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LCM of 517, 379, 758, 597

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


Find the LCM of 517, 379, 758, 597 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 517, 379, 758, 597. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,379,758,597

Given numbers are 517,379,758,597

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

The LCM of 517,379,758,597 is 233955942.

Find LCM of 517,379,758,597 with Prime Factorization


379 517, 379, 758, 597
517, 1, 2, 597

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

379 x 517 x 1 x 2 x 597 = 233955942

Therefore, the lowest common multiple of 517,379,758,597 is 233955942.

LCM Formula to Find Lowest Common Multiple of 517,379,758,597

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.

517 x 379 x 758 x 597 = 88669302018

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.

517 : 1, 11, 47, 517

379 : 1, 379

758 : 1, 2, 379, 758

597 : 1, 3, 199, 597

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,379,758,597, is 1.

Now, the common factors can be found like this.

517:11x 47

379:379

758:2x 379

597:3x 199

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

379 = 379

Therefore, the value for common factors is 379.

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 = 88669302018/(1x379)

LCM = 88669302018/379

LCM = 233955942

Thus, we can understand that the LCM of 517,379,758,597 is 233955942.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 379, 758, 597

1. What is the LCM of 517, 379, 758, 597?

Answer: LCM of 517, 379, 758, 597 is 233955942.

2. How to calculate the LCM of 517, 379, 758, 597?

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 517, 379, 758, 597.

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}.