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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 45 · 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 8 and 10.
  2. 2.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  3. 3.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  4. 4.Find the HCF of 28 and 70.
  5. 5.Find the LCM of 10, 5 and 7.
  6. 6.Find the LCM of 15, 2 and 8.
  7. 7.Find the LCM of 5, 6 and 4.
  8. 8.Find the LCM of 8 and 3.
  9. 9.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  10. 10.Find the HCF of 60 and 70.
  11. 11.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  12. 12.Find the LCM of 18 and 4.
  13. 13.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  14. 14.Find the HCF of 30 and 42.
  15. 15.Find the LCM of 15, 11 and 3.
  16. 16.Find the LCM of 5 and 2.
  17. 17.Find the HCF of 88 and 33.
  18. 18.Find the LCM of 13, 14 and 2.
  19. 19.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  20. 20.Find the LCM of 3 and 8.
  21. 21.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  22. 22.Find the LCM of 3, 14 and 5.
  23. 23.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  24. 24.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  25. 25.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  26. 26.Find the HCF of 28 and 35.
  27. 27.Find the LCM of 10, 12 and 2.
  28. 28.Find the LCM of 16 and 6.
  29. 29.Find the HCF of 44 and 33.
  30. 30.Find the HCF of 35 and 30.
  31. 31.Find the LCM of 54 and 24.
  32. 32.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  33. 33.Find the HCF of 21 and 18.
  34. 34.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  35. 35.Find the LCM of 32 and 20.
  36. 36.Find the LCM of 2, 10 and 11.
  37. 37.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  38. 38.Find the LCM of 15 and 20.
  39. 39.Find the HCF of 26 and 39.
  40. 40.Find the LCM of 15, 9 and 4.

Answer key

  1. 40
  2. 30
  3. 49
  4. 14
  5. 70
  6. 120
  7. 60
  8. 24
  9. 56
  10. 10
  11. 63
  12. 36
  13. 6
  14. 6
  15. 165
  16. 10
  17. 11
  18. 182
  19. 4
  20. 24
  21. 40
  22. 210
  23. 32
  24. 72
  25. 49
  26. 7
  27. 60
  28. 48
  29. 11
  30. 5
  31. 216
  32. 40
  33. 3
  34. 18
  35. 160
  36. 110
  37. 48
  38. 60
  39. 13
  40. 180

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