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Published byCuthbert Potter Modified over 7 years ago

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Least Common Multiples

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Multiples Multiples are the product of a number and any whole number. LCM- least common multiple- the least multiple common to all numbers. Find by: List the multiples Ex 1: 6 and 9: 6: 6,12,18,24,30, 36,42,48 9: 9,18,27,36, 45,54,63,72,81 LCM: 18

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Ex. 2: Find by method 2: Find the prime factorization of two numbers. Write each prime factor the greatest number of times it occurs for any of the digits. 4,14: 4= 2x2; 14= 2x7: So 2 occurs twice, 7 occurs once: So 2x2x7=28, 28 is the least common multiple.

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Uses of LCM Finding LCM of algebraic terms: Ex:3 35x^2 and 175xy 35x^2= 5*7*x*x 175 = 7*5*5*x*y LCM=5*5*7*x*x*y

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LCD: Least Common Denominator The LCD will be the LCM of the Denominator: Ex. 4: 1/12, -3/16, 5/18 Find LCM of 12, 16,18: 12=2*3*2 16=2*2*2*2 18=2*3*3 Multiply 2*2*2*2*3*3=144

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You can also used the LCD for ALGEBRAIC fractions Ex. 5: Find LCD for the following 6c/5b; 2c/15b, 7c/25b 5b=5*b 15b=3*5*b 25b=5*5*b 3*5*5*b=75b LCD is 75b DO 1-10 in notebook now.

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