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LCM of 577, 886, 366, 131, 634

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


Find the LCM of 577, 886, 366, 131, 634 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 577, 886, 366, 131, 634. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 577,886,366,131,634

Given numbers are 577,886,366,131,634

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

The LCM of 577,886,366,131,634 is 3885001426902.

Find LCM of 577,886,366,131,634 with Prime Factorization


2 577, 886, 366, 131, 634
577, 443, 183, 131, 317

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

2 x 577 x 443 x 183 x 131 x 317 = 3885001426902

Therefore, the lowest common multiple of 577,886,366,131,634 is 3885001426902.

LCM Formula to Find Lowest Common Multiple of 577,886,366,131,634

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.

577 x 886 x 366 x 131 x 634 = 15540005707608

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.

577 : 1, 577

886 : 1, 2, 443, 886

366 : 1, 2, 3, 6, 61, 122, 183, 366

131 : 1, 131

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,886,366,131,634, is 1.

Now, the common factors can be found like this.

577:577

886:2x 443

366:2x 3x 61

131:131

634:2x 317

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 = 15540005707608/(1x4)

LCM = 15540005707608/4

LCM = 3885001426902

Thus, we can understand that the LCM of 577,886,366,131,634 is 3885001426902.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 577, 886, 366, 131, 634

1. What is the LCM of 577, 886, 366, 131, 634?

Answer: LCM of 577, 886, 366, 131, 634 is 3885001426902.

2. How to calculate the LCM of 577, 886, 366, 131, 634?

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 577, 886, 366, 131, 634.

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}.