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How do you find the least common multiple of these two expressions #10y^2w^6u^5, 6y^4w^7#?

Answer 1

Genesis Allen

#L C M = color(purple)(30 * y^4 * w^7 * u^5#

To find LCM of #10y^2w^6u^5, 6y^4w^7#

Factors of #10y^2w^6u^5 = color(red)(2) * 5 * color(red)(y^2 * w^6) * u^5#

Factors of #6y^4 * w^7= color(red)(2) * 3 * color(red)(y^2)* y^2 * color(red)(w^6) * w#

#L C M = 2 * 5 * 3 * y^4 * w^7 * u^5 = color(purple)(30 * y^4 * w^7 * u^5#

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Answer 2

Eva Abramson

To find the least common multiple (LCM) of the expressions 10y^2w^6u^5 and 6y^4w^7, we need to determine the highest power of each variable that appears in either expression.

For y, the highest power is y^4 in the second expression. For w, the highest power is w^7 in the second expression. For u, the highest power is u^5 in the first expression.

Multiplying these highest powers together gives us y^4w^7u^5.

Therefore, the LCM of 10y^2w^6u^5 and 6y^4w^7 is 10y^4w^7u^5.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.