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LCM of 911, 512, 463, 397, 794

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


Find the LCM of 911, 512, 463, 397, 794 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 911, 512, 463, 397, 794. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 911,512,463,397,794

Given numbers are 911,512,463,397,794

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

The LCM of 911,512,463,397,794 is 85735332352.

Find LCM of 911,512,463,397,794 with Prime Factorization


2 911, 512, 463, 397, 794
397 911, 256, 463, 397, 397
911, 256, 463, 1, 1

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

2 x 397 x 911 x 256 x 463 x 1 x 1 = 85735332352

Therefore, the lowest common multiple of 911,512,463,397,794 is 85735332352.

LCM Formula to Find Lowest Common Multiple of 911,512,463,397,794

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.

911 x 512 x 463 x 397 x 794 = 68073853887488

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.

911 : 1, 911

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

463 : 1, 463

397 : 1, 397

794 : 1, 2, 397, 794

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,512,463,397,794, is 1.

Now, the common factors can be found like this.

911:911

512:2x 2x 2x 2x 2x 2x 2x 2x 2

463:463

397:397

794:2x 397

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

2x 397 = 794

Therefore, the value for common factors is 794.

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 = 68073853887488/(1x794)

LCM = 68073853887488/794

LCM = 85735332352

Thus, we can understand that the LCM of 911,512,463,397,794 is 85735332352.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 911, 512, 463, 397, 794

1. What is the LCM of 911, 512, 463, 397, 794?

Answer: LCM of 911, 512, 463, 397, 794 is 85735332352.

2. How to calculate the LCM of 911, 512, 463, 397, 794?

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 911, 512, 463, 397, 794.

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}.