Question

Question #dddc8

Answer 1

The lowest common multiple is `180`. See explanation.

Explanation:

The lowest common multiple of 2 numbers `a` and `b` can be calculated as:

`lcm(a,b)=(axxb)/(gcd(a,b))`

If we have more than two numbers we have to calculate is as:

`lcm(a,b,c)=lcm(a,lcm(b,c))`

In other words first we calculate `lcm` of 2 given numbers and next `lcm` of the result and the third given number:

Here it is:

`lcm(12,10,18)=lcm(12,lcm(10,18))`

First let's calculate `lcm(10,18)`

`lcm(10,18)=(10*18)/(gcd(10,18))=180/2=90`

Now the `lcm` of 3 numbers can be calculated as:

`lcm(12,10,18)=lcm(12,90)=(12*90)/(gcd(12,90))=`

`=1080/6=180`