find the LCM
11(z-3), 33(z-3)
the answer that I got is
(z-3)(z-3)(z-11)
is this right
No. Won't each of the numbers go into 33(z-3)?
You need to review what LCM means, and while you are at it, the GCM
I was confused because there are 2 (z-3)
lets say you want LCM of 2 and 6 .
we know it is 6
Similarly you have here 11(z-3) and 33(z-3);
33(z-3) can be written as 11*3 (z-3)
So the LCM should be 33(z-3)
To find the LCM (Least Common Multiple) of two or more expressions, you need to first find the prime factorization of each expression.
Let's start with the expressions 11(z-3) and 33(z-3):
11(z-3) = 11 * (z-3)
33(z-3) = 33 * (z-3)
Next, we can simplify each expression by finding the prime factorization of 11 and 33:
11 = 11 * 1 (11 is a prime number)
33 = 3 * 11 (the prime factorization of 33)
Now, let's rewrite the expressions using the prime factorization:
11(z-3) = 11 * (z-3)
33(z-3) = 3 * 11 * (z-3)
To find the LCM, we need to take all the prime factors of both expressions and choose the highest power of each factor.
In this case, the prime factors are 11 and (z-3). Since the highest power of 11 is 11, and (z-3) does not have any other powers, the LCM is:
(z-3)(z-3)(11)
Therefore, the answer you got, (z-3)(z-3)(11), is correct.