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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 444 · 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 6, 11 and 4.
  2. 2.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  3. 3.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  4. 4.Find the LCM of 28 and 32.
  5. 5.Find the LCM of 54 and 42.
  6. 6.Find the LCM of 8 and 7.
  7. 7.Find the HCF of 88 and 33.
  8. 8.Find the HCF of 54 and 24.
  9. 9.Find the LCM of 8, 4 and 14.
  10. 10.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  11. 11.Find the LCM of 35 and 15.
  12. 12.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  13. 13.Find the LCM of 10, 8 and 2.
  14. 14.Find the HCF of 35 and 25.
  15. 15.Find the HCF of 44 and 99.
  16. 16.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  17. 17.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  18. 18.Find the LCM of 21 and 9.
  19. 19.Find the HCF of 16 and 12.
  20. 20.Find the LCM of 28 and 12.
  21. 21.Find the LCM of 6, 14 and 9.
  22. 22.Find the LCM of 12 and 27.
  23. 23.Find the HCF of 72 and 56.
  24. 24.Find the HCF of 25 and 20.
  25. 25.Find the HCF of 24 and 30.
  26. 26.Find the LCM of 11, 14 and 2.
  27. 27.Find the HCF of 91 and 26.
  28. 28.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  29. 29.Find the HCF of 98 and 56.
  30. 30.Find the LCM of 15 and 25.
  31. 31.Find the LCM of 10, 6 and 4.
  32. 32.Find the HCF of 32 and 12.
  33. 33.Find the LCM of 5, 2 and 10.
  34. 34.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  35. 35.Find the LCM of 3, 7 and 11.
  36. 36.Find the LCM of 4, 6 and 10.
  37. 37.Find the LCM of 2, 9 and 11.
  38. 38.Find the LCM of 28 and 24.
  39. 39.Find the LCM of 10, 3 and 8.
  40. 40.Find the HCF of 21 and 28.

Answer key

  1. 132
  2. 64
  3. 16
  4. 224
  5. 378
  6. 56
  7. 11
  8. 6
  9. 56
  10. 36
  11. 105
  12. 40
  13. 40
  14. 5
  15. 11
  16. 6
  17. 64
  18. 63
  19. 4
  20. 84
  21. 126
  22. 108
  23. 8
  24. 5
  25. 6
  26. 154
  27. 13
  28. 14
  29. 14
  30. 75
  31. 60
  32. 4
  33. 10
  34. 12
  35. 231
  36. 60
  37. 198
  38. 168
  39. 120
  40. 7

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