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LCM of 579, 958, 456, 153, 599

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


Find the LCM of 579, 958, 456, 153, 599 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, 958, 456, 153, 599. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 579,958,456,153,599

Given numbers are 579,958,456,153,599

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

The LCM of 579,958,456,153,599 is 1287818511768.

Find LCM of 579,958,456,153,599 with Prime Factorization


2 579, 958, 456, 153, 599
3 579, 479, 228, 153, 599
193, 479, 76, 51, 599

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

2 x 3 x 193 x 479 x 76 x 51 x 599 = 1287818511768

Therefore, the lowest common multiple of 579,958,456,153,599 is 1287818511768.

LCM Formula to Find Lowest Common Multiple of 579,958,456,153,599

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 958 x 456 x 153 x 599 = 23180733211824

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

958 : 1, 2, 479, 958

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

153 : 1, 3, 9, 17, 51, 153

599 : 1, 599

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,958,456,153,599, is 1.

Now, the common factors can be found like this.

579:3x 193

958:2x 479

456:2x 2x 2x 3x 19

153:3x 3x 17

599:599

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 23180733211824/(1x18)

LCM = 23180733211824/18

LCM = 1287818511768

Thus, we can understand that the LCM of 579,958,456,153,599 is 1287818511768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 579, 958, 456, 153, 599

1. What is the LCM of 579, 958, 456, 153, 599?

Answer: LCM of 579, 958, 456, 153, 599 is 1287818511768.

2. How to calculate the LCM of 579, 958, 456, 153, 599?

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, 958, 456, 153, 599.

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}.