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LCM of 307, 338, 682, 999

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


Find the LCM of 307, 338, 682, 999 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 307, 338, 682, 999. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 307,338,682,999

Given numbers are 307,338,682,999

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

The LCM of 307,338,682,999 is 35348821794.

Find LCM of 307,338,682,999 with Prime Factorization


2 307, 338, 682, 999
307, 169, 341, 999

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

2 x 307 x 169 x 341 x 999 = 35348821794

Therefore, the lowest common multiple of 307,338,682,999 is 35348821794.

LCM Formula to Find Lowest Common Multiple of 307,338,682,999

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.

307 x 338 x 682 x 999 = 70697643588

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.

307 : 1, 307

338 : 1, 2, 13, 26, 169, 338

682 : 1, 2, 11, 22, 31, 62, 341, 682

999 : 1, 3, 9, 27, 37, 111, 333, 999

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,338,682,999, is 1.

Now, the common factors can be found like this.

307:307

338:2x 13x 13

682:2x 11x 31

999:3x 3x 3x 37

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 = 70697643588/(1x2)

LCM = 70697643588/2

LCM = 35348821794

Thus, we can understand that the LCM of 307,338,682,999 is 35348821794.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 307, 338, 682, 999

1. What is the LCM of 307, 338, 682, 999?

Answer: LCM of 307, 338, 682, 999 is 35348821794.

2. How to calculate the LCM of 307, 338, 682, 999?

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 307, 338, 682, 999.

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}.