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Question
Find the least five digit number that is exactly divisible by 9, 12, 15, 18 and 24.
Find the least five digit number that is exactly divisible by 9, 12, 15, 18 and 24.
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Solution
The LCM of 9,12,15,18,24 is 360
The 5 digit number starts with 10,000 and ends with 99,999
if we divide 10,000 with 360, we get answer as 27.77777 so if we multiply 360 with 28(choose the next integer to 27.7) we should get the least integer close to 10,000
so ans =360* 28 =10080
The 5 digit number starts with 10,000 and ends with 99,999
if we divide 10,000 with 360, we get answer as 27.77777 so if we multiply 360 with 28(choose the next integer to 27.7) we should get the least integer close to 10,000
so ans =360* 28 =10080
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