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LCM of 214, 296, 359, 718

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


Find the LCM of 214, 296, 359, 718 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, 296, 359, 718. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 214,296,359,718

Given numbers are 214,296,359,718

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

The LCM of 214,296,359,718 is 11370248.

Find LCM of 214,296,359,718 with Prime Factorization


2 214, 296, 359, 718
359 107, 148, 359, 359
107, 148, 1, 1

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

2 x 359 x 107 x 148 x 1 x 1 = 11370248

Therefore, the lowest common multiple of 214,296,359,718 is 11370248.

LCM Formula to Find Lowest Common Multiple of 214,296,359,718

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 296 x 359 x 718 = 16327676128

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

296 : 1, 2, 4, 8, 37, 74, 148, 296

359 : 1, 359

718 : 1, 2, 359, 718

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,296,359,718, is 1.

Now, the common factors can be found like this.

214:2x 107

296:2x 2x 2x 37

359:359

718:2x 359

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 359 = 1436

Therefore, the value for common factors is 1436.

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 = 16327676128/(1x1436)

LCM = 16327676128/1436

LCM = 11370248

Thus, we can understand that the LCM of 214,296,359,718 is 11370248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 214, 296, 359, 718

1. What is the LCM of 214, 296, 359, 718?

Answer: LCM of 214, 296, 359, 718 is 11370248.

2. How to calculate the LCM of 214, 296, 359, 718?

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, 296, 359, 718.

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}.