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LCM of 908, 676, 508, 518

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


Find the LCM of 908, 676, 508, 518 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 908, 676, 508, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 908,676,508,518

Given numbers are 908,676,508,518

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

The LCM of 908,676,508,518 is 5047496636.

Find LCM of 908,676,508,518 with Prime Factorization


2 908, 676, 508, 518
2 454, 338, 254, 259
227, 169, 127, 259

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

2 x 2 x 227 x 169 x 127 x 259 = 5047496636

Therefore, the lowest common multiple of 908,676,508,518 is 5047496636.

LCM Formula to Find Lowest Common Multiple of 908,676,508,518

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.

908 x 676 x 508 x 518 = 161519892352

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.

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

508 : 1, 2, 4, 127, 254, 508

518 : 1, 2, 7, 14, 37, 74, 259, 518

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,676,508,518, is 2.

Now, the common factors can be found like this.

908:2x 2x 227

676:2x 2x 13x 13

508:2x 2x 127

518:2x 7x 37

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 = 161519892352/(2x16)

LCM = 161519892352/32

LCM = 5047496636

Thus, we can understand that the LCM of 908,676,508,518 is 5047496636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 908, 676, 508, 518

1. What is the LCM of 908, 676, 508, 518?

Answer: LCM of 908, 676, 508, 518 is 5047496636.

2. How to calculate the LCM of 908, 676, 508, 518?

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 908, 676, 508, 518.

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}.