Question

Find the least common multiple of these two expressions. 24y^3u^6w^8 and 2u^6w^5

Answer 1

Answer:

$24(u ^ 6)w ^ 8(y ^ 3)$

Step-by-step explanation:

To find the common minimum multiple between two expressions, you must choose the common factors with their greatest exponent and the non-common factors with their greatest exponent.

For this problem we have the following expressions:

$24y ^ 3u ^ 6w ^ 8$

and

$2u^6w^5$

To begin with, you can decompose the term 24 into its prime factors.

24 | 2

12  | 2

6   | 2

3   | 3

one

$24 =(2 ^ 3)3$

Then the previous expressions are as follows.

$2 ^ 33y ^ 3u ^ 6w ^ 8$

and

$2u ^ 6w ^ 5$

We take the common terms first with their greatest exponent:

$2 ^ 3(u ^ 6)w ^ 8$

Now the terms are not common with its greatest exponent

$3(y ^ 3)$

Finally the multiple common multiple is:

$2 ^ 3(u ^ 6)w ^ 8(3)(y ^ 3)$

$24(u ^ 6)w ^ 8(y ^ 3)$