Question

What is the lcm of 56 and 136

Answer 1

`LCM(56,136)=952`

Explanation:

To find the LCM of two numbers, factorize both these numbers:

`56=2\cdot 28=2\cdot 2\cdot 14=2\cdot 2\cdot 2\cdot 7=2^3\cdot 7\\ \\136=2\cdot 68=2\cdot 2\cdot 34=2\cdot 2\cdot 2\cdot 17=2^3\cdot 17`

These two numbers have the common factor of
`2^3.`

Now multiply this common factor by the remaining factors:

`LCM(56,136)=2^3 \cdot 7\cdot 17=952`

Therefore, the LCM is 952.