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LCM of 606, 556, 778, 720, 808

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


Find the LCM of 606, 556, 778, 720, 808 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 606, 556, 778, 720, 808. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 606,556,778,720,808

Given numbers are 606,556,778,720,808

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

The LCM of 606,556,778,720,808 is 3932043120.

Find LCM of 606,556,778,720,808 with Prime Factorization


2 606, 556, 778, 720, 808
2 303, 278, 389, 360, 404
2 303, 139, 389, 180, 202
3 303, 139, 389, 90, 101
101 101, 139, 389, 30, 101
1, 139, 389, 30, 1

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

2 x 2 x 2 x 3 x 101 x 1 x 139 x 389 x 30 x 1 = 3932043120

Therefore, the lowest common multiple of 606,556,778,720,808 is 3932043120.

LCM Formula to Find Lowest Common Multiple of 606,556,778,720,808

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.

606 x 556 x 778 x 720 x 808 = 152500360366080

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.

606 : 1, 2, 3, 6, 101, 202, 303, 606

556 : 1, 2, 4, 139, 278, 556

778 : 1, 2, 389, 778

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

808 : 1, 2, 4, 8, 101, 202, 404, 808

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,556,778,720,808, is 2.

Now, the common factors can be found like this.

606:2x 3x 101

556:2x 2x 139

778:2x 389

720:2x 2x 2x 2x 3x 3x 5

808:2x 2x 2x 101

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 2x 2x 2x 3x 101 = 19392

Therefore, the value for common factors is 19392.

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 = 152500360366080/(2x19392)

LCM = 152500360366080/38784

LCM = 3932043120

Thus, we can understand that the LCM of 606,556,778,720,808 is 3932043120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 606, 556, 778, 720, 808

1. What is the LCM of 606, 556, 778, 720, 808?

Answer: LCM of 606, 556, 778, 720, 808 is 3932043120.

2. How to calculate the LCM of 606, 556, 778, 720, 808?

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 606, 556, 778, 720, 808.

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}.