Find the least number which when divided by 34 and 5 leaves a remainder of 4 in each case.  Choose the correct option:  A) 170  B) 172  C) 174  D) 176  E) 178

Rationale: "the least number which when divided by different divisors leaving the same remainder in each case = lcm ( different divisors ) + remainder left in each case . hence the required least number = lcm ( 31 , 5 ) + 4 = 174 . answer : c"
Answer: C