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LCM of 719, 401, 320, 568

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


Find the LCM of 719, 401, 320, 568 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 719, 401, 320, 568. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 719,401,320,568

Given numbers are 719,401,320,568

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

The LCM of 719,401,320,568 is 6550607680.

Find LCM of 719,401,320,568 with Prime Factorization


2 719, 401, 320, 568
2 719, 401, 160, 284
2 719, 401, 80, 142
719, 401, 40, 71

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

2 x 2 x 2 x 719 x 401 x 40 x 71 = 6550607680

Therefore, the lowest common multiple of 719,401,320,568 is 6550607680.

LCM Formula to Find Lowest Common Multiple of 719,401,320,568

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.

719 x 401 x 320 x 568 = 52404861440

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.

719 : 1, 719

401 : 1, 401

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

568 : 1, 2, 4, 8, 71, 142, 284, 568

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,401,320,568, is 1.

Now, the common factors can be found like this.

719:719

401:401

320:2x 2x 2x 2x 2x 2x 5

568:2x 2x 2x 71

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 2 = 8

Therefore, the value for common factors is 8.

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 = 52404861440/(1x8)

LCM = 52404861440/8

LCM = 6550607680

Thus, we can understand that the LCM of 719,401,320,568 is 6550607680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 719, 401, 320, 568

1. What is the LCM of 719, 401, 320, 568?

Answer: LCM of 719, 401, 320, 568 is 6550607680.

2. How to calculate the LCM of 719, 401, 320, 568?

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 719, 401, 320, 568.

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}.