Question

Lcm of 42,49,63 lcm of this

Answer 1

Answer:

882

Step-by-step explanation:

49 = 72

63 = 32 • 7

42 = 2 • 3 • 7

Answer 2

In this problem, we are assuming that we have to find the LCM of the given numbers.

Q. Find the LCM of$42,49,\ and\ 63$.

Given: The numbers are$42,49,\ and\ 63$.

We have to find the lCM of the above numbers.

First, we will find all prime factors for each number.

Prime Factorization of 42 is:

$2 \times 3 \times 7 => 2^1 \times 3^1 \times 7^1$

Prime Factorization of 49 is:

$7 \times 7 => 7^2$

Prime Factorization of 63 is:

$3 \times 3 \times 7 => 3^2 \times 7^1$

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 will be:

$2, 3, 3, 7, 7$

Multiplying these factors together to find the LCM.

LCM = $2 \times 3 \times 3 \times 7 \times 7 = 882$

Hence the LCM of the given numbers is$882$.