# Find the LCM of 48x,24yx and 42x?

Mar 5, 2017

Lease Common Multiple is $336 x y$

#### Explanation:

Let us first factorize all monomials

$48 x = 2 \times 2 \times 2 \times 2 \times 3 \times x$

$24 y x = 2 \times 2 \times 2 \times 3 \times y \times x$

$42 x = 2 \times 3 \times 7 \times x$

Observe that this uses $2$, $3$, $7$, $x$ and $y$.

and in a single monomial, $2$ occurs maximum $4$ times and $3$, $7$, $x$ and $y$ occur not more than once.

Hence Lease Common Multiple is

$2 \times 2 \times 2 \times 2 \times 3 \times 7 \times x \times y = 336 x y$