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LCM of 586, 401, 496, 383, 823

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


Find the LCM of 586, 401, 496, 383, 823 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 586, 401, 496, 383, 823. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,401,496,383,823

Given numbers are 586,401,496,383,823

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

The LCM of 586,401,496,383,823 is 18369286114352.

Find LCM of 586,401,496,383,823 with Prime Factorization


2 586, 401, 496, 383, 823
293, 401, 248, 383, 823

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

2 x 293 x 401 x 248 x 383 x 823 = 18369286114352

Therefore, the lowest common multiple of 586,401,496,383,823 is 18369286114352.

LCM Formula to Find Lowest Common Multiple of 586,401,496,383,823

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.

586 x 401 x 496 x 383 x 823 = 36738572228704

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.

586 : 1, 2, 293, 586

401 : 1, 401

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

383 : 1, 383

823 : 1, 823

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,401,496,383,823, is 1.

Now, the common factors can be found like this.

586:2x 293

401:401

496:2x 2x 2x 2x 31

383:383

823:823

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 = 36738572228704/(1x2)

LCM = 36738572228704/2

LCM = 18369286114352

Thus, we can understand that the LCM of 586,401,496,383,823 is 18369286114352.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 401, 496, 383, 823

1. What is the LCM of 586, 401, 496, 383, 823?

Answer: LCM of 586, 401, 496, 383, 823 is 18369286114352.

2. How to calculate the LCM of 586, 401, 496, 383, 823?

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 586, 401, 496, 383, 823.

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}.