Question

find the smallest 6 digit number exactly divisible by 10, 15, 20​

Answer 1

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Answer 2

Given:

10, 15, 20

To find:

The smallest 6 digit number that is exactly divisible by 10, 15, 20​

Solution:

The required number is 1,00,020.

We can obtain the required value by obtaining the LCM of 10, 15, and 20​.

The smallest 6-digit number=1,00,000

Now, the LCM of 10, 15, and 20=60

We will divide the smallest 6-digit number by the LCM obtained.

On dividing, we get the remainder equal to 40.

So, we will add (60-40) to the given number so that it is completely divisible by 60.

The required number=1,00,000+60-40

=1,00,020

So, 1,00,020 is completely divisible by 10, 15, and 20.

Therefore, the required number is 1,00,020.