Answer: Option D
:
D
We first find theL.C.M of 6, 9, 15 and 18, which is90.
Forgetting remainder 4, we need to add 4 to it.
i.e.,90+4 = 94.
But, 94 is not divisible by7. So, we proceed with thenext multiple of 90, which is 180.
Adding 4 to 180, we get 184, which is also not divisible by 7.
The next multiple of 90 is270.
Adding 4 to 270, we get274, againnot divisible by 7.
The next multiple of 90 is 360.
Adding 4 to it gives us 364, divisible by 7(as $\frac{364}{7}=52$).
Hence, the answer is 364.