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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 823 · 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 4, 5 and 15.
  2. 2.Find the LCM of 14 and 8.
  3. 3.Find the LCM of 8 and 7.
  4. 4.Find the LCM of 10 and 45.
  5. 5.Find the LCM of 30 and 48.
  6. 6.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  7. 7.Find the HCF of 70 and 84.
  8. 8.Find the LCM of 8, 10 and 2.
  9. 9.Find the HCF of 24 and 18.
  10. 10.Find the LCM of 6, 4 and 15.
  11. 11.Find the HCF of 32 and 12.
  12. 12.Find the LCM of 18 and 14.
  13. 13.Find the HCF of 55 and 66.
  14. 14.Find the LCM of 6, 10 and 4.
  15. 15.Find the HCF of 99 and 77.
  16. 16.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  17. 17.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  18. 18.Find the HCF of 32 and 24.
  19. 19.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  20. 20.Find the LCM of 30 and 18.
  21. 21.Find the LCM of 2, 3 and 13.
  22. 22.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  23. 23.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  24. 24.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  25. 25.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  26. 26.Find the LCM of 36 and 16.
  27. 27.Find the LCM of 7, 2 and 14.
  28. 28.Find the LCM of 7, 2 and 3.
  29. 29.Find the HCF of 16 and 72.
  30. 30.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  31. 31.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  32. 32.Find the HCF of 18 and 24.
  33. 33.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  34. 34.Find the LCM of 7 and 4.
  35. 35.Find the HCF of 45 and 35.
  36. 36.Find the LCM of 24 and 21.
  37. 37.Find the HCF of 54 and 42.
  38. 38.Find the LCM of 10 and 14.
  39. 39.Find the HCF of 70 and 30.
  40. 40.Find the LCM of 9 and 21.

Answer key

  1. 60
  2. 56
  3. 56
  4. 90
  5. 240
  6. 18
  7. 14
  8. 40
  9. 6
  10. 60
  11. 4
  12. 126
  13. 11
  14. 60
  15. 11
  16. 10
  17. 32
  18. 8
  19. 24
  20. 90
  21. 78
  22. 32
  23. 21
  24. 15
  25. 28
  26. 144
  27. 14
  28. 42
  29. 8
  30. 35
  31. 18
  32. 6
  33. 10
  34. 28
  35. 5
  36. 168
  37. 6
  38. 70
  39. 10
  40. 63

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