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LCM of 6, 916, 706, 229

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


Find the LCM of 6, 916, 706, 229 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 6, 916, 706, 229. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6,916,706,229

Given numbers are 6,916,706,229

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

The LCM of 6,916,706,229 is 970044.

Find LCM of 6,916,706,229 with Prime Factorization


2 6, 916, 706, 229
229 3, 458, 353, 229
3, 2, 353, 1

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

2 x 229 x 3 x 2 x 353 x 1 = 970044

Therefore, the lowest common multiple of 6,916,706,229 is 970044.

LCM Formula to Find Lowest Common Multiple of 6,916,706,229

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.

6 x 916 x 706 x 229 = 888560304

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.

6 : 1, 2, 3, 6

916 : 1, 2, 4, 229, 458, 916

706 : 1, 2, 353, 706

229 : 1, 229

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,916,706,229, is 1.

Now, the common factors can be found like this.

6:2x 3

916:2x 2x 229

706:2x 353

229:229

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 229 = 916

Therefore, the value for common factors is 916.

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 = 888560304/(1x916)

LCM = 888560304/916

LCM = 970044

Thus, we can understand that the LCM of 6,916,706,229 is 970044.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 6, 916, 706, 229

1. What is the LCM of 6, 916, 706, 229?

Answer: LCM of 6, 916, 706, 229 is 970044.

2. How to calculate the LCM of 6, 916, 706, 229?

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 6, 916, 706, 229.

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}.