The smallest number which when diminished by 4, is divisible by 12, 16, 18, 21 and 28 is Choose the correct answer:
A) 1008
B) 1012
C) 1022
D) 1032
E) 1043

Rationale: "required number = ( l . c . m of 12 , 16 , 18 , 21,28 ) + 4 = 1008 + 4 = 1012 answer : b"
Answer: B