Question

find the lcm of 96,72
​

Answer 1

Answer:

the lcm of 96.72

=2×2×6×1.0075

=24.18 is the lcm

Answer 2

Answer:

The lcm of 96 and 72​ is 288.

Step-by-step explanation:

Given: The numbers are 96 and 72​.

We have to find the lcm of the above numbers.

• As we know, the lcm is the least number, which is exactly divisible, by two or more numbers.

We are solving in the following way:

We have,

The numbers are 96 and 72​.

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

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, 3, 3

Multiplying these factors together to find the LCM:

$LCM = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 = 288$

Therefore,

LCM(72, 96) = 288