Question

finf lcm of 4 and 12​

Answer 1

Answer:

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What is the LCM of 4 and 12?

The lcm of 4 and 12 is 12.

Steps to find LCM

• Find the prime factorization of 4

4 = 2 × 2

• Find the prime factorization of 12

12 = 2 × 2 × 3

• Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 ×

_____________

LCM = 12

_____________

Answer 2

Given: The numbers are$4 \ and\ 12$.

We have to find the LCM of the above numbers.

We are solving in the following way:

We have,

The numbers are$4 \ and\ 12$.

Prime Factorization of 4 is:

$2 \times 2 => 2^2$

Prime Factorization of 12 is:

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

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 is

$2, 2, 3$

Multiply these factors together to find the LCM.

LCM = $2 \times 2 \times 3 = 12$

In exponential form:

LCM = $2^2 \times 3^1 = 12$

LCM = $12$

Hence, the LCM of the above numbers is$12$.