Math, asked by shubham247023, 9 months ago

find the LCM 4,12,20​

Answers

Answered by rahul882616
4

Answer:

Lcm of 4,12 and 20 is 60

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Answered by sheeb12ansari
0

Answer:

The lcm of 4, 12, and 20​​ is 60.

Step-by-step explanation:

Given: The numbers are 4, 12, and 20​​.

We have to find the lcm of the above numbers.

  • As we know, LCM denotes the least common factor or multiple of any two or more given integers.  

We are solving in the following way:

We have,

The numbers are 4, 12, and 20​​.

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

Prime Factorization of 4 is:

2 \times 2  =>  2^2

Prime Factorization of 12 is:

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

Prime Factorization of 20 is:

2 \times 2 \times 5  =>  2^2 \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 \times 2  \times 3  \times 5 = 60

Therefore,

LCM(4, 12, 20) = 60

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