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LCM of 841, 808, 575, 478

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


Find the LCM of 841, 808, 575, 478 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 841, 808, 575, 478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 841,808,575,478

Given numbers are 841,808,575,478

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

The LCM of 841,808,575,478 is 93384135400.

Find LCM of 841,808,575,478 with Prime Factorization


2 841, 808, 575, 478
841, 404, 575, 239

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

2 x 841 x 404 x 575 x 239 = 93384135400

Therefore, the lowest common multiple of 841,808,575,478 is 93384135400.

LCM Formula to Find Lowest Common Multiple of 841,808,575,478

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.

841 x 808 x 575 x 478 = 186768270800

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.

841 : 1, 29, 841

808 : 1, 2, 4, 8, 101, 202, 404, 808

575 : 1, 5, 23, 25, 115, 575

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,808,575,478, is 1.

Now, the common factors can be found like this.

841:29x 29

808:2x 2x 2x 101

575:5x 5x 23

478:2x 239

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

2 = 2

Therefore, the value for common factors is 2.

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 = 186768270800/(1x2)

LCM = 186768270800/2

LCM = 93384135400

Thus, we can understand that the LCM of 841,808,575,478 is 93384135400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 841, 808, 575, 478

1. What is the LCM of 841, 808, 575, 478?

Answer: LCM of 841, 808, 575, 478 is 93384135400.

2. How to calculate the LCM of 841, 808, 575, 478?

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 841, 808, 575, 478.

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}.