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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 711 · 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 18 and 10.
  2. 2.Find the LCM of 18 and 30.
  3. 3.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  4. 4.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  5. 5.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  6. 6.Find the LCM of 20 and 15.
  7. 7.Find the HCF of 49 and 35.
  8. 8.Find the HCF of 70 and 98.
  9. 9.Find the HCF of 88 and 99.
  10. 10.Find the HCF of 8 and 28.
  11. 11.Find the LCM of 9, 15 and 3.
  12. 12.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  13. 13.Find the LCM of 16 and 6.
  14. 14.Find the HCF of 12 and 30.
  15. 15.Find the LCM of 18 and 4.
  16. 16.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  17. 17.Find the LCM of 4 and 9.
  18. 18.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  19. 19.Find the HCF of 63 and 18.
  20. 20.Find the LCM of 2 and 7.
  21. 21.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  22. 22.Find the LCM of 9 and 12.
  23. 23.Find the LCM of 7 and 5.
  24. 24.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  25. 25.Find the HCF of 14 and 12.
  26. 26.Find the LCM of 2 and 5.
  27. 27.Find the LCM of 36 and 20.
  28. 28.Find the HCF of 18 and 8.
  29. 29.Find the HCF of 10 and 15.
  30. 30.Find the HCF of 72 and 27.
  31. 31.Find the HCF of 40 and 56.
  32. 32.Find the HCF of 45 and 35.
  33. 33.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  34. 34.Find the HCF of 28 and 8.
  35. 35.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  36. 36.Find the HCF of 42 and 24.
  37. 37.Find the HCF of 81 and 72.
  38. 38.Find the LCM of 2, 13 and 3.
  39. 39.Find the LCM of 8 and 10.
  40. 40.Find the LCM of 54 and 12.

Answer key

  1. 90
  2. 90
  3. 40
  4. 27
  5. 72
  6. 60
  7. 7
  8. 14
  9. 11
  10. 4
  11. 45
  12. 35
  13. 48
  14. 6
  15. 36
  16. 12
  17. 36
  18. 54
  19. 9
  20. 14
  21. 12
  22. 36
  23. 35
  24. 12
  25. 2
  26. 10
  27. 180
  28. 2
  29. 5
  30. 9
  31. 8
  32. 5
  33. 8
  34. 4
  35. 8
  36. 6
  37. 9
  38. 78
  39. 40
  40. 108

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