Question

what is the smallest 5 digit number divisible by 5,10,15

Answer 1

Hey friend, Harish here.

Here is your answer:

The smallest 5 digit number is 10,000

First We must find the LCM of these numbers.

⇒ 5 = 5 × 1

⇒10 = 2 × 5

⇒15 = 3 × 5

LCM = 2 × 3 × 5 = 30.

Now we must find, Multiple of 30 nearest to 10,000.

Then,

$[ \frac{10,000}{30}] = 333.$

Therefore the smallest 5 digit number that is divisible by 5, 10 ,15 is :

30 × (333 +1) = 30 × 334 = 10020.
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Hope my answer is helpful to you,