What are the Factors of 242361600 ?

Factors of 242361600 are . There are integers that are factors of 242361600.

How to Find the LCM of 256, 384, 971, 325 ?

Least Common Multiple of 256, 384, 971, 325 = 242361600 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(256, 384, 971, 325) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 971 = 242361600.

What are the Factors of 242361600 ?

Factors of 242361600 are . There are integers that are factors of 242361600.

How to Find the LCM of 256, 384, 971, 325 ?

Least Common Multiple of 256, 384, 971, 325 = 242361600 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(256, 384, 971, 325) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 971 = 242361600.

LCM of 256, 384, 971, 325

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

Find the LCM of 256, 384, 971, 325 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 256, 384, 971, 325. So, keep reading to learn more.

Calculate the LCM of 256,384,971,325

Given numbers are 256,384,971,325

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

The LCM of 256,384,971,325 is 242361600.

Find LCM of 256,384,971,325 with Prime Factorization

2	256, 384, 971, 325
2	128, 192, 971, 325
2	64, 96, 971, 325
2	32, 48, 971, 325
2	16, 24, 971, 325
2	8, 12, 971, 325
2	4, 6, 971, 325
	2, 3, 971, 325

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 2 x 3 x 971 x 325 = 242361600

Therefore, the lowest common multiple of 256,384,971,325 is 242361600.

LCM Formula to Find Lowest Common Multiple of 256,384,971,325

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.

256 x 384 x 971 x 325 = 31022284800

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.

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

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

971 : 1, 971

325 : 1, 5, 13, 25, 65, 325

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,384,971,325, is 1.

Now, the common factors can be found like this.

256:2x 2x 2x 2x 2x 2x 2x 2

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

971:971

325:5x 5x 13

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 2 = 128

Therefore, the value for common factors is 128.

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 = 31022284800/(1x128)

LCM = 31022284800/128

LCM = 242361600

Thus, we can understand that the LCM of 256,384,971,325 is 242361600.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 256, 384, 971, 325

1. What is the LCM of 256, 384, 971, 325?

Answer: LCM of 256, 384, 971, 325 is 242361600.

2. How to calculate the LCM of 256, 384, 971, 325?

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 256, 384, 971, 325.

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}.