Question

The least six-digit number which when divided by 4, 6, 8 and 12 leaves the remainder as 3 in each case. Find the number.​

Answer 1

Answer:

1011

Step-by-step explanation:

Explanation :

Least 4 digit number = 1000

LCM of 6,8,12 = 24

Dividing 1000 by 24 leaves a remainder 16 , Subtract 16 from 10000= 984

So this means 984 is divisible by 24

984 + 24 = 1008

Here, 1008 also divisible by 24

To find the number which leaves remainder 3, we have to add 3 to 1008

1008 + 3 = 1011

Now, 1011 is the least number of 4 digit which leaves the remainder 3 after divided by 6,8,12.

that’s all.