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LCM of 580, 463, 551, 722

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


Find the LCM of 580, 463, 551, 722 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 580, 463, 551, 722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 580,463,551,722

Given numbers are 580,463,551,722

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

The LCM of 580,463,551,722 is 96942940.

Find LCM of 580,463,551,722 with Prime Factorization


2 580, 463, 551, 722
19 290, 463, 551, 361
29 290, 463, 29, 19
10, 463, 1, 19

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

2 x 19 x 29 x 10 x 463 x 1 x 19 = 96942940

Therefore, the lowest common multiple of 580,463,551,722 is 96942940.

LCM Formula to Find Lowest Common Multiple of 580,463,551,722

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.

580 x 463 x 551 x 722 = 106831119880

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

463 : 1, 463

551 : 1, 19, 29, 551

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,463,551,722, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

463:463

551:19x 29

722:2x 19x 19

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

2x 19x 29 = 1102

Therefore, the value for common factors is 1102.

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 = 106831119880/(1x1102)

LCM = 106831119880/1102

LCM = 96942940

Thus, we can understand that the LCM of 580,463,551,722 is 96942940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 580, 463, 551, 722

1. What is the LCM of 580, 463, 551, 722?

Answer: LCM of 580, 463, 551, 722 is 96942940.

2. How to calculate the LCM of 580, 463, 551, 722?

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 580, 463, 551, 722.

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}.