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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 966 · 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 7, 4 and 5.
  2. 2.Find the LCM of 10, 2 and 5.
  3. 3.Find the HCF of 56 and 63.
  4. 4.Find the LCM of 2, 7 and 3.
  5. 5.Find the LCM of 54 and 12.
  6. 6.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  7. 7.Find the LCM of 4 and 6.
  8. 8.Find the LCM of 6 and 16.
  9. 9.Find the LCM of 12 and 8.
  10. 10.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  11. 11.Find the HCF of 30 and 12.
  12. 12.Find the HCF of 120 and 45.
  13. 13.Find the HCF of 56 and 40.
  14. 14.Find the LCM of 2, 13 and 3.
  15. 15.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  16. 16.Find the LCM of 3, 14 and 7.
  17. 17.Find the LCM of 3, 10 and 12.
  18. 18.Find the HCF of 35 and 25.
  19. 19.Find the HCF of 98 and 112.
  20. 20.Find the LCM of 5, 2 and 11.
  21. 21.Find the LCM of 12, 7 and 14.
  22. 22.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  23. 23.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  24. 24.Find the LCM of 32 and 28.
  25. 25.Find the LCM of 48 and 42.
  26. 26.Find the LCM of 3, 14 and 12.
  27. 27.Find the HCF of 20 and 35.
  28. 28.Find the HCF of 56 and 70.
  29. 29.Find the LCM of 6, 4 and 9.
  30. 30.Find the LCM of 6, 5 and 2.
  31. 31.Find the LCM of 14, 6 and 4.
  32. 32.Find the LCM of 30 and 24.
  33. 33.Find the LCM of 3, 12 and 8.
  34. 34.Find the LCM of 5 and 7.
  35. 35.Find the LCM of 12, 2 and 15.
  36. 36.Find the LCM of 3, 10 and 7.
  37. 37.Find the LCM of 9, 8 and 2.
  38. 38.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  39. 39.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  40. 40.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?

Answer key

  1. 140
  2. 10
  3. 7
  4. 42
  5. 108
  6. 24
  7. 12
  8. 48
  9. 24
  10. 45
  11. 6
  12. 15
  13. 8
  14. 78
  15. 20
  16. 42
  17. 60
  18. 5
  19. 14
  20. 110
  21. 84
  22. 27
  23. 72
  24. 224
  25. 336
  26. 84
  27. 5
  28. 14
  29. 36
  30. 30
  31. 84
  32. 120
  33. 24
  34. 35
  35. 60
  36. 210
  37. 72
  38. 32
  39. 15
  40. 36

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