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LCM of 280, 586, 570, 604

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


Find the LCM of 280, 586, 570, 604 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 280, 586, 570, 604. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 280,586,570,604

Given numbers are 280,586,570,604

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

The LCM of 280,586,570,604 is 706118280.

Find LCM of 280,586,570,604 with Prime Factorization


2 280, 586, 570, 604
2 140, 293, 285, 302
5 70, 293, 285, 151
14, 293, 57, 151

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

2 x 2 x 5 x 14 x 293 x 57 x 151 = 706118280

Therefore, the lowest common multiple of 280,586,570,604 is 706118280.

LCM Formula to Find Lowest Common Multiple of 280,586,570,604

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.

280 x 586 x 570 x 604 = 56489462400

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.

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

586 : 1, 2, 293, 586

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

604 : 1, 2, 4, 151, 302, 604

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,586,570,604, is 2.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

586:2x 293

570:2x 3x 5x 19

604:2x 2x 151

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 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 56489462400/(2x40)

LCM = 56489462400/80

LCM = 706118280

Thus, we can understand that the LCM of 280,586,570,604 is 706118280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 280, 586, 570, 604

1. What is the LCM of 280, 586, 570, 604?

Answer: LCM of 280, 586, 570, 604 is 706118280.

2. How to calculate the LCM of 280, 586, 570, 604?

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 280, 586, 570, 604.

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}.