Least Common Multiple Objective: To find the least common multiple

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Presentation transcript:

Least Common Multiple Objective: To find the least common multiple Vocabulary: Least Common Multiple (LCM): The least non-zero common multiple of two or more numbers. Method 1: Make a list of multiples Ex: Find the LCM of 4 and 9 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44 4: 9: 9, 18, 27, 36, 45, 36 is the LCM of 4 and 9

Method 2: Prime factorization with factor trees. Find the LCM of 10 and 12 10 12 4 2 2 3 5 2 10 = 2 • 5 Multiply the factors, using the common factors only once 12 = 2•2•3 2•2•3•5 = 60

Method 3: prime factorization using upside-down division Find the LCM of 12 and 16 2 12 2 16 2 6 2 8 3 2 4 2 12 = 16 = 2•2 • 3 Multiply the factors using the common factors only once. 2•2•2•2 2•2•2•2•3= 48