Question

Largest six digit number which is divisible by24,36,15

Answer 1

Answer:

999720

Step-by-step explanation:

We first need to get the LCM of the three.

The LCM will be given by :

24 = 2 × 2 × 2 × 3

15 = 3 × 5

36 = 2 × 2 × 3 × 3

The LCM will be given by :

2³ × 3² × 5 = 360

This is the LCM of the three numbers.

The largest six digit number that is divisible by the 3 numbers could be given by multiplying this LCM by a certain number.

This number will be 2777

We perform the operations as follows :

2777 × 360 = 999720

Answer 2

Answer:

999720

Step-by-step explanation:

Given Largest six-digit number which is divisible by 24,36,15

First we need to find the L.C.M of 24, 36 and 15. So the factors for these numbers are    

3 x 2 x 2 x 2 x 3 x 5 = 360

Now the largest six digit number is 999999.  

Now divide this number by 360 that is 999999 / 360, the remainder we get will be 279.

So now 999999 – 279 = 999720

Now we can see that the numbers 24, 36 and 15 are divisible by 999720.

So 999720 / 24 = 41655

   999720 / 36 = 27770

   999720 / 15 = 66648

So the largest  six-digit number divisible by 24,36 and 15 is 999720