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LCM of 585, 512, 625, 982

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


Find the LCM of 585, 512, 625, 982 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, 512, 625, 982. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 585,512,625,982

Given numbers are 585,512,625,982

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

The LCM of 585,512,625,982 is 18383040000.

Find LCM of 585,512,625,982 with Prime Factorization


2 585, 512, 625, 982
5 585, 256, 625, 491
117, 256, 125, 491

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

2 x 5 x 117 x 256 x 125 x 491 = 18383040000

Therefore, the lowest common multiple of 585,512,625,982 is 18383040000.

LCM Formula to Find Lowest Common Multiple of 585,512,625,982

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 512 x 625 x 982 = 183830400000

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

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

625 : 1, 5, 25, 125, 625

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,512,625,982, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

512:2x 2x 2x 2x 2x 2x 2x 2x 2

625:5x 5x 5x 5

982:2x 491

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 183830400000/(1x10)

LCM = 183830400000/10

LCM = 18383040000

Thus, we can understand that the LCM of 585,512,625,982 is 18383040000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 585, 512, 625, 982

1. What is the LCM of 585, 512, 625, 982?

Answer: LCM of 585, 512, 625, 982 is 18383040000.

2. How to calculate the LCM of 585, 512, 625, 982?

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, 512, 625, 982.

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}.