Question

3. Find the greatest number of four digits which is exactly divisible by 15,
24 and 36.
​

Answer 1

this is the answer of this question.

Answer 2

Question:

Find the greatest number of four digits which is exactly divisible by 15,

24 and 36.

Answer:

The number is 9920.

Given:

Divident:15, 24 and 39

To find:

The greatest number of four digits which is exactly divisible by 15,24 and 36. four digit number which is exactly divided by 15, 24 and 36.

Explanation:

We know that, the greatest four digits number is 9999.

For the given dividents:

15= 3× 5

24 = 2×2×2×3

36= 2×2×3×3

So, the L.C.M. of the dividents:

(2×2×2×3×3×5)

= 360.

Hence, by dividing 9999 by 360 we get,

(9999÷360)

= The result is 22 and the remainder is 79.

So, the greatest four digit number which is exactly divisible by 15,24 and 36 is:

(9999 - 79)

= 9920

So, the number is 9920.