How do you find the Least common multiple of $16 x^{2} y, 32 x$ $16x^2y, 32x$ ?

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How do you find the Least common multiple of $16 x^{2} y, 32 x$ $16x^2y, 32x$ ?

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Answer 1 · 2016-11-29T14:26:57

$L C M = 32 x^{2} y$ $LCM = 32x^2y$

Explanation:

The least common multiple in this case can be found by writing the factors of both the terms.
$16 x^{2} y = 2 \times 2 \times 2 \times 2 \times x \times x \times y$ $16x^2y = 2xx2xx2xx2xx x xx x xxy$
$32 x = 2 \times 2 \times 2 \times 2 \times 2 \times x$ $32x = 2xx2xx2xx2xx2xx x$
We find the common terms which are $2^{4} and x$ $2^4 and x$ in this case.
The terms left are $2, x and y$ $2, x and y$ .
To get the LCM, we multiply the common terms with the terms that are left.
So, LCM = $2^{4} \times x \times 2 \times x \times y$ $2^4xx x xx2xx x xxy$
Therefore, LCM = $32 x^{2} y$ $32x^2y$

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How do you find the Least common multiple of $16 x^{2} y, 32 x$ $16x^2y, 32x$ ?

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Explanation:

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