what is the least number which when divided by 52, leaves 33 as the remainder when divided by 78 leaves 59 and when divided by 117 leaves 98 as the respective remainder ?

Now
52-33=19
78-58=19
117-98=19
Remainder in each case is less than the divisor by 19, Hence if 19 is added to the divisor by 52, 78, 117
so that required number is 19 less then the LCM of 52, 78, 117 = 468
the required number =468-19=449
Hence the anser is 449