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LCM of 822, 726, 957, 899, 349

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


Find the LCM of 822, 726, 957, 899, 349 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 822, 726, 957, 899, 349. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,726,957,899,349

Given numbers are 822,726,957,899,349

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

The LCM of 822,726,957,899,349 is 31206301962.

Find LCM of 822,726,957,899,349 with Prime Factorization


2 822, 726, 957, 899, 349
3 411, 363, 957, 899, 349
11 137, 121, 319, 899, 349
29 137, 11, 29, 899, 349
137, 11, 1, 31, 349

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

2 x 3 x 11 x 29 x 137 x 11 x 1 x 31 x 349 = 31206301962

Therefore, the lowest common multiple of 822,726,957,899,349 is 31206301962.

LCM Formula to Find Lowest Common Multiple of 822,726,957,899,349

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.

822 x 726 x 957 x 899 x 349 = 179186585865804

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.

822 : 1, 2, 3, 6, 137, 274, 411, 822

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

957 : 1, 3, 11, 29, 33, 87, 319, 957

899 : 1, 29, 31, 899

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,726,957,899,349, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

726:2x 3x 11x 11

957:3x 11x 29

899:29x 31

349:349

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

2x 3x 3x 11x 29 = 5742

Therefore, the value for common factors is 5742.

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 = 179186585865804/(1x5742)

LCM = 179186585865804/5742

LCM = 31206301962

Thus, we can understand that the LCM of 822,726,957,899,349 is 31206301962.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 726, 957, 899, 349

1. What is the LCM of 822, 726, 957, 899, 349?

Answer: LCM of 822, 726, 957, 899, 349 is 31206301962.

2. How to calculate the LCM of 822, 726, 957, 899, 349?

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 822, 726, 957, 899, 349.

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}.