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LCM of 901, 454, 256, 386

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


Find the LCM of 901, 454, 256, 386 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 901, 454, 256, 386. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,454,256,386

Given numbers are 901,454,256,386

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

The LCM of 901,454,256,386 is 10105270016.

Find LCM of 901,454,256,386 with Prime Factorization


2 901, 454, 256, 386
901, 227, 128, 193

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

2 x 901 x 227 x 128 x 193 = 10105270016

Therefore, the lowest common multiple of 901,454,256,386 is 10105270016.

LCM Formula to Find Lowest Common Multiple of 901,454,256,386

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.

901 x 454 x 256 x 386 = 40421080064

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.

901 : 1, 17, 53, 901

454 : 1, 2, 227, 454

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

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,454,256,386, is 1.

Now, the common factors can be found like this.

901:17x 53

454:2x 227

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

386:2x 193

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 40421080064/(1x4)

LCM = 40421080064/4

LCM = 10105270016

Thus, we can understand that the LCM of 901,454,256,386 is 10105270016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 454, 256, 386

1. What is the LCM of 901, 454, 256, 386?

Answer: LCM of 901, 454, 256, 386 is 10105270016.

2. How to calculate the LCM of 901, 454, 256, 386?

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 901, 454, 256, 386.

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}.