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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 210 · 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 27 and 24.
  2. 2.Find the LCM of 16 and 6.
  3. 3.Find the LCM of 15, 10 and 8.
  4. 4.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  5. 5.Find the HCF of 25 and 10.
  6. 6.Find the LCM of 27 and 12.
  7. 7.Find the LCM of 10, 7 and 14.
  8. 8.Find the LCM of 13, 7 and 2.
  9. 9.Find the HCF of 36 and 45.
  10. 10.Find the HCF of 25 and 40.
  11. 11.Find the LCM of 48 and 18.
  12. 12.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  13. 13.Find the HCF of 96 and 36.
  14. 14.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  15. 15.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  16. 16.Find the LCM of 9 and 24.
  17. 17.Find the HCF of 72 and 16.
  18. 18.Find the LCM of 6, 10 and 8.
  19. 19.Find the LCM of 3, 15 and 11.
  20. 20.Find the HCF of 45 and 27.
  21. 21.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  22. 22.Find the LCM of 5 and 7.
  23. 23.Find the LCM of 9, 4 and 6.
  24. 24.Find the LCM of 30 and 18.
  25. 25.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  26. 26.Find the LCM of 15 and 18.
  27. 27.Find the LCM of 7, 9 and 3.
  28. 28.Find the HCF of 75 and 135.
  29. 29.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  30. 30.Find the LCM of 5 and 6.
  31. 31.Find the HCF of 84 and 72.
  32. 32.Find the HCF of 14 and 10.
  33. 33.Find the LCM of 15 and 40.
  34. 34.Find the LCM of 6, 12 and 13.
  35. 35.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  36. 36.Find the LCM of 4, 10 and 7.
  37. 37.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  38. 38.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  39. 39.Find the HCF of 14 and 21.
  40. 40.Find the LCM of 12 and 30.

Answer key

  1. 216
  2. 48
  3. 120
  4. 28
  5. 5
  6. 108
  7. 70
  8. 182
  9. 9
  10. 5
  11. 144
  12. 56
  13. 12
  14. 10
  15. 36
  16. 72
  17. 8
  18. 120
  19. 165
  20. 9
  21. 45
  22. 35
  23. 36
  24. 90
  25. 32
  26. 90
  27. 63
  28. 15
  29. 20
  30. 30
  31. 12
  32. 2
  33. 120
  34. 156
  35. 12
  36. 140
  37. 14
  38. 8
  39. 7
  40. 60

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