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LCM of 344, 275, 309, 814, 659

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


Find the LCM of 344, 275, 309, 814, 659 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 344, 275, 309, 814, 659. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 344,275,309,814,659

Given numbers are 344,275,309,814,659

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

The LCM of 344,275,309,814,659 is 712749226200.

Find LCM of 344,275,309,814,659 with Prime Factorization


2 344, 275, 309, 814, 659
11 172, 275, 309, 407, 659
172, 25, 309, 37, 659

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

2 x 11 x 172 x 25 x 309 x 37 x 659 = 712749226200

Therefore, the lowest common multiple of 344,275,309,814,659 is 712749226200.

LCM Formula to Find Lowest Common Multiple of 344,275,309,814,659

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.

344 x 275 x 309 x 814 x 659 = 15680482976400

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

275 : 1, 5, 11, 25, 55, 275

309 : 1, 3, 103, 309

814 : 1, 2, 11, 22, 37, 74, 407, 814

659 : 1, 659

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,275,309,814,659, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

275:5x 5x 11

309:3x 103

814:2x 11x 37

659:659

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 15680482976400/(1x22)

LCM = 15680482976400/22

LCM = 712749226200

Thus, we can understand that the LCM of 344,275,309,814,659 is 712749226200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 344, 275, 309, 814, 659

1. What is the LCM of 344, 275, 309, 814, 659?

Answer: LCM of 344, 275, 309, 814, 659 is 712749226200.

2. How to calculate the LCM of 344, 275, 309, 814, 659?

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 344, 275, 309, 814, 659.

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}.