Find the greatest number of four digits which is exactly divisible by 12, 16, 24, 28 and 36.
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That means that 144 will fit into 9999 no more than 69 times (and 70*144=10080 is greater than 9999). Therefore, the greatest 4-digit number exactly divisible by 12, 16, 24, 28, and 36 is the product 144*69.
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