  12. 12.Find the LCM of 45 and 40.
  13. 13.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  14. 14.Find the HCF of 105 and 120.
  15. 15.Find the HCF of 42 and 54.
  16. 16.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  17. 17.Find the HCF of 55 and 99.
  18. 18.Find the LCM of 12, 2 and 3.
  19. 19.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  20. 20.Find the LCM of 2, 3 and 4.
  21. 21.Find the LCM of 6 and 8.
  22. 22.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  23. 23.Find the LCM of 8 and 3.
  24. 24.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  25. 25.Find the LCM of 45 and 10.
  26. 26.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  27. 27.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  28. 28.Find the LCM of 15, 6 and 7.
  29. 29.Find the LCM of 3, 9 and 4.
  30. 30.Find the LCM of 12 and 10.
  31. 31.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  32. 32.Find the HCF of 18 and 21.
  33. 33.Find the LCM of 13, 2 and 4.
  34. 34.Find the HCF of 20 and 15.
  35. 35.Find the LCM of 4, 3 and 15.
  36. 36.Find the HCF of 30 and 36.
  37. 37.Find the HCF of 81 and 72.
  38. 38.Find the HCF of 10 and 35.
  39. 39.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  40. 40.Find the HCF of 18 and 14.

Answer key

  1. 12
  2. 180
  3. 105
  4. 15
  5. 140
  6. 45
  7. 210
  8. 49
  9. 3
  10. 84
  11. 15
  12. 360
  13. 30
  14. 15
  15. 6
  16. 32
  17. 11
  18. 12
  19. 10
  20. 12
  21. 24
  22. 27
  23. 24
  24. 8
  25. 90
  26. 12
  27. 18
  28. 210
  29. 36
  30. 60
  31. 45
  32. 3
  33. 52
  34. 5
  35. 60
  36. 6
  37. 9
  38. 5
  39. 72
  40. 2

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