How do you find the LCM for $3$ , $4w+2$ and $4w^2-1$ ?

Question

How do you find the LCM for $3$ , $4w+2$ and $4w^2-1$ ?

1 Answer

Impact of this question

2376 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-08T18:46:16

One way is to factor each of them completely, then multiply the non-duplicated factors together. I say non-duplicated, but if a factor is repeated in one of the factorisations of the starting expressions, then it has to occur at least that many times in the LCM.

Anyway:

$3$ is completely factored already.
$4w+2 = 2(2w+1)$
$4w^2-1 = (2w+1)(2w-1)$

So the unique factors are: $3$ , $2$ , $(2w+1)$ and $(2w-1)$ .

None of these factors occurs in one of the original expressions with a multiplicity greater than $1$ , so we can just multiply them together to get the LCM:

$3*2*(2w+1)(2w-1) = 6*(4w^2-1) = 24w^2-6$

Science

Math

Humanities

... and beyond

How do you find the LCM for $3$ , $4w+2$ and $4w^2-1$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you find the LCM for 33, 4w+24w+2 and 4w^2-14w^2-1?

1 Answer

Related questions

Impact of this question

How do you find the LCM for $3$ , $4w+2$ and $4w^2-1$ ?