Number Systems-LCM & HCF

sukhman wrote:Least perfect square which is divisible by 3,4 ,6,8,10 and 11

Where are the answer choices?
In many instances, we can solve GMAT math questions quickly by using the answer choices to our advantage?

Cheers,
Brent

Hi sukhman,

The list of numbers that you're dealing with has some "overlap" among the numbers.

For example, anything that's divisible by 8 is ALSO divisible by 4 (so you can essentially ignore the 4 in your calculation).

If we prime factor this list, we'll have:

3 = 3
4 = 2x2
6 = 2x3
8 = 2x2x2
10 = 2x5
11 = 11

We need just ENOUGH prime factors to cover every item in this list:

We need: 2x2x2x3x5x11

The question asks for a perfect square, so we'd need to double the number of each:

2x2x2x2x2x2x3x3x5x5x11x11

GMAT assassins aren't born, they're made,
Rich