10=2x5
15=2x3
20=2x2x5
25=5x5
LCM(10,15,20,25) = 2x2x3x5x5
=300
Let the number be the x
According to the question
x+4=300
x=296
Therefore the least number which when increased by 4 is divisible by each of the numbers 10,15,20,25 is 296.