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LCM of 314, 813, 307, 412

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


Find the LCM of 314, 813, 307, 412 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 314, 813, 307, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,813,307,412

Given numbers are 314,813,307,412

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

The LCM of 314,813,307,412 is 16144544244.

Find LCM of 314,813,307,412 with Prime Factorization


2 314, 813, 307, 412
157, 813, 307, 206

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

2 x 157 x 813 x 307 x 206 = 16144544244

Therefore, the lowest common multiple of 314,813,307,412 is 16144544244.

LCM Formula to Find Lowest Common Multiple of 314,813,307,412

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.

314 x 813 x 307 x 412 = 32289088488

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.

314 : 1, 2, 157, 314

813 : 1, 3, 271, 813

307 : 1, 307

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,813,307,412, is 1.

Now, the common factors can be found like this.

314:2x 157

813:3x 271

307:307

412:2x 2x 103

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

2 = 2

Therefore, the value for common factors is 2.

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 = 32289088488/(1x2)

LCM = 32289088488/2

LCM = 16144544244

Thus, we can understand that the LCM of 314,813,307,412 is 16144544244.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 813, 307, 412

1. What is the LCM of 314, 813, 307, 412?

Answer: LCM of 314, 813, 307, 412 is 16144544244.

2. How to calculate the LCM of 314, 813, 307, 412?

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 314, 813, 307, 412.

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}.