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LCM of 428, 479, 878, 958

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


Find the LCM of 428, 479, 878, 958 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, 479, 878, 958. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,479,878,958

Given numbers are 428,479,878,958

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

The LCM of 428,479,878,958 is 90000268.

Find LCM of 428,479,878,958 with Prime Factorization


2 428, 479, 878, 958
479 214, 479, 439, 479
214, 1, 439, 1

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

2 x 479 x 214 x 1 x 439 x 1 = 90000268

Therefore, the lowest common multiple of 428,479,878,958 is 90000268.

LCM Formula to Find Lowest Common Multiple of 428,479,878,958

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 479 x 878 x 958 = 172440513488

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

479 : 1, 479

878 : 1, 2, 439, 878

958 : 1, 2, 479, 958

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,479,878,958, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

479:479

878:2x 439

958:2x 479

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 479 = 1916

Therefore, the value for common factors is 1916.

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 = 172440513488/(1x1916)

LCM = 172440513488/1916

LCM = 90000268

Thus, we can understand that the LCM of 428,479,878,958 is 90000268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 479, 878, 958

1. What is the LCM of 428, 479, 878, 958?

Answer: LCM of 428, 479, 878, 958 is 90000268.

2. How to calculate the LCM of 428, 479, 878, 958?

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, 479, 878, 958.

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}.