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Chapter 1.1 Factors & Multiples
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Vocabulary Common factor: a number that is a factor of two or more numbers Greatest Common Factor (GCF): the largest of the common factors of two or more numbers Least Common Multiple (LCM): the smallest nonzero number that is a multiple of two or more whole numbers
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Real-World Link Bryan is making balloon arrangements. He has 8 blue and 12 green balloons. What is the greatest amount of arrangements he can make if he wants them to be identical?
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Find the Greatest Common Factor
You can use common factors or prime factors to find the GCF Remember that a prime number is a whole number that has exactly two factors, 1 and the number itself
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Example 1. There are one slice servings of three types of cake on a table. Each row has an equal number of servings and only one type of cake. What is the greatest number of servings in a row?
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Got it? Lana earned $49 on Friday, $42 on Saturday, and $21 on Sunday selling bracelets. She sold each bracelet for the same amount. What is the most she could have charged for each bracelet?
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Example 2. Find the GCF of 12 and 18.
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Got it? Find the greatest common factor of each set of numbers. 12, 66 18, 30 32, 48
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Find the Least Common Multiple
You can find the least common multiple (LCM) by using a number line, making a list, or by using prime factors. A multiple of a number is the product of the number and any integer (whole number).
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Examples. Find the LCM of 2 and 3.
Method 1. Use a number line Method 2. Use an organized list Find the LCM of 14 and 21 using prime factorization.
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Got it? Find the least common multiple of each set of numbers. 2, 6 4, 5, 10 3, 5, 7
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Example 5. Ernesto has painting class every 2 weeks. Kamala has a pottery class every 5 weeks. Ernesto and Kamala met at the art building for class this week. How many weeks will it be until they see each other again?
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Glencoe Florida Math Course 1 Volume 1 Page 11 #1 - 9
Assignment Glencoe Florida Math Course 1 Volume 1 Page 11 #1 - 9
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