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Question
Find the greatest number of five digits exactly divisible by 9, 12, 15, 18 and 24.
Solution
First, we will find the LCM of 9, 12, 15, 18 and 24
∴ LCM of the numbers = 23× 32× 5
= 360
The least six-digit number = 100000
The greatest five-digit number divisible by 360
will be the quotient of `100000/360` multiplied by 360
So, the greatest five-digit number exactly divisible by the given numbers will be
360×277 = 99720
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