Question

10. Find the greatest 4-digit number which is exactly divisible by 55, 88,110.
​

Answer 1

Answer:

its 9999 it can be divisible by 55,88,110

Step-by-step explanation:

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 5LCM(55,88,110)=2×2×2×11×5

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

Divide 9999 by 440 so that we get the remainder,

9999 =440 \times 22+ 3199999=440×22+319

Remainder is 319.

Now, Subtract the remainder from 99999.

9999-319=96809999−319=9680

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

Hope it helps you