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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 447 · 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 45 and 20.
  2. 2.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  3. 3.Find the LCM of 12, 15 and 2.
  4. 4.Find the LCM of 16 and 6.
  5. 5.Find the LCM of 6, 15 and 2.
  6. 6.Find the LCM of 5 and 2.
  7. 7.Find the LCM of 24 and 9.
  8. 8.Find the HCF of 99 and 22.
  9. 9.Find the LCM of 8 and 7.
  10. 10.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  11. 11.Find the LCM of 40 and 25.
  12. 12.Find the LCM of 14, 9 and 2.
  13. 13.Find the HCF of 40 and 48.
  14. 14.Find the LCM of 9, 6 and 4.
  15. 15.Find the LCM of 15 and 21.
  16. 16.Find the HCF of 28 and 36.
  17. 17.Find the HCF of 88 and 55.
  18. 18.Find the HCF of 30 and 75.
  19. 19.Find the LCM of 9, 8 and 3.
  20. 20.Find the LCM of 7 and 3.
  21. 21.Find the HCF of 36 and 45.
  22. 22.Find the LCM of 6, 7 and 9.
  23. 23.Find the LCM of 28 and 24.
  24. 24.Find the HCF of 12 and 15.
  25. 25.Find the LCM of 12, 2 and 6.
  26. 26.Find the HCF of 81 and 45.
  27. 27.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  28. 28.Find the LCM of 20 and 8.
  29. 29.Find the HCF of 35 and 28.
  30. 30.Find the LCM of 10 and 4.
  31. 31.Find the LCM of 42 and 12.
  32. 32.Find the HCF of 56 and 70.
  33. 33.Find the LCM of 3, 15 and 5.
  34. 34.Find the LCM of 4, 2 and 14.
  35. 35.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  36. 36.Find the LCM of 4, 2 and 7.
  37. 37.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  38. 38.Find the HCF of 45 and 40.
  39. 39.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  40. 40.Find the LCM of 6 and 15.

Answer key

  1. 180
  2. 24
  3. 60
  4. 48
  5. 30
  6. 10
  7. 72
  8. 11
  9. 56
  10. 14
  11. 200
  12. 126
  13. 8
  14. 36
  15. 105
  16. 4
  17. 11
  18. 15
  19. 72
  20. 21
  21. 9
  22. 126
  23. 168
  24. 3
  25. 12
  26. 9
  27. 8
  28. 40
  29. 7
  30. 20
  31. 84
  32. 14
  33. 15
  34. 28
  35. 10
  36. 28
  37. 45
  38. 5
  39. 56
  40. 30

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