Question

Find the least number of 5 digit that exactly divisible divisible by 16 18 24 and 30

Answer 1

hye

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let 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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Least Number of 5 digit=10000

Nowlets  divide 10000/720

=13.88

14[rounded off]

so answer = 14*720

                    = 10080

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hope it helps u.......