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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 875 · 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.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  2. 2.Find the HCF of 135 and 60.
  3. 3.Find the LCM of 30 and 24.
  4. 4.Find the LCM of 3, 6 and 5.
  5. 5.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  6. 6.Find the HCF of 20 and 25.
  7. 7.Find the LCM of 10, 12 and 4.
  8. 8.Find the HCF of 105 and 90.
  9. 9.Find the HCF of 45 and 105.
  10. 10.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  11. 11.Find the LCM of 18 and 48.
  12. 12.Find the LCM of 15, 14 and 10.
  13. 13.Find the LCM of 21 and 15.
  14. 14.Find the HCF of 26 and 91.
  15. 15.Find the LCM of 10, 8 and 4.
  16. 16.Find the HCF of 28 and 49.
  17. 17.Find the LCM of 12 and 21.
  18. 18.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  19. 19.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  20. 20.Find the LCM of 14 and 18.
  21. 21.Find the HCF of 28 and 70.
  22. 22.Find the LCM of 10 and 6.
  23. 23.Find the LCM of 30 and 36.
  24. 24.Find the LCM of 9, 5 and 3.
  25. 25.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  26. 26.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  27. 27.Find the HCF of 48 and 56.
  28. 28.Find the LCM of 18 and 10.
  29. 29.Find the LCM of 2, 13 and 10.
  30. 30.Find the LCM of 12, 8 and 6.
  31. 31.Find the LCM of 10, 4 and 11.
  32. 32.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  33. 33.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  34. 34.Find the LCM of 3, 15 and 14.
  35. 35.Find the LCM of 12, 3 and 6.
  36. 36.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  37. 37.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  38. 38.Find the LCM of 12, 3 and 9.
  39. 39.Find the LCM of 8 and 5.
  40. 40.Find the LCM of 16 and 10.

Answer key

  1. 63
  2. 15
  3. 120
  4. 30
  5. 32
  6. 5
  7. 60
  8. 15
  9. 15
  10. 16
  11. 144
  12. 210
  13. 105
  14. 13
  15. 40
  16. 7
  17. 84
  18. 10
  19. 72
  20. 126
  21. 14
  22. 30
  23. 180
  24. 45
  25. 20
  26. 15
  27. 8
  28. 90
  29. 130
  30. 24
  31. 220
  32. 48
  33. 12
  34. 210
  35. 12
  36. 6
  37. 6
  38. 36
  39. 40
  40. 80

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