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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 850 · 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 48 and 42.
  2. 2.Find the LCM of 18 and 30.
  3. 3.Find the HCF of 48 and 60.
  4. 4.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  5. 5.Find the LCM of 10, 15 and 2.
  6. 6.Find the LCM of 45 and 10.
  7. 7.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  8. 8.Find the LCM of 7, 10 and 5.
  9. 9.Find the LCM of 25 and 10.
  10. 10.Find the LCM of 6, 12 and 11.
  11. 11.Find the HCF of 16 and 36.
  12. 12.Find the HCF of 18 and 48.
  13. 13.Find the LCM of 18 and 12.
  14. 14.Find the HCF of 30 and 48.
  15. 15.Find the LCM of 9, 15 and 3.
  16. 16.Find the HCF of 50 and 30.
  17. 17.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  18. 18.Find the HCF of 35 and 49.
  19. 19.Find the LCM of 35 and 25.
  20. 20.Find the LCM of 5, 15 and 8.
  21. 21.Find the HCF of 98 and 126.
  22. 22.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  23. 23.Find the LCM of 7 and 5.
  24. 24.Find the LCM of 16 and 12.
  25. 25.Find the HCF of 75 and 30.
  26. 26.Find the HCF of 35 and 30.
  27. 27.Find the LCM of 3, 2 and 13.
  28. 28.Find the LCM of 6 and 21.
  29. 29.Find the LCM of 6, 14 and 4.
  30. 30.Find the HCF of 40 and 64.
  31. 31.Find the LCM of 15 and 40.
  32. 32.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  33. 33.Find the LCM of 5 and 6.
  34. 34.Find the LCM of 3, 8 and 10.
  35. 35.Find the LCM of 15, 9 and 2.
  36. 36.Find the HCF of 49 and 63.
  37. 37.Find the LCM of 7, 12 and 4.
  38. 38.Find the HCF of 28 and 12.
  39. 39.Find the LCM of 4, 10 and 8.
  40. 40.Find the LCM of 9, 2 and 11.

Answer key

  1. 336
  2. 90
  3. 12
  4. 40
  5. 30
  6. 90
  7. 32
  8. 70
  9. 50
  10. 132
  11. 4
  12. 6
  13. 36
  14. 6
  15. 45
  16. 10
  17. 14
  18. 7
  19. 175
  20. 120
  21. 14
  22. 21
  23. 35
  24. 48
  25. 15
  26. 5
  27. 78
  28. 42
  29. 84
  30. 8
  31. 120
  32. 21
  33. 30
  34. 120
  35. 90
  36. 7
  37. 84
  38. 4
  39. 40
  40. 198

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