Question

Please show working
Find the greatest 5-digit number which is exactly divisible by 9, 15 and 18.

Answer 1

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

 

Divide 99999 by 360 so that we get the remainder,

Remainder is 279.

Now, Subtract the remainder from 99999.

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