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Wednesday, October 13 (Blue) Thursday, October 14 (Gold) 1.Fill in planner (Practice 5-1) 2.Bell Work (Write the prime factorization of each number)

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Objective SWBAT find the Least Common Multiple (LCM) and compare and order fractions.

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Vocabulary Multiple least common multiple (LCM) least common denominator (LCD)

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A multiple of a number is the product of the number and any nonzero whole number. multiple

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least common multiple (LCM): The smallest number that is a multiple of two or more numbers. least common denominator (LCD): The smallest number that is the multiple of two or more denominators.

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Today, the school’s baseball and soccer teams had games. The baseball team plays every 7 days. The soccer team plays every 3 days. When will the teams have games on the same day again? 7: 7, 14, 21, 28, 35, 42,... 3: 3, 6, 9, 12, 15, 18, 21,... LCM: 21. In 21 days, both teams will have game on the same day again. List multiples of 3 and 7. Find the smallest number that is in all the lists. 3,7

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The prime factorization of a number is the number written as a product of its prime factors. Remember!

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Example 2: Find the LCM of 16 and = = Write the prime factorizations Use the greatest power of each factor = 144 Multiply. LCM: 144

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Example 3: Find the LCM of 5a 4 and 15a 5a 4 = 5 a 4 15a = 3 5 a Write the prime factorizations Use the greatest power of each factor. 3 5 a 4 15a 4 Multiply. LCM: 15a 4

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Additional Example 2D: Using Multiples to Find the LCM Find the least common multiple (LCM). 15, 6, and 4 15 = = 2 2 Write the prime factorization of each number in exponential form = 60 To find the LCM, multiply each prime factor once with the greatest exponent used in any of the prime factorizations. 6 = 3 2 LCM: 60

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Check It Out: Example 2A Find the least common multiple (LCM). Method 1: Use a number line. 2 and 3 Use a number line to skip count by 2 and The least common multiple (LCM) of 2 and 3 is 6.

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Check It Out: Example 2B Find the least common multiple (LCM). Method 2: Use a list. 3, 4, and 9 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36,... 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, … 9: 9, 18, 27, 36, 45,... The least common multiple of 3, 4, and 9 is 36. List multiples of 3, 4, and 9. Find the smallest number that is in all the lists.

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Check It Out: Example 2C Find the least common multiple (LCM). Method 3: Use prime factorization. 4 and 10 4 = = 2 5 Write the prime factorization of each number. Line up the common factors = 20 To find the LCM, multiply one number from each column. LCM: 20

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Check It Out: Example 2D Find the least common multiple (LCM). 12, 6, and 8 12 = = 2 3 Write the prime factorization of each number in exponential form = 24 To find the LCM, multiply each prime factor once with the greatest exponent used in any of the prime factorizations. 8 = 2 3 LCM: 24

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Lesson Quiz Find the least common multiple (LCM). 1. 6, , , 6, , 16, 24, Two students in Mrs. Albring’s preschool class are stacking blocks, one on top of the other. Reece’s blocks are 4 cm high and Maddy’s blocks are 9 cm high. How tall will their stacks be when they are the same height for the first time? 36 cm

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