Question

Match the expressions with the correct LCM
x + 4 , & x2 + 6x + 8

Answer 1

these are the answer choices
420x3y3 z3
70x2 y2
12x2 y2
x2 + 6x + 8
x2 - 9
42xy3 z

Answer 2

factor the second expression to get (x+4)(x+2)
the first expression is a factor of the second, thus the LCM is (x+4)(x+2)=x^2+6x+8

Answer 3

thank you wat about 12y^2 & 6x^2

Answer 4

@allank

Answer 5

The idea is to look out for common factors.
12 covers 12 and 6 in both,
So the LCM will be 12*y^2*x^2
Does that make sense?

Answer 6

hmm idk

Answer 7

okay, how about an example.
find the LCM of a^2b^2 and a^4b^4
Let's assume a is 2 and b is 3 so we have
2^2*3^2 and 2^4*3^4
Which becomes
4*9 and 16*81
We won't multiply so as to keep them separate.
the least common multiple in the case of 4 and 16 is 16
the least common multiple in the case of 9 and 81 is 81
therefore the LCM is 16*81 which rolls back to being a^4b^4
Does that make it simpler?