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

Question

Everly Taylor · Accepted Answer

Lease Common Multiple is #336xy#

First, let's factor every monomial.

#48x=2xx2xx2xx2xx3xx x#

#24yx=2xx2xx2xx3xxyxx x#

#42x=2xx3xx7xx 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.

Therefore, the Lease Common Multiple is

#2xx2xx2xx2xx3xx7xx x xxy=336xy#

Luna Angel · Answer

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Noah Archer · Answer

undefined To find the LCM of 48x, 24yx, and 42x, we need to first factorize each expression:

48x = 2^4 * 3 * x
24yx = 2^3 * 3 * y * x
42x = 2 * 3 * 7 * x

Now, for each prime factor, we choose the one with the highest power:

2^4 * 3 * 7 * y * x

Finally, multiply these factors together to find the LCM:

LCM = 2^4 * 3 * 7 * y * x
LCM = 336yx