What is the smallest number of five digits that can be exactly divided by 60, 80, and 90?

This type of questions mostly being asked in general maths.

So I m going to tell you how you can solve this type of  questions so easily.

Let's start

First of all get the factor of all given digits like this

Factors of 60 = 2,2,3,5

Factors of 80 = 2,2,2,2,5

Factors of 90 = 2,3,3,5

Now get the LCM of all digits,

LCM of 60,80,90 = 2*2*5*3*2*2*3

            = 720

Smallest 5-digits number = 10000

Now divide it by LCM

10000/720 = Divisor = 13

Remainder= 640

Now what choice we have to divide it exactly. One is, what should be subtracted  or what should be added to divide it exactly.

We can't subtract any number in this to divide it exactly because if we do it then number will be changed into 4 digits and we have to bring smallest five digits.

In this case we have only one way that what should be added in this to divide it exactly.

Then the remainder is 640 and we have 720 as divider.It mean we need = 720 - 640 = 80 to be added.

Now also add this number to minimum 5-digits number and you will get your answer.

Thus,

The smallest number of five digits that can be exactly divided by 60, 80, and 90 = 10000+80

          = 1080 Ans

You can check that this is the smallest number of five digits that can be exactly divided by 60, 80, and 90

*If any question, write down in the comments section.I'll be happy to help.

#Happy ☺ @help