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LCM of 413, 365, 218, 308

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


Find the LCM of 413, 365, 218, 308 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 413, 365, 218, 308. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 413,365,218,308

Given numbers are 413,365,218,308

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

The LCM of 413,365,218,308 is 722973020.

Find LCM of 413,365,218,308 with Prime Factorization


2 413, 365, 218, 308
7 413, 365, 109, 154
59, 365, 109, 22

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

2 x 7 x 59 x 365 x 109 x 22 = 722973020

Therefore, the lowest common multiple of 413,365,218,308 is 722973020.

LCM Formula to Find Lowest Common Multiple of 413,365,218,308

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.

413 x 365 x 218 x 308 = 10121622280

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.

413 : 1, 7, 59, 413

365 : 1, 5, 73, 365

218 : 1, 2, 109, 218

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,365,218,308, is 1.

Now, the common factors can be found like this.

413:7x 59

365:5x 73

218:2x 109

308:2x 2x 7x 11

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 10121622280/(1x14)

LCM = 10121622280/14

LCM = 722973020

Thus, we can understand that the LCM of 413,365,218,308 is 722973020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 413, 365, 218, 308

1. What is the LCM of 413, 365, 218, 308?

Answer: LCM of 413, 365, 218, 308 is 722973020.

2. How to calculate the LCM of 413, 365, 218, 308?

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 413, 365, 218, 308.

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}.