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LCM of 574, 255, 680

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


Find the LCM of 574, 255, 680 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 574, 255, 680. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 574,255,680

Given numbers are 574,255,680

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

The LCM of 574,255,680 is 585480.

Find LCM of 574,255,680 with Prime Factorization


2 574, 255, 680
5 287, 255, 340
17 287, 51, 68
287, 3, 4

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

2 x 5 x 17 x 287 x 3 x 4 = 585480

Therefore, the lowest common multiple of 574,255,680 is 585480.

LCM Formula to Find Lowest Common Multiple of 574,255,680

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.

574 x 255 x 680 = 99531600

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

255 : 1, 3, 5, 15, 17, 51, 85, 255

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,255,680, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

255:3x 5x 17

680:2x 2x 2x 5x 17

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

2x 5x 17 = 170

Therefore, the value for common factors is 170.

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 = 99531600/(1x170)

LCM = 99531600/170

LCM = 585480

Thus, we can understand that the LCM of 574,255,680 is 585480.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 574, 255, 680

1. What is the LCM of 574, 255, 680?

Answer: LCM of 574, 255, 680 is 585480.

2. How to calculate the LCM of 574, 255, 680?

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 574, 255, 680.

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}.