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LCM of 913, 979, 808, 534

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


Find the LCM of 913, 979, 808, 534 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 913, 979, 808, 534. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 913,979,808,534

Given numbers are 913,979,808,534

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

The LCM of 913,979,808,534 is 196966968.

Find LCM of 913,979,808,534 with Prime Factorization


2 913, 979, 808, 534
11 913, 979, 404, 267
89 83, 89, 404, 267
83, 1, 404, 3

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

2 x 11 x 89 x 83 x 1 x 404 x 3 = 196966968

Therefore, the lowest common multiple of 913,979,808,534 is 196966968.

LCM Formula to Find Lowest Common Multiple of 913,979,808,534

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.

913 x 979 x 808 x 534 = 385661323344

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.

913 : 1, 11, 83, 913

979 : 1, 11, 89, 979

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

534 : 1, 2, 3, 6, 89, 178, 267, 534

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,979,808,534, is 1.

Now, the common factors can be found like this.

913:11x 83

979:11x 89

808:2x 2x 2x 101

534:2x 3x 89

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11x 89 = 1958

Therefore, the value for common factors is 1958.

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 = 385661323344/(1x1958)

LCM = 385661323344/1958

LCM = 196966968

Thus, we can understand that the LCM of 913,979,808,534 is 196966968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 913, 979, 808, 534

1. What is the LCM of 913, 979, 808, 534?

Answer: LCM of 913, 979, 808, 534 is 196966968.

2. How to calculate the LCM of 913, 979, 808, 534?

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 913, 979, 808, 534.

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}.