Question

Find the smallest 5 digit number divisible by 9,12,15​

Answer 1

Step-by-step explanation:

the 5 smallest is 12159 this is the the answer.

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Answer 2

Given:

Smallest 5 digit number which is divisible by 9,12,15​

To find :

The smallest 5 digit number divisible by 9,12,15​

Solution:

Step 1 of 2:

The smallest 5 digit number = 10000

L.C.M of 9, 12, 15 is,

9 = 3 × 3

12 = 2 × 2 × 3

15 = 3 × 5

The L.C.M = 2 × 2 × 3 × 3 × 5

L.C.M = 180

Divide the Smallest 5 digit number by 180,

When dividing 10000 by 180 we get quotient as 55 and remainder as 100.

Step 2 of 2:

The smallest 5 digit number divisible by 9,12,15​ is,

10000 + ( L.C.M - Remainder )

10000 + 180 - 100 = 10080

Final answer:

The smallest 5 digit number divisible by 9, 12, 15​ is 10080