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LCM of 585, 625, 758, 379

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


Find the LCM of 585, 625, 758, 379 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, 625, 758, 379. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 585,625,758,379

Given numbers are 585,625,758,379

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

The LCM of 585,625,758,379 is 55428750.

Find LCM of 585,625,758,379 with Prime Factorization


5 585, 625, 758, 379
379 117, 125, 758, 379
117, 125, 2, 1

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

5 x 379 x 117 x 125 x 2 x 1 = 55428750

Therefore, the lowest common multiple of 585,625,758,379 is 55428750.

LCM Formula to Find Lowest Common Multiple of 585,625,758,379

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 625 x 758 x 379 = 105037481250

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

625 : 1, 5, 25, 125, 625

758 : 1, 2, 379, 758

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,625,758,379, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

625:5x 5x 5x 5

758:2x 379

379:379

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

5x 379 = 1895

Therefore, the value for common factors is 1895.

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 = 105037481250/(1x1895)

LCM = 105037481250/1895

LCM = 55428750

Thus, we can understand that the LCM of 585,625,758,379 is 55428750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 585, 625, 758, 379

1. What is the LCM of 585, 625, 758, 379?

Answer: LCM of 585, 625, 758, 379 is 55428750.

2. How to calculate the LCM of 585, 625, 758, 379?

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, 625, 758, 379.

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}.