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LCM of 719, 766, 448, 719

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


Find the LCM of 719, 766, 448, 719 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, 766, 448, 719. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 719,766,448,719

Given numbers are 719,766,448,719

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

The LCM of 719,766,448,719 is 123368896.

Find LCM of 719,766,448,719 with Prime Factorization


2 719, 766, 448, 719
719 719, 383, 224, 719
1, 383, 224, 1

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

2 x 719 x 1 x 383 x 224 x 1 = 123368896

Therefore, the lowest common multiple of 719,766,448,719 is 123368896.

LCM Formula to Find Lowest Common Multiple of 719,766,448,719

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 766 x 448 x 719 = 177404472448

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

766 : 1, 2, 383, 766

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,766,448,719, is 1.

Now, the common factors can be found like this.

719:719

766:2x 383

448:2x 2x 2x 2x 2x 2x 7

719:719

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

2x 719 = 1438

Therefore, the value for common factors is 1438.

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 = 177404472448/(1x1438)

LCM = 177404472448/1438

LCM = 123368896

Thus, we can understand that the LCM of 719,766,448,719 is 123368896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 719, 766, 448, 719

1. What is the LCM of 719, 766, 448, 719?

Answer: LCM of 719, 766, 448, 719 is 123368896.

2. How to calculate the LCM of 719, 766, 448, 719?

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, 766, 448, 719.

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}.