Question

Find the greatest number less than 900 that is divisible by 4,5, and9

Answer 1

Answer:

720

Step-by-step explanation:

To find the number that are divisible by 4,5 & 9, we need to finnd the number that's commonly divisible by all these three numbers...

So, to find it, we need to find the Least Common Multiple of 4 , 5 & 9....

To find the L.C.M, it's easier in this case because the factors of 4 ,5 & 9 have no interconnection between them...

⇒ L.C.M of (4,5,6) = 4 × 5 × 9

⇒ 180...!

So, as to find the Greatest number less than 900 that's divisible by 4,5,9, we need to divide the highest number given by the L.C.M.....

That is;

$\frac{Greatest Number}{Least Common Factor}$

⇒$\frac{900}{180}$ = 5....

So, we can notice that 900 goes completely with 180...

As to find a number less than 900, we need to subtract the L.C.M with the Main Greatest Number....

⇒ $900 - 180 = 720...$

In case the number isn't divisible, you need to subtract the remainder you get with the Greatest number....

Hope this helps you....