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LCM of 197, 446, 214, 514

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


Find the LCM of 197, 446, 214, 514 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 197, 446, 214, 514. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 197,446,214,514

Given numbers are 197,446,214,514

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

The LCM of 197,446,214,514 is 2416117138.

Find LCM of 197,446,214,514 with Prime Factorization


2 197, 446, 214, 514
197, 223, 107, 257

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

2 x 197 x 223 x 107 x 257 = 2416117138

Therefore, the lowest common multiple of 197,446,214,514 is 2416117138.

LCM Formula to Find Lowest Common Multiple of 197,446,214,514

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.

197 x 446 x 214 x 514 = 9664468552

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.

197 : 1, 197

446 : 1, 2, 223, 446

214 : 1, 2, 107, 214

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,446,214,514, is 1.

Now, the common factors can be found like this.

197:197

446:2x 223

214:2x 107

514:2x 257

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9664468552/(1x4)

LCM = 9664468552/4

LCM = 2416117138

Thus, we can understand that the LCM of 197,446,214,514 is 2416117138.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 197, 446, 214, 514

1. What is the LCM of 197, 446, 214, 514?

Answer: LCM of 197, 446, 214, 514 is 2416117138.

2. How to calculate the LCM of 197, 446, 214, 514?

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 197, 446, 214, 514.

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}.