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LCM of 319, 445, 646, 902

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


Find the LCM of 319, 445, 646, 902 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 319, 445, 646, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,445,646,902

Given numbers are 319,445,646,902

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

The LCM of 319,445,646,902 is 3759820130.

Find LCM of 319,445,646,902 with Prime Factorization


2 319, 445, 646, 902
11 319, 445, 323, 451
29, 445, 323, 41

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

2 x 11 x 29 x 445 x 323 x 41 = 3759820130

Therefore, the lowest common multiple of 319,445,646,902 is 3759820130.

LCM Formula to Find Lowest Common Multiple of 319,445,646,902

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.

319 x 445 x 646 x 902 = 82716042860

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.

319 : 1, 11, 29, 319

445 : 1, 5, 89, 445

646 : 1, 2, 17, 19, 34, 38, 323, 646

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,445,646,902, is 1.

Now, the common factors can be found like this.

319:11x 29

445:5x 89

646:2x 17x 19

902:2x 11x 41

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 82716042860/(1x22)

LCM = 82716042860/22

LCM = 3759820130

Thus, we can understand that the LCM of 319,445,646,902 is 3759820130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 445, 646, 902

1. What is the LCM of 319, 445, 646, 902?

Answer: LCM of 319, 445, 646, 902 is 3759820130.

2. How to calculate the LCM of 319, 445, 646, 902?

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 319, 445, 646, 902.

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}.