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LCM of 539, 583, 124, 805

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


Find the LCM of 539, 583, 124, 805 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, 124, 805. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 539,583,124,805

Given numbers are 539,583,124,805

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

The LCM of 539,583,124,805 is 407365420.

Find LCM of 539,583,124,805 with Prime Factorization


7 539, 583, 124, 805
11 77, 583, 124, 115
7, 53, 124, 115

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

7 x 11 x 7 x 53 x 124 x 115 = 407365420

Therefore, the lowest common multiple of 539,583,124,805 is 407365420.

LCM Formula to Find Lowest Common Multiple of 539,583,124,805

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 124 x 805 = 31367137340

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

124 : 1, 2, 4, 31, 62, 124

805 : 1, 5, 7, 23, 35, 115, 161, 805

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,583,124,805, is 1.

Now, the common factors can be found like this.

539:7x 7x 11

583:11x 53

124:2x 2x 31

805:5x 7x 23

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

7x 11 = 77

Therefore, the value for common factors is 77.

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 = 31367137340/(1x77)

LCM = 31367137340/77

LCM = 407365420

Thus, we can understand that the LCM of 539,583,124,805 is 407365420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 539, 583, 124, 805

1. What is the LCM of 539, 583, 124, 805?

Answer: LCM of 539, 583, 124, 805 is 407365420.

2. How to calculate the LCM of 539, 583, 124, 805?

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, 124, 805.

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}.