Find the largest 4 digit number which is completely divisible by each of the number 16,24,56 and 72
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The answer is 9999 divided by 144: 69 (with a fractional remainder that we will discard). 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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