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LCM of 908, 561, 313, 136, 556

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


Find the LCM of 908, 561, 313, 136, 556 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, 561, 313, 136, 556. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 908,561,313,136,556

Given numbers are 908,561,313,136,556

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

The LCM of 908,561,313,136,556 is 44323887432.

Find LCM of 908,561,313,136,556 with Prime Factorization


2 908, 561, 313, 136, 556
2 454, 561, 313, 68, 278
17 227, 561, 313, 34, 139
227, 33, 313, 2, 139

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

2 x 2 x 17 x 227 x 33 x 313 x 2 x 139 = 44323887432

Therefore, the lowest common multiple of 908,561,313,136,556 is 44323887432.

LCM Formula to Find Lowest Common Multiple of 908,561,313,136,556

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 561 x 313 x 136 x 556 = 12056097381504

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

561 : 1, 3, 11, 17, 33, 51, 187, 561

313 : 1, 313

136 : 1, 2, 4, 8, 17, 34, 68, 136

556 : 1, 2, 4, 139, 278, 556

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,561,313,136,556, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

561:3x 11x 17

313:313

136:2x 2x 2x 17

556:2x 2x 139

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 2x 2x 17 = 272

Therefore, the value for common factors is 272.

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 = 12056097381504/(1x272)

LCM = 12056097381504/272

LCM = 44323887432

Thus, we can understand that the LCM of 908,561,313,136,556 is 44323887432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 908, 561, 313, 136, 556

1. What is the LCM of 908, 561, 313, 136, 556?

Answer: LCM of 908, 561, 313, 136, 556 is 44323887432.

2. How to calculate the LCM of 908, 561, 313, 136, 556?

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, 561, 313, 136, 556.

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}.