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LCM of 593, 377, 717, 816

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


Find the LCM of 593, 377, 717, 816 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 593, 377, 717, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 593,377,717,816

Given numbers are 593,377,717,816

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

The LCM of 593,377,717,816 is 43599760464.

Find LCM of 593,377,717,816 with Prime Factorization


3 593, 377, 717, 816
593, 377, 239, 272

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

3 x 593 x 377 x 239 x 272 = 43599760464

Therefore, the lowest common multiple of 593,377,717,816 is 43599760464.

LCM Formula to Find Lowest Common Multiple of 593,377,717,816

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.

593 x 377 x 717 x 816 = 130799281392

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.

593 : 1, 593

377 : 1, 13, 29, 377

717 : 1, 3, 239, 717

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 593,377,717,816, is 1.

Now, the common factors can be found like this.

593:593

377:13x 29

717:3x 239

816:2x 2x 2x 2x 3x 17

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

3 = 3

Therefore, the value for common factors is 3.

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 = 130799281392/(1x3)

LCM = 130799281392/3

LCM = 43599760464

Thus, we can understand that the LCM of 593,377,717,816 is 43599760464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 593, 377, 717, 816

1. What is the LCM of 593, 377, 717, 816?

Answer: LCM of 593, 377, 717, 816 is 43599760464.

2. How to calculate the LCM of 593, 377, 717, 816?

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 593, 377, 717, 816.

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}.