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LCM of 445, 718, 394, 556

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


Find the LCM of 445, 718, 394, 556 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 445, 718, 394, 556. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 445,718,394,556

Given numbers are 445,718,394,556

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

The LCM of 445,718,394,556 is 17498284660.

Find LCM of 445,718,394,556 with Prime Factorization


2 445, 718, 394, 556
445, 359, 197, 278

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

2 x 445 x 359 x 197 x 278 = 17498284660

Therefore, the lowest common multiple of 445,718,394,556 is 17498284660.

LCM Formula to Find Lowest Common Multiple of 445,718,394,556

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.

445 x 718 x 394 x 556 = 69993138640

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.

445 : 1, 5, 89, 445

718 : 1, 2, 359, 718

394 : 1, 2, 197, 394

556 : 1, 2, 4, 139, 278, 556

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,718,394,556, is 1.

Now, the common factors can be found like this.

445:5x 89

718:2x 359

394:2x 197

556:2x 2x 139

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 = 69993138640/(1x4)

LCM = 69993138640/4

LCM = 17498284660

Thus, we can understand that the LCM of 445,718,394,556 is 17498284660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 445, 718, 394, 556

1. What is the LCM of 445, 718, 394, 556?

Answer: LCM of 445, 718, 394, 556 is 17498284660.

2. How to calculate the LCM of 445, 718, 394, 556?

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 445, 718, 394, 556.

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}.