Question

The smallest 3 sight number which is exactly divisible by 6 ,8,9

Answer 1

Answer:

36

Step-by-step explanation:

Answer 2

Answer:The required three digit number is 120 which exactly divisible by 6,8,12.

Step-by-step explanation:To find :

Determine the smallest 3-digit no. exactly divisible by 6,8,12

Solution :

To get the number divisible by 6,8 and 12 we have to find the LCM of the numbers.

2 | 6 8 12

2 | 3 4 6

2 | 3 2 3

3 | 3 1 3

| 1 1 1

So, LCM(6,8,12)=2\times 2\times 2\times 3

LCM(6,8,12)=24

As 24 is the number which is divisible by 6,8,12 but it is of two digit number.

As 24 is divisible so 24\times 2,24\times3,24\times4,24\times5,.. were also divisible.

24\times 2=48\\24\times 3=72\\24\times 4=96\\24\times 5=120

As 120 is the three digit number.

Therefore, The required three digit number is 120 which exactly divisible by 6,8,12.