Question

Find the least number which when divided by 24,48 and 96 leaves a remainder 3 in each case.

Answer 1

24-3=21
48-3=45
96-3=93.
LCM of 21,45,93
21=3 x 7
45= 3 x 3 x 5.
93=3 x 31.
LCM of 21,45 and 93 is 3 x7 x3 x 5 x 31 = 9765.
Hence the least number which when divided by 24,48 and 96 is 9765.