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LCM of 580, 840, 513, 323

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


Find the LCM of 580, 840, 513, 323 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, 840, 513, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 580,840,513,323

Given numbers are 580,840,513,323

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

The LCM of 580,840,513,323 is 70814520.

Find LCM of 580,840,513,323 with Prime Factorization


2 580, 840, 513, 323
2 290, 420, 513, 323
3 145, 210, 513, 323
5 145, 70, 171, 323
19 29, 14, 171, 323
29, 14, 9, 17

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

2 x 2 x 3 x 5 x 19 x 29 x 14 x 9 x 17 = 70814520

Therefore, the lowest common multiple of 580,840,513,323 is 70814520.

LCM Formula to Find Lowest Common Multiple of 580,840,513,323

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 840 x 513 x 323 = 80728552800

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

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

513 : 1, 3, 9, 19, 27, 57, 171, 513

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,840,513,323, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

840:2x 2x 2x 3x 5x 7

513:3x 3x 3x 19

323:17x 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 2x 3x 5x 19 = 1140

Therefore, the value for common factors is 1140.

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 = 80728552800/(1x1140)

LCM = 80728552800/1140

LCM = 70814520

Thus, we can understand that the LCM of 580,840,513,323 is 70814520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 580, 840, 513, 323

1. What is the LCM of 580, 840, 513, 323?

Answer: LCM of 580, 840, 513, 323 is 70814520.

2. How to calculate the LCM of 580, 840, 513, 323?

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, 840, 513, 323.

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}.