Question

Find LCM of 48,64,72,96

Answer 1

48,64,72,96 the no lcm is 864.

Answer 2

Answer:

The lcm of 48, 64, 72, and 96 is 576.

Step-by-step explanation:

Given: The numbers are 48, 64, 72, and 96.

We have to find the lcm of the above numbers.

• As we know, LCM denotes the least common factor or multiple of any two or more given integers.  

We are solving in the following way:

We have,

The numbers are 48, 64, 72, and 96.

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

Prime Factorization of 48 is:

$2 \times 2 \times 2 \times 2 \times 3 => 2^4 \times 3^1$

Prime Factorization of 64 is:

$2 \times 2 \times 2 \times 2 \times 2 \times 2 => 2^6$

Prime Factorization of 72 is:

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

Prime Factorization of 96 is:

$2 \times 2 \times 2 \times 2 \times 2 \times 3 => 2^5 \times 3^1$

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, 2, 2, 2, 2, 3, 3

Multiplying these factors together to find the LCM.

$LCM = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 = 576$

Therefore,

LCM(48, 64, 72, 96) = 576