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LCM of 304, 508, 508, 766, 227

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


Find the LCM of 304, 508, 508, 766, 227 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 304, 508, 508, 766, 227. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 304,508,508,766,227

Given numbers are 304,508,508,766,227

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

The LCM of 304,508,508,766,227 is 3356618128.

Find LCM of 304,508,508,766,227 with Prime Factorization


2 304, 508, 508, 766, 227
2 152, 254, 254, 383, 227
127 76, 127, 127, 383, 227
76, 1, 1, 383, 227

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

2 x 2 x 127 x 76 x 1 x 1 x 383 x 227 = 3356618128

Therefore, the lowest common multiple of 304,508,508,766,227 is 3356618128.

LCM Formula to Find Lowest Common Multiple of 304,508,508,766,227

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.

304 x 508 x 508 x 766 x 227 = 13641296072192

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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

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

766 : 1, 2, 383, 766

227 : 1, 227

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,508,508,766,227, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

508:2x 2x 127

508:2x 2x 127

766:2x 383

227:227

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 2x 2x 127 = 4064

Therefore, the value for common factors is 4064.

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 = 13641296072192/(1x4064)

LCM = 13641296072192/4064

LCM = 3356618128

Thus, we can understand that the LCM of 304,508,508,766,227 is 3356618128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 304, 508, 508, 766, 227

1. What is the LCM of 304, 508, 508, 766, 227?

Answer: LCM of 304, 508, 508, 766, 227 is 3356618128.

2. How to calculate the LCM of 304, 508, 508, 766, 227?

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 304, 508, 508, 766, 227.

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}.