1. Splash Screen

2. Lesson Menu Five-Minute Check (over Lesson 4–4) Main Idea and Vocabulary Example 1:Identify Common Multiples Example 2:Find the LCM Example 3:Use the LCM to Solve a Problem

3. Main Idea/Vocabulary multiple common multiples least common multiple (LCM) Find the least common multiple of two or more numbers.

4. Example 1 Identify Common Multiples Identify the first three common multiples of 3 and 9. First, list the multiples of each number. Answer: So, the first three common multiples of 3 and 9 are 9, 18, and 27. multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27,... 1 × 3, 2 × 3, 3 × 3,... multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81,... 1 × 9, 2 × 9, 3 × 9,... Notice that 9, 18, and 27 are multiples common to both 3 and 9.

5. 1.A 2.B 3.C 4.D Example 1 A.14, 24, and 42 B.14, 28, and 42 C.24, 42, and 56 D.28, 54, and 70 Identify the first three common multiples for 2 and 7.

6. Example 2 Find the LCM Find the LCM of 8 and 18. Write the prime factorization of each number. 8 = 2 × 2 × 2 18 = 2 × 3 × 3 Answer: The LCM is 2 × 2 × 2 × 3 × 3 or 72. Identify all common prime factors. Find the product of the prime factors using each common prime factor only once and any remaining factors.

7. 1.A 2.B 3.C 4.D Example 2 A.36 B.42 C.63 D.72 Find the LCM of 9 and 21.

8. Example 3 Use the LCM to Solve a Problem MONEY Liam, Eva, and Brady each have the same amount of money. Liam has only nickels, Eva has only dimes, and Brady has only quarters. What is the least amount of money that each of them could have? Find the LCM using prime factors. Answer: The least amount of money that each of them could have is 2 × 5 × 5 or 50 cents. 5 1 × 5 10 2 × 5 25 5 × 5

9. 1.A 2.B 3.C 4.D Example 3 A.24 ounces B.36 ounces C.45 ounces D.48 ounces CANDY Michael, Logan, and Diego each have bags of candy that have the same total weight. Michael’s bag has candy bars that each weigh 4 ounces, Logan’s bag has candy bars that each weigh 6 ounces, and Diego’s bag has candy bars that each weigh 9 ounces. What is the least total weight that each of them could have?

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11. Resources Five-Minute Check (over Lesson 4–4) Image Bank Math Tools Animation Menu Greatest Common Factor

12. Animation Menu 4-24-2 Equivalent FractionsEquivalent Fractions 4-94-9 Ordered Pairs and FunctionsOrdered Pairs and Functions

13. 1.A 2.B 3.C 4.D Five Minute Check 1 A.8 B.12 C.16 D.24 Use the make an organized list strategy to solve. MOVIES Jamaal and three of his friends are going to a movie. How many arrangements are there for all of them to sit in four seats that are in a row? (over Lesson 4-4)

14. 1.A 2.B 3.C 4.D Five Minute Check 2 A.6 B.8 C.9 D.12 Use the make an organized list strategy to solve. LIBRARY Ana is going to the library and wants to look at the fiction section, reference section, and the music section. How many different ways can Ana stop by these sections of the library? (over Lesson 4-4)

15. 1.A 2.B 3.C 4.D Five Minute Check 3 A.6 B.7 C.12 D.20 A university book store sells four styles of hats in black, white, and red. How many different combinations of style and color are possible? (over Lesson 4-4)

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