What are the Factors of 13853184 ?

Factors of 13853184 are . There are integers that are factors of 13853184.

How to Find the LCM of 384, 348, 622, 512 ?

Least Common Multiple of 384, 348, 622, 512 = 13853184 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(384, 348, 622, 512) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 29 x 311 = 13853184.

What are the Factors of 13853184 ?

Factors of 13853184 are . There are integers that are factors of 13853184.

How to Find the LCM of 384, 348, 622, 512 ?

Least Common Multiple of 384, 348, 622, 512 = 13853184 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(384, 348, 622, 512) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 29 x 311 = 13853184.

LCM of 384, 348, 622, 512

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023

Find the LCM of 384, 348, 622, 512 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 384, 348, 622, 512. So, keep reading to learn more.

Calculate the LCM of 384,348,622,512

Given numbers are 384,348,622,512

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 384,348,622,512 is 13853184.

Find LCM of 384,348,622,512 with Prime Factorization

2	384, 348, 622, 512
2	192, 174, 311, 256
2	96, 87, 311, 128
2	48, 87, 311, 64
2	24, 87, 311, 32
2	12, 87, 311, 16
2	6, 87, 311, 8
3	3, 87, 311, 4
	1, 29, 311, 4

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 29 x 311 x 4 = 13853184

Therefore, the lowest common multiple of 384,348,622,512 is 13853184.

LCM Formula to Find Lowest Common Multiple of 384,348,622,512

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

384 x 348 x 622 x 512 = 42556981248

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

622 : 1, 2, 311, 622

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,348,622,512, is 2.

Now, the common factors can be found like this.

384:2x 2x 2x 2x 2x 2x 2x 3

348:2x 2x 3x 29

622:2x 311

512:2x 2x 2x 2x 2x 2x 2x 2x 2

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 2x 2x 2x 3 = 1536

Therefore, the value for common factors is 1536.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 42556981248/(2x1536)

LCM = 42556981248/3072

LCM = 13853184

Thus, we can understand that the LCM of 384,348,622,512 is 13853184.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 384, 348, 622, 512

1. What is the LCM of 384, 348, 622, 512?

Answer: LCM of 384, 348, 622, 512 is 13853184.

2. How to calculate the LCM of 384, 348, 622, 512?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 384, 348, 622, 512.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.