Find out the least number, which, when divided by 12, 15, 32 and 45 leaves the remainders 5, 8, 25 and 38 respectively.

1440 1450 1433 1500

1433

LCM of 12, 15, 32, 45 = 1440 Note: when different remainders left then, 'the difference b/w (15 & 8), (24 & 17), (32 & 25) and (45 & 38) = 7 is to be subtracted from the LCM' Therefore, Least number = 1440 - 7 = 1433