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LCM of 458, 691, 706, 556, 766

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


Find the LCM of 458, 691, 706, 556, 766 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 458, 691, 706, 556, 766. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 458,691,706,556,766

Given numbers are 458,691,706,556,766

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

The LCM of 458,691,706,556,766 is 11894927535916.

Find LCM of 458,691,706,556,766 with Prime Factorization


2 458, 691, 706, 556, 766
229, 691, 353, 278, 383

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

2 x 229 x 691 x 353 x 278 x 383 = 11894927535916

Therefore, the lowest common multiple of 458,691,706,556,766 is 11894927535916.

LCM Formula to Find Lowest Common Multiple of 458,691,706,556,766

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.

458 x 691 x 706 x 556 x 766 = 95159420287328

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.

458 : 1, 2, 229, 458

691 : 1, 691

706 : 1, 2, 353, 706

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

766 : 1, 2, 383, 766

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,691,706,556,766, is 1.

Now, the common factors can be found like this.

458:2x 229

691:691

706:2x 353

556:2x 2x 139

766:2x 383

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 2 = 8

Therefore, the value for common factors is 8.

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 = 95159420287328/(1x8)

LCM = 95159420287328/8

LCM = 11894927535916

Thus, we can understand that the LCM of 458,691,706,556,766 is 11894927535916.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 458, 691, 706, 556, 766

1. What is the LCM of 458, 691, 706, 556, 766?

Answer: LCM of 458, 691, 706, 556, 766 is 11894927535916.

2. How to calculate the LCM of 458, 691, 706, 556, 766?

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 458, 691, 706, 556, 766.

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}.