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LCM of 418, 626, 908, 320, 718

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


Find the LCM of 418, 626, 908, 320, 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 418, 626, 908, 320, 718. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,626,908,320,718

Given numbers are 418,626,908,320,718

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

The LCM of 418,626,908,320,718 is 1705928825920.

Find LCM of 418,626,908,320,718 with Prime Factorization


2 418, 626, 908, 320, 718
2 209, 313, 454, 160, 359
209, 313, 227, 80, 359

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

2 x 2 x 209 x 313 x 227 x 80 x 359 = 1705928825920

Therefore, the lowest common multiple of 418,626,908,320,718 is 1705928825920.

LCM Formula to Find Lowest Common Multiple of 418,626,908,320,718

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.

418 x 626 x 908 x 320 x 718 = 54589722429440

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

626 : 1, 2, 313, 626

908 : 1, 2, 4, 227, 454, 908

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

718 : 1, 2, 359, 718

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,626,908,320,718, is 2.

Now, the common factors can be found like this.

418:2x 11x 19

626:2x 313

908:2x 2x 227

320:2x 2x 2x 2x 2x 2x 5

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 54589722429440/(2x16)

LCM = 54589722429440/32

LCM = 1705928825920

Thus, we can understand that the LCM of 418,626,908,320,718 is 1705928825920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 626, 908, 320, 718

1. What is the LCM of 418, 626, 908, 320, 718?

Answer: LCM of 418, 626, 908, 320, 718 is 1705928825920.

2. How to calculate the LCM of 418, 626, 908, 320, 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 418, 626, 908, 320, 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}.