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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 748 · 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 5 and 8.
  2. 2.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  3. 3.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  4. 4.Find the HCF of 60 and 108.
  5. 5.Find the LCM of 14, 12 and 3.
  6. 6.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  7. 7.Find the LCM of 5 and 3.
  8. 8.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  9. 9.Find the LCM of 15, 6 and 14.
  10. 10.Find the LCM of 6, 4 and 12.
  11. 11.Find the HCF of 45 and 36.
  12. 12.Find the LCM of 16 and 12.
  13. 13.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  14. 14.Find the HCF of 56 and 126.
  15. 15.Find the LCM of 5, 2 and 7.
  16. 16.Find the LCM of 10 and 4.
  17. 17.Find the HCF of 10 and 25.
  18. 18.Find the LCM of 3, 4 and 12.
  19. 19.Find the LCM of 40 and 35.
  20. 20.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  21. 21.Find the LCM of 20 and 36.
  22. 22.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  23. 23.Find the LCM of 42 and 24.
  24. 24.Find the HCF of 28 and 32.
  25. 25.Find the LCM of 4, 5 and 11.
  26. 26.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  27. 27.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  28. 28.Find the LCM of 5, 12 and 4.
  29. 29.Find the LCM of 32 and 36.
  30. 30.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  31. 31.Find the LCM of 10 and 35.
  32. 32.Find the LCM of 18 and 24.
  33. 33.Find the LCM of 9 and 5.
  34. 34.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  35. 35.Find the HCF of 40 and 48.
  36. 36.Find the LCM of 2, 5 and 10.
  37. 37.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  38. 38.Find the LCM of 10 and 8.
  39. 39.Find the LCM of 6 and 10.
  40. 40.Find the HCF of 14 and 12.

Answer key

  1. 40
  2. 21
  3. 6
  4. 12
  5. 84
  6. 30
  7. 15
  8. 24
  9. 210
  10. 12
  11. 9
  12. 48
  13. 40
  14. 14
  15. 70
  16. 20
  17. 5
  18. 12
  19. 280
  20. 48
  21. 180
  22. 18
  23. 168
  24. 4
  25. 220
  26. 12
  27. 36
  28. 60
  29. 288
  30. 6
  31. 70
  32. 72
  33. 45
  34. 49
  35. 8
  36. 10
  37. 63
  38. 40
  39. 30
  40. 2

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