# Consecutive integers

Let $$a < b < c < d$$ be four consecutive positive integers such that

• $$a$$ is divisible by 5,
• $$b$$ is divisible by 7,
• $$c$$ is divisible by 9, and
• $$d$$ is divisible by 11.

Find the minimum value of $$a+b+c+d.$$

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