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what is the greatest number of 5 digit exactly divisible by 9,12,15,18,24 ?

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we know that the largest 5 digit no. is 99999.

the next step will be to find the lcm of 9,12,15,18,24 which is equal to 360.

now if a no. is divisible by 360, it will be divisible by all the above mentioned no.

Now divide 99999 by 360

we get quotient as 277 and remainder as 270 which means that 99999 is not completely divisible by 360. to make it divisible subtract the remainder , 270 from 99999

99999 - 270 = 99729

99729 is completely divisible by 270 hence, it is divisible by 9,12,15,18,24

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99729

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99729

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