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LCM of 573, 443, 443, 280

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


Find the LCM of 573, 443, 443, 280 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 573, 443, 443, 280. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 573,443,443,280

Given numbers are 573,443,443,280

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

The LCM of 573,443,443,280 is 71074920.

Find LCM of 573,443,443,280 with Prime Factorization


443 573, 443, 443, 280
573, 1, 1, 280

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

443 x 573 x 1 x 1 x 280 = 71074920

Therefore, the lowest common multiple of 573,443,443,280 is 71074920.

LCM Formula to Find Lowest Common Multiple of 573,443,443,280

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.

573 x 443 x 443 x 280 = 31486189560

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.

573 : 1, 3, 191, 573

443 : 1, 443

443 : 1, 443

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,443,443,280, is 1.

Now, the common factors can be found like this.

573:3x 191

443:443

443:443

280:2x 2x 2x 5x 7

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

443 = 443

Therefore, the value for common factors is 443.

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 = 31486189560/(1x443)

LCM = 31486189560/443

LCM = 71074920

Thus, we can understand that the LCM of 573,443,443,280 is 71074920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 573, 443, 443, 280

1. What is the LCM of 573, 443, 443, 280?

Answer: LCM of 573, 443, 443, 280 is 71074920.

2. How to calculate the LCM of 573, 443, 443, 280?

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 573, 443, 443, 280.

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}.