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LCM of 622, 338, 788, 879, 214

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


Find the LCM of 622, 338, 788, 879, 214 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 622, 338, 788, 879, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 622,338,788,879,214

Given numbers are 622,338,788,879,214

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

The LCM of 622,338,788,879,214 is 3895345322076.

Find LCM of 622,338,788,879,214 with Prime Factorization


2 622, 338, 788, 879, 214
311, 169, 394, 879, 107

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

2 x 311 x 169 x 394 x 879 x 107 = 3895345322076

Therefore, the lowest common multiple of 622,338,788,879,214 is 3895345322076.

LCM Formula to Find Lowest Common Multiple of 622,338,788,879,214

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.

622 x 338 x 788 x 879 x 214 = 31162762576608

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.

622 : 1, 2, 311, 622

338 : 1, 2, 13, 26, 169, 338

788 : 1, 2, 4, 197, 394, 788

879 : 1, 3, 293, 879

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,338,788,879,214, is 1.

Now, the common factors can be found like this.

622:2x 311

338:2x 13x 13

788:2x 2x 197

879:3x 293

214:2x 107

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 2 = 8

Therefore, the value for common factors is 8.

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 = 31162762576608/(1x8)

LCM = 31162762576608/8

LCM = 3895345322076

Thus, we can understand that the LCM of 622,338,788,879,214 is 3895345322076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 622, 338, 788, 879, 214

1. What is the LCM of 622, 338, 788, 879, 214?

Answer: LCM of 622, 338, 788, 879, 214 is 3895345322076.

2. How to calculate the LCM of 622, 338, 788, 879, 214?

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 622, 338, 788, 879, 214.

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}.