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LCM of 6, 341, 724, 806

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


Find the LCM of 6, 341, 724, 806 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, 341, 724, 806. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6,341,724,806

Given numbers are 6,341,724,806

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

The LCM of 6,341,724,806 is 9628476.

Find LCM of 6,341,724,806 with Prime Factorization


2 6, 341, 724, 806
31 3, 341, 362, 403
3, 11, 362, 13

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

2 x 31 x 3 x 11 x 362 x 13 = 9628476

Therefore, the lowest common multiple of 6,341,724,806 is 9628476.

LCM Formula to Find Lowest Common Multiple of 6,341,724,806

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 341 x 724 x 806 = 1193931024

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

341 : 1, 11, 31, 341

724 : 1, 2, 4, 181, 362, 724

806 : 1, 2, 13, 26, 31, 62, 403, 806

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,341,724,806, is 1.

Now, the common factors can be found like this.

6:2x 3

341:11x 31

724:2x 2x 181

806:2x 13x 31

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 31 = 124

Therefore, the value for common factors is 124.

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 = 1193931024/(1x124)

LCM = 1193931024/124

LCM = 9628476

Thus, we can understand that the LCM of 6,341,724,806 is 9628476.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 6, 341, 724, 806

1. What is the LCM of 6, 341, 724, 806?

Answer: LCM of 6, 341, 724, 806 is 9628476.

2. How to calculate the LCM of 6, 341, 724, 806?

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, 341, 724, 806.

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}.