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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 238 · 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 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  2. 2.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  3. 3.Find the LCM of 12, 2 and 13.
  4. 4.Find the HCF of 56 and 63.
  5. 5.Find the LCM of 10 and 25.
  6. 6.Find the HCF of 135 and 60.
  7. 7.Find the HCF of 30 and 50.
  8. 8.Find the LCM of 6, 15 and 8.
  9. 9.Find the LCM of 4, 11 and 6.
  10. 10.Find the LCM of 8, 5 and 12.
  11. 11.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  12. 12.Find the HCF of 45 and 105.
  13. 13.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  14. 14.Find the LCM of 16 and 18.
  15. 15.Find the LCM of 10, 4 and 5.
  16. 16.Find the HCF of 28 and 20.
  17. 17.Find the LCM of 10, 15 and 4.
  18. 18.Find the HCF of 72 and 32.
  19. 19.Find the LCM of 5 and 4.
  20. 20.Find the LCM of 15 and 6.
  21. 21.Find the LCM of 15 and 12.
  22. 22.Find the LCM of 12 and 9.
  23. 23.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  24. 24.Find the LCM of 10 and 45.
  25. 25.Find the LCM of 5, 3 and 4.
  26. 26.Find the LCM of 12 and 8.
  27. 27.Find the LCM of 12, 7 and 4.
  28. 28.Find the HCF of 104 and 65.
  29. 29.Find the HCF of 28 and 12.
  30. 30.Find the LCM of 2 and 3.
  31. 31.Find the LCM of 15, 4 and 3.
  32. 32.Find the LCM of 4 and 18.
  33. 33.Find the HCF of 70 and 90.
  34. 34.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  35. 35.Find the LCM of 42 and 54.
  36. 36.Find the LCM of 12 and 42.
  37. 37.Find the HCF of 39 and 65.
  38. 38.Find the LCM of 4, 11 and 5.
  39. 39.Find the HCF of 35 and 20.
  40. 40.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?

Answer key

  1. 28
  2. 12
  3. 156
  4. 7
  5. 50
  6. 15
  7. 10
  8. 120
  9. 132
  10. 120
  11. 35
  12. 15
  13. 35
  14. 144
  15. 20
  16. 4
  17. 60
  18. 8
  19. 20
  20. 30
  21. 60
  22. 36
  23. 81
  24. 90
  25. 60
  26. 24
  27. 84
  28. 13
  29. 4
  30. 6
  31. 60
  32. 36
  33. 10
  34. 28
  35. 378
  36. 84
  37. 13
  38. 220
  39. 5
  40. 35

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