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LCM of 428, 797, 680

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


Find the LCM of 428, 797, 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 428, 797, 680. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,797,680

Given numbers are 428,797,680

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

The LCM of 428,797,680 is 57989720.

Find LCM of 428,797,680 with Prime Factorization


2 428, 797, 680
2 214, 797, 340
107, 797, 170

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

2 x 2 x 107 x 797 x 170 = 57989720

Therefore, the lowest common multiple of 428,797,680 is 57989720.

LCM Formula to Find Lowest Common Multiple of 428,797,680

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.

428 x 797 x 680 = 231958880

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.

428 : 1, 2, 4, 107, 214, 428

797 : 1, 797

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 428,797,680, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

797:797

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 2 = 4

Therefore, the value for common factors is 4.

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 = 231958880/(1x4)

LCM = 231958880/4

LCM = 57989720

Thus, we can understand that the LCM of 428,797,680 is 57989720.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 428, 797, 680

1. What is the LCM of 428, 797, 680?

Answer: LCM of 428, 797, 680 is 57989720.

2. How to calculate the LCM of 428, 797, 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 428, 797, 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}.