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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 147 · 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 13, 2 and 7.
  2. 2.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  3. 3.Find the LCM of 28 and 36.
  4. 4.Find the HCF of 18 and 12.
  5. 5.Find the LCM of 10, 3 and 7.
  6. 6.Find the HCF of 112 and 126.
  7. 7.Find the HCF of 36 and 27.
  8. 8.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  9. 9.Find the HCF of 35 and 25.
  10. 10.Find the LCM of 2, 12 and 15.
  11. 11.Find the LCM of 14, 12 and 6.
  12. 12.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  13. 13.Find the HCF of 18 and 24.
  14. 14.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  15. 15.Find the HCF of 18 and 16.
  16. 16.Find the HCF of 64 and 40.
  17. 17.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  18. 18.Find the HCF of 96 and 36.
  19. 19.Find the LCM of 2, 7 and 8.
  20. 20.Find the LCM of 48 and 42.
  21. 21.Find the HCF of 60 and 105.
  22. 22.Find the LCM of 3 and 8.
  23. 23.Find the HCF of 40 and 15.
  24. 24.Find the LCM of 5 and 8.
  25. 25.Find the LCM of 12 and 54.
  26. 26.Find the LCM of 35 and 10.
  27. 27.Find the LCM of 10, 6 and 12.
  28. 28.Find the HCF of 63 and 14.
  29. 29.Find the LCM of 6, 7 and 15.
  30. 30.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  31. 31.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  32. 32.Find the LCM of 2 and 7.
  33. 33.Find the LCM of 12, 13 and 3.
  34. 34.Find the HCF of 48 and 40.
  35. 35.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  36. 36.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  37. 37.Find the HCF of 15 and 10.
  38. 38.Find the LCM of 24 and 42.
  39. 39.Find the LCM of 13, 3 and 2.
  40. 40.Find the LCM of 15, 10 and 2.

Answer key

  1. 182
  2. 32
  3. 252
  4. 6
  5. 210
  6. 14
  7. 9
  8. 20
  9. 5
  10. 60
  11. 84
  12. 72
  13. 6
  14. 28
  15. 2
  16. 8
  17. 40
  18. 12
  19. 56
  20. 336
  21. 15
  22. 24
  23. 5
  24. 40
  25. 108
  26. 70
  27. 60
  28. 7
  29. 210
  30. 49
  31. 9
  32. 14
  33. 156
  34. 8
  35. 16
  36. 49
  37. 5
  38. 168
  39. 78
  40. 30

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