Question

The Greatest 5 digit number exactly divisible by 9 and 13?

Answer 1

Answer:

The required number is 99918 which is exactly divisible by 9 and 13.

Step-by-step explanation:

To find : The Greatest 5 digit number exactly divisible by 9 and 13?

Solution :

The greatest 5-digit number is 99999.

Now, Find the LCM of 9 and 13.

$9=3\times 3\\13=13\times 1$

$LCM(9,13)=3\times 3\times 13$

$LCM(9,13)=117$

Divide 99999 by 117 so that we get the remainder,

$99999 = 854 \times 117 + 81$

Remainder is 81.

Now, Subtract the remainder from 99999.

$99999-81=99918$

Therefore, The required number is 99918 which is exactly divisible by 9 and 13.

Answer 2

Answer:

The greatest 5-digit number is 99999.

Now, Find the LCM of 9 and 13.

9=3×3

13=13×1

LCM (9,13)=3×3×13=117

Divide 99999 by 117 so that we get the remainder,

99999=854×117+81

Therefore, the remainder is 81.

Now, Subtract the remainder from 99999.

99999−81=99918

Hence, the greatest five digit number is 99918 which is exactly divisible by 9 and 13.

Step-by-step explanation:

Hope this answer will be helpful..