Correct option is D
Given:
Divisors = 3, 7, 11, 13
Target = Largest 4-digit number
Formula Used:
LCM of prime numbers is their product.
Solution:
Since 3, 7, 11, and 13 are all prime numbers, their LCM is their direct product.
LCM = 3 × 7 × 11 × 13 = 3 × 1001 = 3003.
Any number divisible by all of them must be a multiple of their LCM (3003).
We look for the largest multiple of 3003 that is still a 4-digit number.
Multiples of 3003 are: 3003, 6006, 9009, 12012...
The largest 4-digit multiple is 9009.
Final Answer
So the correct answer is (d)
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