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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 313 · 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 11, 14 and 2.
  2. 2.Find the LCM of 3, 14 and 5.
  3. 3.Find the LCM of 2, 15 and 3.
  4. 4.Find the HCF of 25 and 10.
  5. 5.Find the LCM of 12, 5 and 2.
  6. 6.Find the LCM of 7, 3 and 8.
  7. 7.Find the LCM of 16 and 14.
  8. 8.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  9. 9.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  10. 10.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  11. 11.Find the HCF of 15 and 25.
  12. 12.Find the HCF of 18 and 27.
  13. 13.Find the LCM of 15 and 18.
  14. 14.Find the LCM of 3 and 2.
  15. 15.Find the HCF of 24 and 54.
  16. 16.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  17. 17.Find the HCF of 49 and 21.
  18. 18.Find the LCM of 2 and 5.
  19. 19.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  20. 20.Find the LCM of 40 and 25.
  21. 21.Find the HCF of 14 and 16.
  22. 22.Find the LCM of 7, 14 and 11.
  23. 23.Find the LCM of 5, 10 and 3.
  24. 24.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  25. 25.Find the HCF of 44 and 99.
  26. 26.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  27. 27.Find the LCM of 5, 14 and 7.
  28. 28.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  29. 29.Find the LCM of 5 and 2.
  30. 30.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  31. 31.Find the HCF of 80 and 70.
  32. 32.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  33. 33.Find the LCM of 3 and 5.
  34. 34.Find the LCM of 8 and 9.
  35. 35.Find the LCM of 13, 4 and 6.
  36. 36.Find the HCF of 30 and 80.
  37. 37.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  38. 38.Find the HCF of 24 and 64.
  39. 39.Find the LCM of 6, 9 and 5.
  40. 40.Find the LCM of 5, 6 and 2.

Answer key

  1. 154
  2. 210
  3. 30
  4. 5
  5. 60
  6. 168
  7. 112
  8. 6
  9. 56
  10. 56
  11. 5
  12. 9
  13. 90
  14. 6
  15. 6
  16. 42
  17. 7
  18. 10
  19. 48
  20. 200
  21. 2
  22. 154
  23. 30
  24. 18
  25. 11
  26. 10
  27. 70
  28. 81
  29. 10
  30. 63
  31. 10
  32. 35
  33. 15
  34. 72
  35. 156
  36. 10
  37. 10
  38. 8
  39. 90
  40. 30

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