1. Find the greatest number of 5 digits exactly divisible by 12, 15 and 36.
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The greatest 5 digit no. is 99999
The no. which is divisible by 12, 15 and 36 must be divisible by their LCM
LCM (12, 15, 36) = 180
On dividing 99999 by 180 we get 99 as remainder.
On Subtracting the remainder that is 99 from 99999 we get 99900 which is the required number.
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