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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 424 · 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 HCF of 72 and 60.
  2. 2.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  3. 3.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  4. 4.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  5. 5.Find the LCM of 5, 14 and 6.
  6. 6.Find the LCM of 16 and 12.
  7. 7.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  8. 8.Find the LCM of 3, 11 and 9.
  9. 9.Find the HCF of 98 and 56.
  10. 10.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  11. 11.Find the LCM of 5, 11 and 10.
  12. 12.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  13. 13.Find the LCM of 5 and 4.
  14. 14.Find the LCM of 6, 11 and 12.
  15. 15.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  16. 16.Find the LCM of 3 and 7.
  17. 17.Find the LCM of 5, 8 and 3.
  18. 18.Find the HCF of 39 and 91.
  19. 19.Find the LCM of 11, 5 and 4.
  20. 20.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  21. 21.Find the LCM of 2, 3 and 13.
  22. 22.Find the LCM of 2, 10 and 9.
  23. 23.Find the LCM of 40 and 45.
  24. 24.Find the HCF of 32 and 24.
  25. 25.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  26. 26.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  27. 27.Find the LCM of 2 and 3.
  28. 28.Find the LCM of 18 and 42.
  29. 29.Find the LCM of 14 and 4.
  30. 30.Find the HCF of 63 and 14.
  31. 31.Find the HCF of 15 and 9.
  32. 32.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  33. 33.Find the LCM of 6 and 16.
  34. 34.Find the HCF of 63 and 56.
  35. 35.Find the LCM of 7 and 3.
  36. 36.Find the LCM of 27 and 6.
  37. 37.Find the LCM of 3, 4 and 2.
  38. 38.Find the LCM of 4, 2 and 10.
  39. 39.Find the LCM of 2, 8 and 3.
  40. 40.Find the LCM of 20 and 45.

Answer key

  1. 12
  2. 9
  3. 24
  4. 15
  5. 210
  6. 48
  7. 56
  8. 99
  9. 14
  10. 18
  11. 110
  12. 24
  13. 20
  14. 132
  15. 40
  16. 21
  17. 120
  18. 13
  19. 220
  20. 35
  21. 78
  22. 90
  23. 360
  24. 8
  25. 16
  26. 14
  27. 6
  28. 126
  29. 28
  30. 7
  31. 3
  32. 40
  33. 48
  34. 7
  35. 21
  36. 54
  37. 12
  38. 20
  39. 24
  40. 180

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