Question

find the lcm of 8,10and12​

Answer 1

To find

⟹ The LCM of the following numbers

⟹ LCM of (8,10,12), is 120.

⟹ Because 120 is the first number to appear on both lists of multiples(8,10,12)

⟹ 120 is the LCM of 8, 10 and 12.

More information

⟹ LCM is also known as Least Common Factor of any number.

⟹ All number should have LCM

One more Example of LCM

To Find :-

LCM of 2 and 4 =?

Here the LCM is 4 because it's come on both the multiples.

Hence the LCM of 8 10 and 12 is 120

Answer 2

Answer:

The lcm of 8,10and12​​ is 120.

Step-by-step explanation:

Given: The numbers are 8,10and12​​.

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 8,10and12​​.

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

Prime Factorization of 8 is:

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

Prime Factorization of 10 is:

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

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, 2, 3, 5

Multiplying these factors together to find the LCM.

$LCM = 2 \times 2 \times 2 \times 3 \times 5 = 120$

Therefore,

LCM(8, 10, 12) = 120