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How do you find the LCM of $5 a b, 10 b$ $5ab, 10b$ ?

1 Answer

Oct 12, 2016

$L C M = 10 a b$ $LCM = 10ab$

Explanation:

The LCM is an expression which is divisible by both $5 a b and 10 b$ $5ab and 10b$

Look at the prime factors:

$5 a b = \times \times x 5 \times a \times b$ $5ab = color(white)(xxxxx)5 xx a xx b$
$10 b = 2 \times 5 \times x \times b$ $10b = " "2xx5 color(white)(xxx)xxb$

$L C M = 2 \times 5 \times a \times b = 10 a b$ $LCM = 2xx5xxaxxb = 10ab$

The LCM must have each type of factor but without the duplicates.

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