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LCM of 769, 165, 342, 687

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


Find the LCM of 769, 165, 342, 687 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 769, 165, 342, 687. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 769,165,342,687

Given numbers are 769,165,342,687

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

The LCM of 769,165,342,687 is 3312459810.

Find LCM of 769,165,342,687 with Prime Factorization


3 769, 165, 342, 687
769, 55, 114, 229

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

3 x 769 x 55 x 114 x 229 = 3312459810

Therefore, the lowest common multiple of 769,165,342,687 is 3312459810.

LCM Formula to Find Lowest Common Multiple of 769,165,342,687

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.

769 x 165 x 342 x 687 = 29812138290

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.

769 : 1, 769

165 : 1, 3, 5, 11, 15, 33, 55, 165

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,165,342,687, is 1.

Now, the common factors can be found like this.

769:769

165:3x 5x 11

342:2x 3x 3x 19

687:3x 229

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 29812138290/(1x9)

LCM = 29812138290/9

LCM = 3312459810

Thus, we can understand that the LCM of 769,165,342,687 is 3312459810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 769, 165, 342, 687

1. What is the LCM of 769, 165, 342, 687?

Answer: LCM of 769, 165, 342, 687 is 3312459810.

2. How to calculate the LCM of 769, 165, 342, 687?

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 769, 165, 342, 687.

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}.