Question

Find the greatest number of five digits that is exactly divisible by 16 18 24 and 30

Answer 1

hye

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we have to Find the greatest number of five digits that is exactly divisible by 16 18 24 and 30

=>et us find the lcm 0f  16 18 24 and 30

=>prime facoristaion of 16 = 2*2*2*2


     prime facoristaion of 18 = 2*3*3


prime facoristaion of 24 = 2*2*2*3

prime facoristaion of 30 = 2*3*5
common facotors are  2,2,2,2,3,3,5


=>2*2*2*2*3*3*5 = 720
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greatest 5 digit = 99999


=>Now lets  divide 99999/720 

=138.8875

lets convert into a whole number 

138[rounded off]

so answer = 138*720

                    = 99360

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hope it helps u........