What is the smallest number which when increased by 3 is divisible by 18, 70, 100 and 21?
Choices:
A) 5037
B) 5447
C) 5867
D) 6297
E) 6617

Rationale: "when increased by 3 , the number must include at least 2 ^ 2 * 3 ^ 2 * 5 ^ 2 * 7 = 6300 the answer is d ."
Answer: D