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LCM of 905, 307, 341, 713

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


Find the LCM of 905, 307, 341, 713 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 905, 307, 341, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 905,307,341,713

Given numbers are 905,307,341,713

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

The LCM of 905,307,341,713 is 2179059905.

Find LCM of 905,307,341,713 with Prime Factorization


31 905, 307, 341, 713
905, 307, 11, 23

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

31 x 905 x 307 x 11 x 23 = 2179059905

Therefore, the lowest common multiple of 905,307,341,713 is 2179059905.

LCM Formula to Find Lowest Common Multiple of 905,307,341,713

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.

905 x 307 x 341 x 713 = 67550857055

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.

905 : 1, 5, 181, 905

307 : 1, 307

341 : 1, 11, 31, 341

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,307,341,713, is 1.

Now, the common factors can be found like this.

905:5x 181

307:307

341:11x 31

713:23x 31

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

31 = 31

Therefore, the value for common factors is 31.

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 = 67550857055/(1x31)

LCM = 67550857055/31

LCM = 2179059905

Thus, we can understand that the LCM of 905,307,341,713 is 2179059905.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 905, 307, 341, 713

1. What is the LCM of 905, 307, 341, 713?

Answer: LCM of 905, 307, 341, 713 is 2179059905.

2. How to calculate the LCM of 905, 307, 341, 713?

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 905, 307, 341, 713.

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}.