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LCM of 552, 589, 403, 580

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


Find the LCM of 552, 589, 403, 580 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 552, 589, 403, 580. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 552,589,403,580

Given numbers are 552,589,403,580

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

The LCM of 552,589,403,580 is 612866280.

Find LCM of 552,589,403,580 with Prime Factorization


2 552, 589, 403, 580
2 276, 589, 403, 290
31 138, 589, 403, 145
138, 19, 13, 145

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

2 x 2 x 31 x 138 x 19 x 13 x 145 = 612866280

Therefore, the lowest common multiple of 552,589,403,580 is 612866280.

LCM Formula to Find Lowest Common Multiple of 552,589,403,580

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.

552 x 589 x 403 x 580 = 75995418720

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

589 : 1, 19, 31, 589

403 : 1, 13, 31, 403

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,589,403,580, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

589:19x 31

403:13x 31

580:2x 2x 5x 29

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

2x 2x 31 = 124

Therefore, the value for common factors is 124.

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 = 75995418720/(1x124)

LCM = 75995418720/124

LCM = 612866280

Thus, we can understand that the LCM of 552,589,403,580 is 612866280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 552, 589, 403, 580

1. What is the LCM of 552, 589, 403, 580?

Answer: LCM of 552, 589, 403, 580 is 612866280.

2. How to calculate the LCM of 552, 589, 403, 580?

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 552, 589, 403, 580.

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}.