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LCM of 553, 910, 691, 338

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


Find the LCM of 553, 910, 691, 338 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 553, 910, 691, 338. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 553,910,691,338

Given numbers are 553,910,691,338

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

The LCM of 553,910,691,338 is 645787870.

Find LCM of 553,910,691,338 with Prime Factorization


2 553, 910, 691, 338
7 553, 455, 691, 169
13 79, 65, 691, 169
79, 5, 691, 13

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

2 x 7 x 13 x 79 x 5 x 691 x 13 = 645787870

Therefore, the lowest common multiple of 553,910,691,338 is 645787870.

LCM Formula to Find Lowest Common Multiple of 553,910,691,338

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.

553 x 910 x 691 x 338 = 117533392340

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.

553 : 1, 7, 79, 553

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

691 : 1, 691

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,910,691,338, is 1.

Now, the common factors can be found like this.

553:7x 79

910:2x 5x 7x 13

691:691

338:2x 13x 13

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

2x 7x 13 = 182

Therefore, the value for common factors is 182.

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 = 117533392340/(1x182)

LCM = 117533392340/182

LCM = 645787870

Thus, we can understand that the LCM of 553,910,691,338 is 645787870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 553, 910, 691, 338

1. What is the LCM of 553, 910, 691, 338?

Answer: LCM of 553, 910, 691, 338 is 645787870.

2. How to calculate the LCM of 553, 910, 691, 338?

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 553, 910, 691, 338.

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}.