SOLUTION: Which smallest five digit number is divisible by 12, 18 and 30

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Question 1045029: Which smallest five digit number is divisible by 12, 18 and 30
Answer by ikleyn(52800) About Me  (Show Source):
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Which smallest five digit number is divisible by 12, 18 and 30
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Answer. The number under the question is 10080.

Below is my logic. 

LCM (Less Common Multiple) of 12, 18 and 30 is 180.

9000 is divisible by 180.

900 is divisible by 180.

9900 is divisible by 180.

The number under the question is 9900 + 180 = 10080.