I am having trouble, I have a question I think I got the answer because I kept multiplying and dividing, but I have to show my work but when i try, my answer is not the same.

The question is A traffic light at one intersection changes every 28 seconds and the light at the other intersection changes every 32 seconds. How long until they both change together?

I got every 8 light changes. Can you please help me solve this?

sorry forgot to put math.

I got it, it is every 224 seconds. I had to find the LCM to find the GCF. I then had to multiply 28 and 32 to divide the GCF which gave me 224. Thanks anyway.

Definitely not 2nd grade..

it is 1,235,1469,2587,265,874 times 1million

don't listen to bill.

he is in high school.

Sure! I'd be happy to help you solve this problem.

To find out how long it will take for the two traffic lights to change together, we need to find the least common multiple (LCM) of 28 and 32.

A simple way to find the LCM is by listing the multiples of each number until we find a common multiple.

For 28: 28, 56, 84, ...

For 32: 32, 64, ...

From the lists, we can see that the first common multiple is 56. Therefore, the two traffic lights will change together after 56 seconds.

Now, let's show the work to explain how this solution was reached:

First, we need to calculate the multiples of each number until we find a common multiple.

Multiples of 28: 28, 56, 84, ...

Multiples of 32: 32, 64, ...

The first common multiple we find is 56.

Therefore, the two traffic lights will change together every 56 seconds.

I hope that helps! Let me know if you have any other questions.