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LCM of 797, 908, 817, 808

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


Find the LCM of 797, 908, 817, 808 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 797, 908, 817, 808. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,908,817,808

Given numbers are 797,908,817,808

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

The LCM of 797,908,817,808 is 119431144984.

Find LCM of 797,908,817,808 with Prime Factorization


2 797, 908, 817, 808
2 797, 454, 817, 404
797, 227, 817, 202

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

2 x 2 x 797 x 227 x 817 x 202 = 119431144984

Therefore, the lowest common multiple of 797,908,817,808 is 119431144984.

LCM Formula to Find Lowest Common Multiple of 797,908,817,808

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.

797 x 908 x 817 x 808 = 477724579936

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.

797 : 1, 797

908 : 1, 2, 4, 227, 454, 908

817 : 1, 19, 43, 817

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,908,817,808, is 1.

Now, the common factors can be found like this.

797:797

908:2x 2x 227

817:19x 43

808:2x 2x 2x 101

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 = 477724579936/(1x4)

LCM = 477724579936/4

LCM = 119431144984

Thus, we can understand that the LCM of 797,908,817,808 is 119431144984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 908, 817, 808

1. What is the LCM of 797, 908, 817, 808?

Answer: LCM of 797, 908, 817, 808 is 119431144984.

2. How to calculate the LCM of 797, 908, 817, 808?

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 797, 908, 817, 808.

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}.