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LCM of 539, 583, 764, 265

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


Find the LCM of 539, 583, 764, 265 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 539, 583, 764, 265. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 539,583,764,265

Given numbers are 539,583,764,265

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

The LCM of 539,583,764,265 is 109125940.

Find LCM of 539,583,764,265 with Prime Factorization


11 539, 583, 764, 265
53 49, 53, 764, 265
49, 1, 764, 5

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

11 x 53 x 49 x 1 x 764 x 5 = 109125940

Therefore, the lowest common multiple of 539,583,764,265 is 109125940.

LCM Formula to Find Lowest Common Multiple of 539,583,764,265

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.

539 x 583 x 764 x 265 = 63620423020

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.

539 : 1, 7, 11, 49, 77, 539

583 : 1, 11, 53, 583

764 : 1, 2, 4, 191, 382, 764

265 : 1, 5, 53, 265

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,583,764,265, is 1.

Now, the common factors can be found like this.

539:7x 7x 11

583:11x 53

764:2x 2x 191

265:5x 53

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

11x 53 = 583

Therefore, the value for common factors is 583.

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 = 63620423020/(1x583)

LCM = 63620423020/583

LCM = 109125940

Thus, we can understand that the LCM of 539,583,764,265 is 109125940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 539, 583, 764, 265

1. What is the LCM of 539, 583, 764, 265?

Answer: LCM of 539, 583, 764, 265 is 109125940.

2. How to calculate the LCM of 539, 583, 764, 265?

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 539, 583, 764, 265.

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}.