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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 261 · 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 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  2. 2.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  3. 3.Find the LCM of 8, 2 and 5.
  4. 4.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  5. 5.Find the HCF of 12 and 32.
  6. 6.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  7. 7.Find the LCM of 14, 3 and 10.
  8. 8.Find the LCM of 9, 8 and 2.
  9. 9.Find the LCM of 3 and 7.
  10. 10.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  11. 11.Find the HCF of 60 and 75.
  12. 12.Find the HCF of 25 and 20.
  13. 13.Find the LCM of 2, 14 and 6.
  14. 14.Find the HCF of 56 and 24.
  15. 15.Find the LCM of 5 and 7.
  16. 16.Find the LCM of 15, 9 and 2.
  17. 17.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  18. 18.Find the LCM of 3, 15 and 11.
  19. 19.Find the HCF of 18 and 30.
  20. 20.Find the LCM of 30 and 18.
  21. 21.Find the HCF of 30 and 70.
  22. 22.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  23. 23.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  24. 24.Find the LCM of 14, 2 and 5.
  25. 25.Find the LCM of 5, 12 and 15.
  26. 26.Find the HCF of 45 and 10.
  27. 27.Find the HCF of 88 and 33.
  28. 28.Find the LCM of 21 and 6.
  29. 29.Find the LCM of 4, 6 and 3.
  30. 30.Find the LCM of 8, 3 and 9.
  31. 31.Find the LCM of 4, 2 and 5.
  32. 32.Find the HCF of 14 and 16.
  33. 33.Find the LCM of 18 and 48.
  34. 34.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  35. 35.Find the LCM of 40 and 25.
  36. 36.Find the HCF of 35 and 30.
  37. 37.Find the LCM of 3, 5 and 8.
  38. 38.Find the LCM of 9 and 24.
  39. 39.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  40. 40.Find the LCM of 25 and 35.

Answer key

  1. 8
  2. 36
  3. 40
  4. 56
  5. 4
  6. 35
  7. 210
  8. 72
  9. 21
  10. 64
  11. 15
  12. 5
  13. 42
  14. 8
  15. 35
  16. 90
  17. 40
  18. 165
  19. 6
  20. 90
  21. 10
  22. 12
  23. 36
  24. 70
  25. 60
  26. 5
  27. 11
  28. 42
  29. 12
  30. 72
  31. 20
  32. 2
  33. 144
  34. 9
  35. 200
  36. 5
  37. 120
  38. 72
  39. 15
  40. 175

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