Question

A number when divided by 14 or 13 leaves a remainder 3. Find the least possible value of that number?

Answer 1

Find the LCM of 13 and 14, then add 3

Answer 2

Where a and b are integers
3 + 13*a = x
3 + 14*b = x
Subtract one line from the other:
14*b = 13*a
smallest integers that satisfy that are 14, 13.

so:
3 + 13*14 = x
3 + 14*13 = x
x = 185