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LCM of 908, 893, 817, 801

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


Find the LCM of 908, 893, 817, 801 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 908, 893, 817, 801. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 908,893,817,801

Given numbers are 908,893,817,801

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

The LCM of 908,893,817,801 is 27927899892.

Find LCM of 908,893,817,801 with Prime Factorization


19 908, 893, 817, 801
908, 47, 43, 801

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

19 x 908 x 47 x 43 x 801 = 27927899892

Therefore, the lowest common multiple of 908,893,817,801 is 27927899892.

LCM Formula to Find Lowest Common Multiple of 908,893,817,801

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.

908 x 893 x 817 x 801 = 530630097948

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.

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

893 : 1, 19, 47, 893

817 : 1, 19, 43, 817

801 : 1, 3, 9, 89, 267, 801

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,893,817,801, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

893:19x 47

817:19x 43

801:3x 3x 89

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

19 = 19

Therefore, the value for common factors is 19.

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 = 530630097948/(1x19)

LCM = 530630097948/19

LCM = 27927899892

Thus, we can understand that the LCM of 908,893,817,801 is 27927899892.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 908, 893, 817, 801

1. What is the LCM of 908, 893, 817, 801?

Answer: LCM of 908, 893, 817, 801 is 27927899892.

2. How to calculate the LCM of 908, 893, 817, 801?

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 908, 893, 817, 801.

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}.