The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 13 is:  Choose one:  A) 448  B) 553  C) 542  D) 548  E) 560

Rationale: "required number = ( l . c . m . of 12 , 15 , 20 , 54 ) + 13 = 540 + 13 = 553 . answer : b"
Answer: B