Question

Find a number between 600 and 700 which is divisible by 22,44 and 66

Answer 1

Answer:

660

Step-by-step explanation:

The factors of 22 is 2 and 11.

The factors of 44 is 2,2 and 11.

The factors of 66 is 2,3 and 11,

Therefore the LCM of 22,44 and 66 is 132.

Now, if we divide 600 by 132 we get 4 as quotient and 72as remainder..

Now if we add (132-72) with 600 it will become completely divisible by 132.

Now adding (132-72) with 600 we get=600+60=660.

We can see that 22,44 and 66 are factors of 660. Also it is between 600 and 700.

Thus 660 is a number between 600 and 700 which is divisible by 22, 44 and 66.