Question

LCM of 49,35
plz step by step​

Answer 1

Given: $49,\ and \ 35$

We have to find the LCM of$49,\ and \ 35$

We are solving in the following way:

We have,

$49,\ and \ 35$

Prime Factorization of 35 is:

$5 \times 7 => 5^{1} \times7^{1}$

Prime Factorization of 49 is:

$7 \times 7 => 7^{2}$

For each prime factor, we will find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is:

$5, 7, 7$

Multiplying these factors together to find the LCM:

LCM = $5 \times 7 \times 7 = 245$

Hence, the LCM of the above numbers is$245$.