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LCM of 579, 118, 419, 824, 679

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


Find the LCM of 579, 118, 419, 824, 679 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, 118, 419, 824, 679. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 579,118,419,824,679

Given numbers are 579,118,419,824,679

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

The LCM of 579,118,419,824,679 is 8008323056664.

Find LCM of 579,118,419,824,679 with Prime Factorization


2 579, 118, 419, 824, 679
579, 59, 419, 412, 679

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

2 x 579 x 59 x 419 x 412 x 679 = 8008323056664

Therefore, the lowest common multiple of 579,118,419,824,679 is 8008323056664.

LCM Formula to Find Lowest Common Multiple of 579,118,419,824,679

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 118 x 419 x 824 x 679 = 16016646113328

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

118 : 1, 2, 59, 118

419 : 1, 419

824 : 1, 2, 4, 8, 103, 206, 412, 824

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,118,419,824,679, is 1.

Now, the common factors can be found like this.

579:3x 193

118:2x 59

419:419

824:2x 2x 2x 103

679:7x 97

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 = 16016646113328/(1x2)

LCM = 16016646113328/2

LCM = 8008323056664

Thus, we can understand that the LCM of 579,118,419,824,679 is 8008323056664.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 579, 118, 419, 824, 679

1. What is the LCM of 579, 118, 419, 824, 679?

Answer: LCM of 579, 118, 419, 824, 679 is 8008323056664.

2. How to calculate the LCM of 579, 118, 419, 824, 679?

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, 118, 419, 824, 679.

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}.