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LCM of 319, 922, 779, 748

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


Find the LCM of 319, 922, 779, 748 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, 922, 779, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,922,779,748

Given numbers are 319,922,779,748

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

The LCM of 319,922,779,748 is 7790009348.

Find LCM of 319,922,779,748 with Prime Factorization


2 319, 922, 779, 748
11 319, 461, 779, 374
29, 461, 779, 34

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

2 x 11 x 29 x 461 x 779 x 34 = 7790009348

Therefore, the lowest common multiple of 319,922,779,748 is 7790009348.

LCM Formula to Find Lowest Common Multiple of 319,922,779,748

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 922 x 779 x 748 = 171380205656

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

922 : 1, 2, 461, 922

779 : 1, 19, 41, 779

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,922,779,748, is 1.

Now, the common factors can be found like this.

319:11x 29

922:2x 461

779:19x 41

748:2x 2x 11x 17

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 = 171380205656/(1x22)

LCM = 171380205656/22

LCM = 7790009348

Thus, we can understand that the LCM of 319,922,779,748 is 7790009348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 922, 779, 748

1. What is the LCM of 319, 922, 779, 748?

Answer: LCM of 319, 922, 779, 748 is 7790009348.

2. How to calculate the LCM of 319, 922, 779, 748?

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, 922, 779, 748.

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}.