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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 364 · 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 2, 8 and 13.
  2. 2.Find the LCM of 10, 6 and 12.
  3. 3.Find the HCF of 36 and 8.
  4. 4.Find the HCF of 88 and 33.
  5. 5.Find the HCF of 32 and 36.
  6. 6.Find the HCF of 35 and 42.
  7. 7.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  8. 8.Find the LCM of 6, 7 and 15.
  9. 9.Find the LCM of 12, 15 and 6.
  10. 10.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  11. 11.Find the LCM of 16 and 36.
  12. 12.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  13. 13.Find the HCF of 35 and 45.
  14. 14.Find the HCF of 65 and 117.
  15. 15.Find the HCF of 22 and 77.
  16. 16.Find the LCM of 12, 3 and 14.
  17. 17.Find the HCF of 8 and 12.
  18. 18.Find the HCF of 99 and 77.
  19. 19.Find the HCF of 70 and 80.
  20. 20.Find the LCM of 15, 12 and 9.
  21. 21.Find the LCM of 13, 4 and 12.
  22. 22.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  23. 23.Find the HCF of 96 and 84.
  24. 24.Find the HCF of 50 and 70.
  25. 25.Find the LCM of 9, 12 and 3.
  26. 26.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  27. 27.Find the HCF of 48 and 42.
  28. 28.Find the LCM of 13, 2 and 7.
  29. 29.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  30. 30.Find the LCM of 2, 13 and 3.
  31. 31.Find the LCM of 15, 6 and 3.
  32. 32.Find the LCM of 7, 14 and 6.
  33. 33.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  34. 34.Find the LCM of 13, 4 and 3.
  35. 35.Find the HCF of 30 and 20.
  36. 36.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  37. 37.Find the LCM of 3 and 8.
  38. 38.Find the LCM of 28 and 20.
  39. 39.Find the LCM of 12, 11 and 3.
  40. 40.Find the HCF of 64 and 24.

Answer key

  1. 104
  2. 60
  3. 4
  4. 11
  5. 4
  6. 7
  7. 24
  8. 210
  9. 60
  10. 15
  11. 144
  12. 63
  13. 5
  14. 13
  15. 11
  16. 84
  17. 4
  18. 11
  19. 10
  20. 180
  21. 156
  22. 30
  23. 12
  24. 10
  25. 36
  26. 6
  27. 6
  28. 182
  29. 49
  30. 78
  31. 30
  32. 42
  33. 18
  34. 156
  35. 10
  36. 20
  37. 24
  38. 140
  39. 132
  40. 8

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