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LCM of 874, 863, 581, 908, 311

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


Find the LCM of 874, 863, 581, 908, 311 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 874, 863, 581, 908, 311. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 874,863,581,908,311

Given numbers are 874,863,581,908,311

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

The LCM of 874,863,581,908,311 is 61874913189068.

Find LCM of 874,863,581,908,311 with Prime Factorization


2 874, 863, 581, 908, 311
437, 863, 581, 454, 311

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

2 x 437 x 863 x 581 x 454 x 311 = 61874913189068

Therefore, the lowest common multiple of 874,863,581,908,311 is 61874913189068.

LCM Formula to Find Lowest Common Multiple of 874,863,581,908,311

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.

874 x 863 x 581 x 908 x 311 = 123749826378136

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

863 : 1, 863

581 : 1, 7, 83, 581

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

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,863,581,908,311, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

863:863

581:7x 83

908:2x 2x 227

311:311

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 = 123749826378136/(1x2)

LCM = 123749826378136/2

LCM = 61874913189068

Thus, we can understand that the LCM of 874,863,581,908,311 is 61874913189068.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 874, 863, 581, 908, 311

1. What is the LCM of 874, 863, 581, 908, 311?

Answer: LCM of 874, 863, 581, 908, 311 is 61874913189068.

2. How to calculate the LCM of 874, 863, 581, 908, 311?

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 874, 863, 581, 908, 311.

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}.