I would like to know if I got my answer right. I am supposed to find the LCM of 11(t-5)and 55(t-5). I thought that the answer was 11t-55 but I am a little bit lost can you please help me. Thanks
Since 11 divides into 55, the 55 will take care of both.
Since 7-5 is found in both, we will need that.
So the LCM is 55(t-5)
The least common multiple (LCM) can be 11 or (t-5), if t<15.
To find the least common multiple (LCM) of two expressions, you need to first factorize them and then find the product of their highest powers of each unique factor.
Let's start by factorizing the two expressions:
11(t-5) = 11 * (t-5)
55(t-5) = 11 * 5 * (t-5)
Now, let's compare the factors of each expression:
11 * (t-5) has the factors 11 and (t-5).
11 * 5 * (t-5) has the factors 11, 5, and (t-5).
To find the LCM, we need to take the product of the highest powers of each unique factor. In this case, the only unique factor is (t-5), since both numbers already have the factor 11 in common.
The highest power of (t-5) in both expressions is 1, so the LCM is simply (t-5).
Therefore, the correct answer is (t-5), not 11t-55.