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936.

All numbers divisible by 12 and 13 are multiplies of the lowest common multiple of 12 and 13 which is 156.

999 ÷ 156 = 621/52

⇒ greatest multiple of 156 not bigger than 999 is 6 x 156 = 936.

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Q: What is the largest 3-digit number that is divisible by 12 and 13?
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