Math, asked by playbackisf, 1 year ago

LCM of 30,24,40 find lcm​

Answers

Answered by Lokesh05
8

Answer:

120 is the LCM

Step-by-step explanation:

→→→→

2| 30,24,40

3| 15,12,20

5| 5 ,4 ,20

4| 1,4,4

| 1,1,1

Hence, LCM of 30,24,40 = 2*3*5*4= 120

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Answered by sheeb12ansari
0

Answer:

The LCM of 30, 24, and 40 is 120.

Step-by-step explanation:

Given: The numbers are 30, 24, and 40.

We have to find the LCM of the above numbers.

We are solving in the following way:

We have,  

The numbers are 30, 24, and 40.

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

Prime Factorization of 24 is:

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

Prime Factorization of 30 is:

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

Prime Factorization of 40 is:

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

So, 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(24, 30, 40) = 120

Note:

Q. Find the LCM of 30, 24, and 40.

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