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LCM of 365, 585, 584

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


Find the LCM of 365, 585, 584 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 365, 585, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 365,585,584

Given numbers are 365,585,584

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

The LCM of 365,585,584 is 341640.

Find LCM of 365,585,584 with Prime Factorization


5 365, 585, 584
73 73, 117, 584
1, 117, 8

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

5 x 73 x 1 x 117 x 8 = 341640

Therefore, the lowest common multiple of 365,585,584 is 341640.

LCM Formula to Find Lowest Common Multiple of 365,585,584

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.

365 x 585 x 584 = 124698600

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.

365 : 1, 5, 73, 365

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

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,585,584, is 1.

Now, the common factors can be found like this.

365:5x 73

585:3x 3x 5x 13

584:2x 2x 2x 73

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

5x 73 = 365

Therefore, the value for common factors is 365.

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 = 124698600/(1x365)

LCM = 124698600/365

LCM = 341640

Thus, we can understand that the LCM of 365,585,584 is 341640.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 365, 585, 584

1. What is the LCM of 365, 585, 584?

Answer: LCM of 365, 585, 584 is 341640.

2. How to calculate the LCM of 365, 585, 584?

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 365, 585, 584.

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}.