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LCM of 719, 355, 370, 778

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


Find the LCM of 719, 355, 370, 778 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, 355, 370, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 719,355,370,778

Given numbers are 719,355,370,778

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

The LCM of 719,355,370,778 is 7347482570.

Find LCM of 719,355,370,778 with Prime Factorization


2 719, 355, 370, 778
5 719, 355, 185, 389
719, 71, 37, 389

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

2 x 5 x 719 x 71 x 37 x 389 = 7347482570

Therefore, the lowest common multiple of 719,355,370,778 is 7347482570.

LCM Formula to Find Lowest Common Multiple of 719,355,370,778

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 355 x 370 x 778 = 73474825700

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

355 : 1, 5, 71, 355

370 : 1, 2, 5, 10, 37, 74, 185, 370

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,355,370,778, is 1.

Now, the common factors can be found like this.

719:719

355:5x 71

370:2x 5x 37

778:2x 389

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 73474825700/(1x10)

LCM = 73474825700/10

LCM = 7347482570

Thus, we can understand that the LCM of 719,355,370,778 is 7347482570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 719, 355, 370, 778

1. What is the LCM of 719, 355, 370, 778?

Answer: LCM of 719, 355, 370, 778 is 7347482570.

2. How to calculate the LCM of 719, 355, 370, 778?

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, 355, 370, 778.

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}.