Section 3.2 Least Common Multiple 177 For Exercises 3–8, add and subtract as indicated. Write the answer as a whole number or fraction simplified to lowest terms. 28 4 22 4 19 6 16 6 3. 4. 5. 11 3 7 3 8 5 12 5 6. 7. 8. Concept 1: Least Common Multiple 9. a. Circle the multiples of 24: 4, 8, 48, 72, 12, 240 b. Circle the factors of 24: 4, 8, 48, 72, 12, 240 10. a. Circle the multiples of 30: 15, 90, 120, 3, 5, 60 b. Circle the factors of 30: 15, 90, 120, 3, 5, 60 11. a. Circle the multiples of 36: 72, 6, 360, 12, 9, 108 b. Circle the factors of 36: 72, 6, 360, 12, 9, 108 12. a. Circle the multiples of 28: 7, 4, 2, 56, 140, 280 b. Circle the factors of 28: 7, 4, 2, 56, 140, 280 31 15 5 19 2 15 2 19 For Exercises 13–18, find the LCM by listing several multiples of each number. (See Example 1.) 13. 10 and 25 14. 21 and 14 15. 16 and 12 8 15 16. 20 and 12 17. 8, 10, and 12 18. 4, 6, and 14 Concepts 2 and 3: Finding the LCM For Exercises 19–38, find the LCM. (See Examples 2 and 3.) 19. 18 and 24 20. 9 and 30 21. 12 and 15 22. 27 and 45 23. 15 and 25 24. 16 and 24 25. 24 and 30 26. 14 and 35 27. 42 and 70 28. 6 and 21 29. 20, 18, and 27 30. 9, 15, and 42 31. 12, 15, and 20 32. 20, 30, and 40 33. 16, 24, and 30 34. 20, 42, and 35 35. 6, 12, 18, and 20 36. 21, 35, 50, and 75 37. 5, 15, 18, and 20 38. 28, 10, 21, and 35 Concept 4: Applications of the LCM 39. A tile floor is to be made from 10-in., 12-in., and 15-in. square tiles. A design is made by alternating rows with different-size tiles. The first row uses only 10-in. tiles, the second row uses only 12-in. tiles, and the third row uses only 15-in. tiles. Neglecting the grout seams, what is the shortest length of floor space that can be covered evenly by each row? (See Example 4.) 40. A patient admitted to the hospital was prescribed a pain medication to be given every 4 hr and an antibiotic to be given every 5 hr. Bandages applied to the patient’s external injuries needed changing every 12 hr. The nurse changed the bandages and gave the patient both medications at 6:00 A.M. Monday morning. a. How many hours will pass before the patient is given both medications and has his bandages changed at the same time? b. What day and time will this be?
miller_basic_college_math_3e_ch1_3
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