Lesson: Eliminating Fractions

Comment on Eliminating Fractions

How do we find the least common multiple of all 5 denominators? (which = (5^5)(7^5)) for this question:

https://gmatclub.com/forum/which-of-the-following-has-the-greatest-value-248206.html
gmat-admin's picture

Question link: https://gmatclub.com/forum/which-of-the-following-has-the-greatest-value...

I knew that the least common multiple of the five denominators will consist of powers of 5 and 7.

First, since the biggest power of 5 is 5^5, the least common multiple must have 5^5

Likewise, since the biggest power of 7 is 7^5, the least common multiple must have 7^5.

Does that help?

Cheers,
Brent

It was nice to see this different question! :)

for the first one you can just multiply 5 to both side, though it can be larger number to solve.
gmat-admin's picture

That also works.

Office Hours

On December 20, 2023, Brent will stop offering office hours. 

Change Playback Speed

You have the option of watching the videos at various speeds (25% faster, 50% faster, etc). To change the playback speed, click the settings icon on the right side of the video status bar.

Have a question about this video?

Post your question in the Comment section below, and a GMAT expert will answer it as fast as humanly possible.

Free “Question of the Day” emails!