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LCM of 902, 517, 517, 345

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


Find the LCM of 902, 517, 517, 345 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 902, 517, 517, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,517,517,345

Given numbers are 902,517,517,345

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

The LCM of 902,517,517,345 is 14625930.

Find LCM of 902,517,517,345 with Prime Factorization


11 902, 517, 517, 345
47 82, 47, 47, 345
82, 1, 1, 345

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

11 x 47 x 82 x 1 x 1 x 345 = 14625930

Therefore, the lowest common multiple of 902,517,517,345 is 14625930.

LCM Formula to Find Lowest Common Multiple of 902,517,517,345

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.

902 x 517 x 517 x 345 = 83177663910

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.

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

517 : 1, 11, 47, 517

517 : 1, 11, 47, 517

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,517,517,345, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

517:11x 47

517:11x 47

345:3x 5x 23

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

11x 11x 47 = 5687

Therefore, the value for common factors is 5687.

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 = 83177663910/(1x5687)

LCM = 83177663910/5687

LCM = 14625930

Thus, we can understand that the LCM of 902,517,517,345 is 14625930.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 517, 517, 345

1. What is the LCM of 902, 517, 517, 345?

Answer: LCM of 902, 517, 517, 345 is 14625930.

2. How to calculate the LCM of 902, 517, 517, 345?

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 902, 517, 517, 345.

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}.