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LCM of 719, 604, 317, 944

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


Find the LCM of 719, 604, 317, 944 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, 604, 317, 944. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 719,604,317,944

Given numbers are 719,604,317,944

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

The LCM of 719,604,317,944 is 32489056112.

Find LCM of 719,604,317,944 with Prime Factorization


2 719, 604, 317, 944
2 719, 302, 317, 472
719, 151, 317, 236

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

2 x 2 x 719 x 151 x 317 x 236 = 32489056112

Therefore, the lowest common multiple of 719,604,317,944 is 32489056112.

LCM Formula to Find Lowest Common Multiple of 719,604,317,944

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 604 x 317 x 944 = 129956224448

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

604 : 1, 2, 4, 151, 302, 604

317 : 1, 317

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,604,317,944, is 1.

Now, the common factors can be found like this.

719:719

604:2x 2x 151

317:317

944:2x 2x 2x 2x 59

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 129956224448/(1x4)

LCM = 129956224448/4

LCM = 32489056112

Thus, we can understand that the LCM of 719,604,317,944 is 32489056112.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 719, 604, 317, 944

1. What is the LCM of 719, 604, 317, 944?

Answer: LCM of 719, 604, 317, 944 is 32489056112.

2. How to calculate the LCM of 719, 604, 317, 944?

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, 604, 317, 944.

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}.