Question

find the greatest number of 5 digits exactly divisible by 9 12 15 18 and 24

Answer 1

Answer:

Greatest number of five digits divisible by 9, 12, 15, 18 and 24 = 99999 - 279 = 99720. Sol: LCM of 9, 12, 15, 18 and 24 by division method is 360. The quotient when 99999 is divided by 360 is 277 and the remainder is 279.

Answer 2

Answer:

The required number is 99720 which is exactly divisible by by 9,12,15,18 and 24.                    

Step-by-step explanation:

To find : The Greatest 5 digit number exactly divisible by 9,12,15,18 and 24?

Solution :  

The greatest 5-digit number is 99999.

Now, Find the LCM of  9,12,15,18 and 24.

2 | 9  12  15  18  24

2 | 9   6  15   9   12

2 | 9   3  15   9   6

3 | 9   3  15   9   3

3 | 3   1   5    3   1

5 | 1   1   5    1   1

 | 1   1     1    1   1

$LCM(9,12,15,18,24)=2\times 2\times 2\times 3\times 3\times 5$  

$LCM(9,12,15,18,24)=360$

Divide 99999 by 360 so that we get the remainder,

$99999 = 277 \times 360+279$

Remainder is 279.

Now, Subtract the remainder from 99999.

$99999-279=99720$

Therefore, The required number is 99720 which is exactly divisible by by 9,12,15,18 and 24.