What are the Factors of 47872 ?

Factors of 47872 are . There are integers that are factors of 47872.

How to Find the LCM of 256, 176, 256, 748 ?

Least Common Multiple of 256, 176, 256, 748 = 47872 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, 176, 256, 748) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 17 = 47872.

What are the Factors of 47872 ?

Factors of 47872 are . There are integers that are factors of 47872.

How to Find the LCM of 256, 176, 256, 748 ?

Least Common Multiple of 256, 176, 256, 748 = 47872 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, 176, 256, 748) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 17 = 47872.

LCM of 256, 176, 256, 748

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

Find the LCM of 256, 176, 256, 748 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, 176, 256, 748. So, keep reading to learn more.

Calculate the LCM of 256,176,256,748

Given numbers are 256,176,256,748

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

The LCM of 256,176,256,748 is 47872.

Find LCM of 256,176,256,748 with Prime Factorization

2	256, 176, 256, 748
2	128, 88, 128, 374
2	64, 44, 64, 187
2	32, 22, 32, 187
2	16, 11, 16, 187
2	8, 11, 8, 187
2	4, 11, 4, 187
2	2, 11, 2, 187
11	1, 11, 1, 187
	1, 1, 1, 17

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 11 x 1 x 1 x 1 x 17 = 47872

Therefore, the lowest common multiple of 256,176,256,748 is 47872.

LCM Formula to Find Lowest Common Multiple of 256,176,256,748

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 176 x 256 x 748 = 8627683328

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

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,176,256,748, is 4.

Now, the common factors can be found like this.

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

176:2x 2x 2x 2x 11

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

748:2x 2x 11x 17

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 2x 2x 2x 11 = 45056

Therefore, the value for common factors is 45056.

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 = 8627683328/(4x45056)

LCM = 8627683328/180224

LCM = 47872

Thus, we can understand that the LCM of 256,176,256,748 is 47872.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 256, 176, 256, 748

1. What is the LCM of 256, 176, 256, 748?

Answer: LCM of 256, 176, 256, 748 is 47872.

2. How to calculate the LCM of 256, 176, 256, 748?

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, 176, 256, 748.

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}.