Think for it ?

Number Theory Level 3

What is lowest common multiple of $2$ and $\sqrt{2}$ .

\sqrt{2}

2

\sqrt{2}

Doesn't exist

2

1 solution

Yash Dev Lamba
Feb 9, 2016

Multiples of 2 are 2,4,6,8,10,......

Multiples of $\sqrt{2}$ are $\sqrt{2}$ , 2 $\sqrt{2}$ , 3 $\sqrt{2}$ ,4 $\sqrt{2}$ , 5 $\sqrt{2}$ ,....

There are no common multiple .

Therefore, LCM doesn't exists..

But sq. Root of 2 can be a factor of 2 and of course its a factor of itself

Chaitnya Shrivastava - 5 years, 4 months ago

It is not the integral factor

Yash Dev Lamba - 5 years, 4 months ago

Thats what i was trying to say i think the solution is incorrect 😅

Chaitnya Shrivastava - 5 years, 4 months ago