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LCM of 512, 385, 455, 858

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


Find the LCM of 512, 385, 455, 858 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 512, 385, 455, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 512,385,455,858

Given numbers are 512,385,455,858

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

The LCM of 512,385,455,858 is 7687680.

Find LCM of 512,385,455,858 with Prime Factorization


2 512, 385, 455, 858
5 256, 385, 455, 429
7 256, 77, 91, 429
11 256, 11, 13, 429
13 256, 1, 13, 39
256, 1, 1, 3

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

2 x 5 x 7 x 11 x 13 x 256 x 1 x 1 x 3 = 7687680

Therefore, the lowest common multiple of 512,385,455,858 is 7687680.

LCM Formula to Find Lowest Common Multiple of 512,385,455,858

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.

512 x 385 x 455 x 858 = 76953676800

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.

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

385 : 1, 5, 7, 11, 35, 55, 77, 385

455 : 1, 5, 7, 13, 35, 65, 91, 455

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,385,455,858, is 1.

Now, the common factors can be found like this.

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

385:5x 7x 11

455:5x 7x 13

858:2x 3x 11x 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 5x 7x 11x 13 = 10010

Therefore, the value for common factors is 10010.

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 = 76953676800/(1x10010)

LCM = 76953676800/10010

LCM = 7687680

Thus, we can understand that the LCM of 512,385,455,858 is 7687680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 512, 385, 455, 858

1. What is the LCM of 512, 385, 455, 858?

Answer: LCM of 512, 385, 455, 858 is 7687680.

2. How to calculate the LCM of 512, 385, 455, 858?

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 512, 385, 455, 858.

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}.