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LCM of 853, 230, 451, 920

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


Find the LCM of 853, 230, 451, 920 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 853, 230, 451, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 853,230,451,920

Given numbers are 853,230,451,920

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

The LCM of 853,230,451,920 is 353926760.

Find LCM of 853,230,451,920 with Prime Factorization


2 853, 230, 451, 920
5 853, 115, 451, 460
23 853, 23, 451, 92
853, 1, 451, 4

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

2 x 5 x 23 x 853 x 1 x 451 x 4 = 353926760

Therefore, the lowest common multiple of 853,230,451,920 is 353926760.

LCM Formula to Find Lowest Common Multiple of 853,230,451,920

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.

853 x 230 x 451 x 920 = 81403154800

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.

853 : 1, 853

230 : 1, 2, 5, 10, 23, 46, 115, 230

451 : 1, 11, 41, 451

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,230,451,920, is 1.

Now, the common factors can be found like this.

853:853

230:2x 5x 23

451:11x 41

920:2x 2x 2x 5x 23

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 23 = 230

Therefore, the value for common factors is 230.

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 = 81403154800/(1x230)

LCM = 81403154800/230

LCM = 353926760

Thus, we can understand that the LCM of 853,230,451,920 is 353926760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 853, 230, 451, 920

1. What is the LCM of 853, 230, 451, 920?

Answer: LCM of 853, 230, 451, 920 is 353926760.

2. How to calculate the LCM of 853, 230, 451, 920?

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 853, 230, 451, 920.

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}.