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LCM of 428, 196, 823, 956, 809

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


Find the LCM of 428, 196, 823, 956, 809 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, 196, 823, 956, 809. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,196,823,956,809

Given numbers are 428,196,823,956,809

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

The LCM of 428,196,823,956,809 is 3337229752556.

Find LCM of 428,196,823,956,809 with Prime Factorization


2 428, 196, 823, 956, 809
2 214, 98, 823, 478, 809
107, 49, 823, 239, 809

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

2 x 2 x 107 x 49 x 823 x 239 x 809 = 3337229752556

Therefore, the lowest common multiple of 428,196,823,956,809 is 3337229752556.

LCM Formula to Find Lowest Common Multiple of 428,196,823,956,809

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 196 x 823 x 956 x 809 = 53395676040896

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

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

823 : 1, 823

956 : 1, 2, 4, 239, 478, 956

809 : 1, 809

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,196,823,956,809, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

196:2x 2x 7x 7

823:823

956:2x 2x 239

809:809

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 2 = 16

Therefore, the value for common factors is 16.

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 = 53395676040896/(1x16)

LCM = 53395676040896/16

LCM = 3337229752556

Thus, we can understand that the LCM of 428,196,823,956,809 is 3337229752556.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 196, 823, 956, 809

1. What is the LCM of 428, 196, 823, 956, 809?

Answer: LCM of 428, 196, 823, 956, 809 is 3337229752556.

2. How to calculate the LCM of 428, 196, 823, 956, 809?

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, 196, 823, 956, 809.

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}.