What is the smallest number which when increased by 3 is divisible by 18, 70, 25 and 21?
Choose the correct answer
A) 2327 B) 2757 C) 3147 D) 3587 E) 3997

Rationale: "when increased by 3 , the number must include at least 2 * 3 ^ 2 * 5 ^ 2 * 7 = 3150 the answer is c ."
Answer: C