Answered

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Find the least common multiple of these two expressions. 12x^2w^6v^8 and 8x^5w^3

Sagot :

Given

[tex]12x^2w^6v^8\text{ }and\text{ }8x^5w^3[/tex]

To find:

The Least Common Multiple of the above expressions.

Explanation:

It is given that,

[tex]12x^2w^6v^8\text{ }and\text{ }8x^5w^3[/tex]

That implies,

[tex]\begin{gathered} 12x^2w^6v^8=4\cdot3\cdot x^2\cdot w^3\cdot w^3\cdot v^8 \\ 8x^5w^3=4\cdot2\cdot x^2\cdot x^3\cdot w^3 \\ \therefore LCM=4\cdot3\cdot2\cdot x^2\cdot x^3\cdot w^3\cdot w^3\cdot v^8 \\ =24x^5w^6v^8 \end{gathered}[/tex]

Hence, the Least Common Multiple of the given expressions is,

[tex]LCM=24x^5w^6v^8[/tex]

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