Question

find the lcm of 30,60​

Answer 1

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Answer:

To sum up, the lcm of 30 and 60 is 60. In common notation: lcm (30,60) = 60.

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Answer 2

Answer:

The lcm of 30 and 60​​ is 60.

Step-by-step explanation:

Given: The numbers are 30 and 60​​.

We have to find the lcm of the above numbers.

• As we know that lcm is the smallest common multiple of two or more numbers.

We are solving in the following way:

We have,

The numbers are 30 and 60​​.

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

Prime Factorization of 30 is:

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

Prime Factorization of 60 is:

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

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, 3, 5

Multiplying these factors together to find the LCM:

$LCM = 2 \times2 \times 3 \times 5 = 60$

Therefore,

LCM(30, 60) = 60