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LCM of 585, 390, 578, 730

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


Find the LCM of 585, 390, 578, 730 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 585, 390, 578, 730. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 585,390,578,730

Given numbers are 585,390,578,730

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

The LCM of 585,390,578,730 is 24683490.

Find LCM of 585,390,578,730 with Prime Factorization


2 585, 390, 578, 730
3 585, 195, 289, 365
5 65, 195, 289, 365
13 13, 39, 289, 73
1, 3, 289, 73

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

2 x 3 x 5 x 13 x 1 x 3 x 289 x 73 = 24683490

Therefore, the lowest common multiple of 585,390,578,730 is 24683490.

LCM Formula to Find Lowest Common Multiple of 585,390,578,730

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.

585 x 390 x 578 x 730 = 96265611000

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

578 : 1, 2, 17, 34, 289, 578

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,390,578,730, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

390:2x 3x 5x 13

578:2x 17x 17

730:2x 5x 73

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 5x 13 = 3900

Therefore, the value for common factors is 3900.

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 = 96265611000/(1x3900)

LCM = 96265611000/3900

LCM = 24683490

Thus, we can understand that the LCM of 585,390,578,730 is 24683490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 585, 390, 578, 730

1. What is the LCM of 585, 390, 578, 730?

Answer: LCM of 585, 390, 578, 730 is 24683490.

2. How to calculate the LCM of 585, 390, 578, 730?

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 585, 390, 578, 730.

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}.