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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 34 · 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.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  2. 2.Find the LCM of 54 and 12.
  3. 3.Find the LCM of 5 and 3.
  4. 4.Find the LCM of 42 and 48.
  5. 5.Find the HCF of 36 and 24.
  6. 6.Find the HCF of 105 and 45.
  7. 7.Find the HCF of 45 and 75.
  8. 8.Find the LCM of 4, 6 and 9.
  9. 9.Find the HCF of 35 and 25.
  10. 10.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  11. 11.Find the HCF of 64 and 56.
  12. 12.Find the HCF of 70 and 60.
  13. 13.Find the HCF of 9 and 21.
  14. 14.Find the HCF of 80 and 30.
  15. 15.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  16. 16.Find the LCM of 2, 8 and 7.
  17. 17.Find the LCM of 28 and 24.
  18. 18.Find the HCF of 14 and 6.
  19. 19.Find the HCF of 6 and 4.
  20. 20.Find the HCF of 21 and 6.
  21. 21.Find the LCM of 9, 4 and 3.
  22. 22.Find the HCF of 21 and 49.
  23. 23.Find the LCM of 6 and 7.
  24. 24.Find the LCM of 12, 2 and 4.
  25. 25.Find the LCM of 7 and 6.
  26. 26.Find the LCM of 42 and 30.
  27. 27.Find the HCF of 90 and 50.
  28. 28.Find the LCM of 9 and 12.
  29. 29.Find the LCM of 14, 3 and 12.
  30. 30.Find the HCF of 98 and 56.
  31. 31.Find the HCF of 42 and 24.
  32. 32.Find the LCM of 15, 2 and 7.
  33. 33.Find the LCM of 3, 9 and 2.
  34. 34.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  35. 35.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  36. 36.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  37. 37.Find the LCM of 24 and 54.
  38. 38.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  39. 39.Find the LCM of 7 and 2.
  40. 40.Find the LCM of 11, 8 and 2.

Answer key

  1. 30
  2. 108
  3. 15
  4. 336
  5. 12
  6. 15
  7. 15
  8. 36
  9. 5
  10. 36
  11. 8
  12. 10
  13. 3
  14. 10
  15. 15
  16. 56
  17. 168
  18. 2
  19. 2
  20. 3
  21. 36
  22. 7
  23. 42
  24. 12
  25. 42
  26. 210
  27. 10
  28. 36
  29. 84
  30. 14
  31. 6
  32. 210
  33. 18
  34. 10
  35. 18
  36. 56
  37. 216
  38. 21
  39. 14
  40. 88

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