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LCM of 808, 858, 520, 820

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


Find the LCM of 808, 858, 520, 820 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 808, 858, 520, 820. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,858,520,820

Given numbers are 808,858,520,820

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

The LCM of 808,858,520,820 is 71059560.

Find LCM of 808,858,520,820 with Prime Factorization


2 808, 858, 520, 820
2 404, 429, 260, 410
2 202, 429, 130, 205
5 101, 429, 65, 205
13 101, 429, 13, 41
101, 33, 1, 41

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

2 x 2 x 2 x 5 x 13 x 101 x 33 x 1 x 41 = 71059560

Therefore, the lowest common multiple of 808,858,520,820 is 71059560.

LCM Formula to Find Lowest Common Multiple of 808,858,520,820

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.

808 x 858 x 520 x 820 = 295607769600

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.

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

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,858,520,820, is 2.

Now, the common factors can be found like this.

808:2x 2x 2x 101

858:2x 3x 11x 13

520:2x 2x 2x 5x 13

820:2x 2x 5x 41

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 5x 13 = 2080

Therefore, the value for common factors is 2080.

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 = 295607769600/(2x2080)

LCM = 295607769600/4160

LCM = 71059560

Thus, we can understand that the LCM of 808,858,520,820 is 71059560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 858, 520, 820

1. What is the LCM of 808, 858, 520, 820?

Answer: LCM of 808, 858, 520, 820 is 71059560.

2. How to calculate the LCM of 808, 858, 520, 820?

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 808, 858, 520, 820.

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}.