144=2^4 x 3^2
252=2^2 x 3^2 x 7
300=2^2 x 3 x 5^2
[144,252,300]= 2^4
x 3^2 x 5^2 x 7=25 200
25 200:144=(2^4 x 3^2 x 5^2 x 7): (2^4 x 3^2)=5^2 x
7=25x7=175
25 200:252=(2^4 x 3^2 x 5^2 x 7): (2^2 x 3^2 x 7)=2^2
x 5^2=4x25=100
25 200:300=(2^4 x 3^2 x 5^2 x 7): (2^2 x 3 x 5^2)=2^2
x 3 x 7=4x21=84