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LCM of 908, 361, 722, 582

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


Find the LCM of 908, 361, 722, 582 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 908, 361, 722, 582. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 908,361,722,582

Given numbers are 908,361,722,582

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

The LCM of 908,361,722,582 is 95386308.

Find LCM of 908,361,722,582 with Prime Factorization


2 908, 361, 722, 582
19 454, 361, 361, 291
19 454, 19, 19, 291
454, 1, 1, 291

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

2 x 19 x 19 x 454 x 1 x 1 x 291 = 95386308

Therefore, the lowest common multiple of 908,361,722,582 is 95386308.

LCM Formula to Find Lowest Common Multiple of 908,361,722,582

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.

908 x 361 x 722 x 582 = 137737828752

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.

908 : 1, 2, 4, 227, 454, 908

361 : 1, 19, 361

722 : 1, 2, 19, 38, 361, 722

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,361,722,582, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

361:19x 19

722:2x 19x 19

582:2x 3x 97

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

2x 2x 19x 19 = 1444

Therefore, the value for common factors is 1444.

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 = 137737828752/(1x1444)

LCM = 137737828752/1444

LCM = 95386308

Thus, we can understand that the LCM of 908,361,722,582 is 95386308.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 908, 361, 722, 582

1. What is the LCM of 908, 361, 722, 582?

Answer: LCM of 908, 361, 722, 582 is 95386308.

2. How to calculate the LCM of 908, 361, 722, 582?

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 908, 361, 722, 582.

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}.