Question

16,24,48 find the lcm​

Answer 1

Answer:

48

Step-by-step explanation:

16,24 and 48 can be divided by 2.

Then we will divide them by 2,so the answer is 8,12 and 24.

One more time we'll divide it with 2,so the answer is4,6 and 12.

They are divisible by 2, so the answer is 2,3 and 6.

3 and 6 are divisible by 3 .

There answers are1 and 2

One 2 remains there. So,they are divisible by 2 ;then we have multiples 2×2×2×3×2=48

Answer 2

Answer:

The lcm of 16, 24, and 48 is 48.

Step-by-step explanation:

Given: The numbers are 16, 24, and 48.

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 16, 24, and 48.

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

Prime Factorization of 16 is:

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

Prime Factorization of 24 is:

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

Prime Factorization of 48 is:

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

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, 3

Multiplying these factors together to find the LCM:

LCM = 2 x 2 x 2 x 2 x 3 = 48

Therefore,

LCM(16, 24, 48) = 48