Question

find the greatest three digit number which when divided by 75 45 and 60 leaves no remainder then remainder 4 in each case

Answer 1

we need to find LCm
75=5^2*3
45=3^2*5
60=2^2*3*5
LCM=2^2*5^2*3^2=900
the no. which leaves the remainder 4 is 904

Answer 2

the number which leaves no remainder is 900 and if if you want remainder 4 then the number is 904