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LCM of 808, 326, 672

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


Find the LCM of 808, 326, 672 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 808, 326, 672. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,326,672

Given numbers are 808,326,672

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

The LCM of 808,326,672 is 11063136.

Find LCM of 808,326,672 with Prime Factorization


2 808, 326, 672
2 404, 163, 336
2 202, 163, 168
101, 163, 84

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

2 x 2 x 2 x 101 x 163 x 84 = 11063136

Therefore, the lowest common multiple of 808,326,672 is 11063136.

LCM Formula to Find Lowest Common Multiple of 808,326,672

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.

808 x 326 x 672 = 177010176

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

326 : 1, 2, 163, 326

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,326,672, is 2.

Now, the common factors can be found like this.

808:2x 2x 2x 101

326:2x 163

672:2x 2x 2x 2x 2x 3x 7

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 2 = 8

Therefore, the value for common factors is 8.

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 = 177010176/(2x8)

LCM = 177010176/16

LCM = 11063136

Thus, we can understand that the LCM of 808,326,672 is 11063136.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 808, 326, 672

1. What is the LCM of 808, 326, 672?

Answer: LCM of 808, 326, 672 is 11063136.

2. How to calculate the LCM of 808, 326, 672?

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 808, 326, 672.

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}.