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LCM of 579, 214, 455, 487, 214

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


Find the LCM of 579, 214, 455, 487, 214 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 579, 214, 455, 487, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 579,214,455,487,214

Given numbers are 579,214,455,487,214

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

The LCM of 579,214,455,487,214 is 27455711010.

Find LCM of 579,214,455,487,214 with Prime Factorization


2 579, 214, 455, 487, 214
107 579, 107, 455, 487, 107
579, 1, 455, 487, 1

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

2 x 107 x 579 x 1 x 455 x 487 x 1 = 27455711010

Therefore, the lowest common multiple of 579,214,455,487,214 is 27455711010.

LCM Formula to Find Lowest Common Multiple of 579,214,455,487,214

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.

579 x 214 x 455 x 487 x 214 = 5875522156140

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.

579 : 1, 3, 193, 579

214 : 1, 2, 107, 214

455 : 1, 5, 7, 13, 35, 65, 91, 455

487 : 1, 487

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,214,455,487,214, is 1.

Now, the common factors can be found like this.

579:3x 193

214:2x 107

455:5x 7x 13

487:487

214:2x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 5875522156140/(1x214)

LCM = 5875522156140/214

LCM = 27455711010

Thus, we can understand that the LCM of 579,214,455,487,214 is 27455711010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 579, 214, 455, 487, 214

1. What is the LCM of 579, 214, 455, 487, 214?

Answer: LCM of 579, 214, 455, 487, 214 is 27455711010.

2. How to calculate the LCM of 579, 214, 455, 487, 214?

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 579, 214, 455, 487, 214.

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}.