Question

Find the lcm 16,18,24​

Answer 1

Answer:

144

Step-by-step explanation:

16=2x2x2x2

18=2x3x3

24=2x2x2x3

lcm=2×2×2×2×3×3

=16×9=144

Answer 2

Answer:

The lcm of 16, 18, and 24​​ is 144.

Step-by-step explanation:

Given: The numbers are 16, 18, and 24​​.

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, 18, and 24​​.

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

Prime Factorization of 16 is:

$2 \times2 \times 2 \times 2 => 2^4$

Prime Factorization of 18 is:

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

Prime Factorization of 24 is:

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

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, 3

Multiplying these factors together to find the LCM:

$LCM = 2 \times 2 \times 2 \times 2 \times 3 \times 3 = 144$

Therefore,

LCM(16, 18, 24) = 144

 

NOTE:

Q. Find the lcm of 16, 18, and 24.