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LCM of 214, 878, 831

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


Find the LCM of 214, 878, 831 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 214, 878, 831. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 214,878,831

Given numbers are 214,878,831

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

The LCM of 214,878,831 is 78069126.

Find LCM of 214,878,831 with Prime Factorization


2 214, 878, 831
107, 439, 831

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

2 x 107 x 439 x 831 = 78069126

Therefore, the lowest common multiple of 214,878,831 is 78069126.

LCM Formula to Find Lowest Common Multiple of 214,878,831

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.

214 x 878 x 831 = 156138252

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.

214 : 1, 2, 107, 214

878 : 1, 2, 439, 878

831 : 1, 3, 277, 831

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,878,831, is 1.

Now, the common factors can be found like this.

214:2x 107

878:2x 439

831:3x 277

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

2 = 2

Therefore, the value for common factors is 2.

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 = 156138252/(1x2)

LCM = 156138252/2

LCM = 78069126

Thus, we can understand that the LCM of 214,878,831 is 78069126.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 214, 878, 831

1. What is the LCM of 214, 878, 831?

Answer: LCM of 214, 878, 831 is 78069126.

2. How to calculate the LCM of 214, 878, 831?

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 214, 878, 831.

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}.