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LCM of 717, 361, 309, 902, 454

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


Find the LCM of 717, 361, 309, 902, 454 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 717, 361, 309, 902, 454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,361,309,902,454

Given numbers are 717,361,309,902,454

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

The LCM of 717,361,309,902,454 is 5458784843094.

Find LCM of 717,361,309,902,454 with Prime Factorization


2 717, 361, 309, 902, 454
3 717, 361, 309, 451, 227
239, 361, 103, 451, 227

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

2 x 3 x 239 x 361 x 103 x 451 x 227 = 5458784843094

Therefore, the lowest common multiple of 717,361,309,902,454 is 5458784843094.

LCM Formula to Find Lowest Common Multiple of 717,361,309,902,454

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.

717 x 361 x 309 x 902 x 454 = 32752709058564

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.

717 : 1, 3, 239, 717

361 : 1, 19, 361

309 : 1, 3, 103, 309

902 : 1, 2, 11, 22, 41, 82, 451, 902

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,361,309,902,454, is 1.

Now, the common factors can be found like this.

717:3x 239

361:19x 19

309:3x 103

902:2x 11x 41

454:2x 227

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 32752709058564/(1x6)

LCM = 32752709058564/6

LCM = 5458784843094

Thus, we can understand that the LCM of 717,361,309,902,454 is 5458784843094.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 361, 309, 902, 454

1. What is the LCM of 717, 361, 309, 902, 454?

Answer: LCM of 717, 361, 309, 902, 454 is 5458784843094.

2. How to calculate the LCM of 717, 361, 309, 902, 454?

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 717, 361, 309, 902, 454.

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}.