Question

the smallest four digit number which is exactly divided 6,9 and 15

Answer 1

Answer:

1080 is the smallest four digit number which is exactly divisible 6,9 and 15

Step-by-step explanation:

First we find the LCM of 6, 9 and 15

LCM of 6, 9 and 15 = 90

90 is the lowest number exactly divisible by 6, 9 and 15

And the multiples of 90 will also be exactly divisible by 6, 9 and 15

So, the lowest four digit number which is exactly divisible 6,9 and 15 must be a multiple of 90

How do we find this four digit number? Simple, we divide 1000 by 90 (Since 1000 is the lowest four digit number)

Dividing 1000 by 90 we get quotient as 11 and remainder as 10

So the 12th multiple of 90 must be smallest four digit number exactly divisible by 6,9 and 15.

12th multiple of 90 is

90×12 = 1080

Thus, 1080 is the smallest four digit number which is exactly divisible by 6,9 and 15

Hope it helps you!