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LCM of 822, 991, 458, 916

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


Find the LCM of 822, 991, 458, 916 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, 991, 458, 916. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,991,458,916

Given numbers are 822,991,458,916

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

The LCM of 822,991,458,916 is 373087716.

Find LCM of 822,991,458,916 with Prime Factorization


2 822, 991, 458, 916
229 411, 991, 229, 458
411, 991, 1, 2

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

2 x 229 x 411 x 991 x 1 x 2 = 373087716

Therefore, the lowest common multiple of 822,991,458,916 is 373087716.

LCM Formula to Find Lowest Common Multiple of 822,991,458,916

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 991 x 458 x 916 = 341748347856

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

991 : 1, 991

458 : 1, 2, 229, 458

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,991,458,916, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

991:991

458:2x 229

916:2x 2x 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 = 341748347856/(1x916)

LCM = 341748347856/916

LCM = 373087716

Thus, we can understand that the LCM of 822,991,458,916 is 373087716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 991, 458, 916

1. What is the LCM of 822, 991, 458, 916?

Answer: LCM of 822, 991, 458, 916 is 373087716.

2. How to calculate the LCM of 822, 991, 458, 916?

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, 991, 458, 916.

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}.