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In the above problem what is the least possible number of 5 digits which divisible by all the number 32, 36 and 40.

Answer»

Solution :Since the least possible no. is 1440, but it is a four digit number.
So we can take the INTEGRAL multiples of 1440 which must be divisible by the given numbers.
Now since the least possible 5 digit is 10000, so the REQUIRED must be EQUAL to or GREATER than 10000. So when we multiply 1440 by 7 . We get the required result i.e. , 10,080. Thus 10080 is the least possible 5 digit number which is divisible by 32, 36 and 40.


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