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LCM of 478, 284, 256, 507, 395

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


Find the LCM of 478, 284, 256, 507, 395 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 478, 284, 256, 507, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 478,284,256,507,395

Given numbers are 478,284,256,507,395

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

The LCM of 478,284,256,507,395 is 869963976960.

Find LCM of 478,284,256,507,395 with Prime Factorization


2 478, 284, 256, 507, 395
2 239, 142, 128, 507, 395
239, 71, 64, 507, 395

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

2 x 2 x 239 x 71 x 64 x 507 x 395 = 869963976960

Therefore, the lowest common multiple of 478,284,256,507,395 is 869963976960.

LCM Formula to Find Lowest Common Multiple of 478,284,256,507,395

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.

478 x 284 x 256 x 507 x 395 = 6959711815680

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.

478 : 1, 2, 239, 478

284 : 1, 2, 4, 71, 142, 284

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

507 : 1, 3, 13, 39, 169, 507

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,284,256,507,395, is 1.

Now, the common factors can be found like this.

478:2x 239

284:2x 2x 71

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

507:3x 13x 13

395:5x 79

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6959711815680/(1x8)

LCM = 6959711815680/8

LCM = 869963976960

Thus, we can understand that the LCM of 478,284,256,507,395 is 869963976960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 478, 284, 256, 507, 395

1. What is the LCM of 478, 284, 256, 507, 395?

Answer: LCM of 478, 284, 256, 507, 395 is 869963976960.

2. How to calculate the LCM of 478, 284, 256, 507, 395?

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 478, 284, 256, 507, 395.

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}.