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LCM of 719, 326, 447, 790

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


Find the LCM of 719, 326, 447, 790 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, 326, 447, 790. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 719,326,447,790

Given numbers are 719,326,447,790

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

The LCM of 719,326,447,790 is 41385776610.

Find LCM of 719,326,447,790 with Prime Factorization


2 719, 326, 447, 790
719, 163, 447, 395

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

2 x 719 x 163 x 447 x 395 = 41385776610

Therefore, the lowest common multiple of 719,326,447,790 is 41385776610.

LCM Formula to Find Lowest Common Multiple of 719,326,447,790

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 326 x 447 x 790 = 82771553220

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

326 : 1, 2, 163, 326

447 : 1, 3, 149, 447

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,326,447,790, is 1.

Now, the common factors can be found like this.

719:719

326:2x 163

447:3x 149

790:2x 5x 79

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

2 = 2

Therefore, the value for common factors is 2.

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 = 82771553220/(1x2)

LCM = 82771553220/2

LCM = 41385776610

Thus, we can understand that the LCM of 719,326,447,790 is 41385776610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 719, 326, 447, 790

1. What is the LCM of 719, 326, 447, 790?

Answer: LCM of 719, 326, 447, 790 is 41385776610.

2. How to calculate the LCM of 719, 326, 447, 790?

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, 326, 447, 790.

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}.