What is the least common denominator of $1/2, 1/4, and 3/8$ ?

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Answer 1 · 2018-03-05T05:39:51

The least common denominator is $8$

Given: $1/2, 1/4, 3/8$ . Find the least common denominator

The least common denominator is the Least Common Multiple (LCM) of the three denominators.

To find the LCM, write multiples of the three denominators:
$2: 2, 4, 6, color(red)(8), 10, 12, ...$

$4: 4, color(red)(8), 12, 16, 20, ...$

$8: color(red)(8), 16, 24, 32, ...$

The LCM is the smallest multiple that is common to all three: $8$

This means the least common denominator is $8$

Answer 2 · 2018-03-05T06:00:33

$LCM =8$

In this case you should notice that $2 and 4$ are both factors of $8$ .

$8$ is therefore the LCM because it is divisible by all three denominators.

What is the least common denominator of 1/2, 1/4, and 3/81/2, 1/4, and 3/8?