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LCM of 583, 876, 499, 538

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


Find the LCM of 583, 876, 499, 538 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 583, 876, 499, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 583,876,499,538

Given numbers are 583,876,499,538

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

The LCM of 583,876,499,538 is 68552845548.

Find LCM of 583,876,499,538 with Prime Factorization


2 583, 876, 499, 538
583, 438, 499, 269

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

2 x 583 x 438 x 499 x 269 = 68552845548

Therefore, the lowest common multiple of 583,876,499,538 is 68552845548.

LCM Formula to Find Lowest Common Multiple of 583,876,499,538

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.

583 x 876 x 499 x 538 = 137105691096

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.

583 : 1, 11, 53, 583

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

499 : 1, 499

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,876,499,538, is 1.

Now, the common factors can be found like this.

583:11x 53

876:2x 2x 3x 73

499:499

538:2x 269

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

2 = 2

Therefore, the value for common factors is 2.

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 = 137105691096/(1x2)

LCM = 137105691096/2

LCM = 68552845548

Thus, we can understand that the LCM of 583,876,499,538 is 68552845548.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 583, 876, 499, 538

1. What is the LCM of 583, 876, 499, 538?

Answer: LCM of 583, 876, 499, 538 is 68552845548.

2. How to calculate the LCM of 583, 876, 499, 538?

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 583, 876, 499, 538.

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}.