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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 862 · 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 11, 2 and 10.
  2. 2.Find the HCF of 70 and 40.
  3. 3.Find the HCF of 78 and 91.
  4. 4.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  5. 5.Find the LCM of 28 and 8.
  6. 6.Find the LCM of 3, 4 and 14.
  7. 7.Find the LCM of 14, 9 and 7.
  8. 8.Find the HCF of 42 and 54.
  9. 9.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  10. 10.Find the LCM of 6, 4 and 8.
  11. 11.Find the LCM of 15 and 10.
  12. 12.Find the HCF of 98 and 112.
  13. 13.Find the LCM of 3, 9 and 10.
  14. 14.Find the HCF of 18 and 24.
  15. 15.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  16. 16.Find the HCF of 56 and 32.
  17. 17.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  18. 18.Find the LCM of 45 and 20.
  19. 19.Find the HCF of 63 and 28.
  20. 20.Find the HCF of 112 and 126.
  21. 21.Find the LCM of 6, 7 and 12.
  22. 22.Find the LCM of 7 and 5.
  23. 23.Find the LCM of 20 and 45.
  24. 24.Find the LCM of 5, 7 and 4.
  25. 25.Find the LCM of 7, 14 and 3.
  26. 26.Find the LCM of 10, 5 and 12.
  27. 27.Find the LCM of 9, 2 and 8.
  28. 28.Find the LCM of 14, 2 and 9.
  29. 29.Find the LCM of 9, 3 and 14.
  30. 30.Find the HCF of 21 and 9.
  31. 31.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  32. 32.Find the LCM of 9 and 12.
  33. 33.Find the HCF of 12 and 10.
  34. 34.Find the LCM of 48 and 18.
  35. 35.Find the HCF of 18 and 15.
  36. 36.Find the LCM of 11, 6 and 4.
  37. 37.Find the HCF of 45 and 30.
  38. 38.Find the HCF of 12 and 14.
  39. 39.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  40. 40.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?

Answer key

  1. 110
  2. 10
  3. 13
  4. 72
  5. 56
  6. 84
  7. 126
  8. 6
  9. 18
  10. 24
  11. 30
  12. 14
  13. 90
  14. 6
  15. 16
  16. 8
  17. 36
  18. 180
  19. 7
  20. 14
  21. 84
  22. 35
  23. 180
  24. 140
  25. 42
  26. 60
  27. 72
  28. 126
  29. 126
  30. 3
  31. 28
  32. 36
  33. 2
  34. 144
  35. 3
  36. 132
  37. 15
  38. 2
  39. 25
  40. 20

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