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LCM of 317, 572, 674, 824

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


Find the LCM of 317, 572, 674, 824 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 317, 572, 674, 824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 317,572,674,824

Given numbers are 317,572,674,824

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

The LCM of 317,572,674,824 is 12587874728.

Find LCM of 317,572,674,824 with Prime Factorization


2 317, 572, 674, 824
2 317, 286, 337, 412
317, 143, 337, 206

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

2 x 2 x 317 x 143 x 337 x 206 = 12587874728

Therefore, the lowest common multiple of 317,572,674,824 is 12587874728.

LCM Formula to Find Lowest Common Multiple of 317,572,674,824

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.

317 x 572 x 674 x 824 = 100702997824

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.

317 : 1, 317

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

674 : 1, 2, 337, 674

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,572,674,824, is 1.

Now, the common factors can be found like this.

317:317

572:2x 2x 11x 13

674:2x 337

824:2x 2x 2x 103

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 = 100702997824/(1x8)

LCM = 100702997824/8

LCM = 12587874728

Thus, we can understand that the LCM of 317,572,674,824 is 12587874728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 317, 572, 674, 824

1. What is the LCM of 317, 572, 674, 824?

Answer: LCM of 317, 572, 674, 824 is 12587874728.

2. How to calculate the LCM of 317, 572, 674, 824?

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 317, 572, 674, 824.

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}.