Question

Find the greatest 4 digit number which os exactly by 55, 88 , 110

Answer 1

Answer:

The required number is 9680 which is exactly divisible by 55, 88 , 110.

Step-by-step explanation:

To find : The Greatest 4 digit number which is exactly by 55, 88 , 110?

Solution :  

The greatest 4-digit number is 9999.

Now, Find the LCM of 55,88,110.

2 | 55  88  110

2 | 55  44  55

2 | 55  22  55

11 | 55   11   55

5 | 5      1    5

  | 1       1    1

$LCM(55,88,110)=2\times 2\times 2\times 11\times 5$

$LCM(55,88,110)=440$

Divide 9999 by 440 so that we get the remainder,

$9999 =440 \times 22+ 319$

Remainder is 319.

Now, Subtract the remainder from 99999.

$9999-319=9680$

Therefore, The required number is 9680 which is exactly divisible by 55, 88 , 110.

Answer 2

Answer:

Find the greatest 4-digit number which is exactly by 55,88 and 110