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LCM of 576, 787, 606, 413

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


Find the LCM of 576, 787, 606, 413 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 576, 787, 606, 413. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 576,787,606,413

Given numbers are 576,787,606,413

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

The LCM of 576,787,606,413 is 18909003456.

Find LCM of 576,787,606,413 with Prime Factorization


2 576, 787, 606, 413
3 288, 787, 303, 413
96, 787, 101, 413

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

2 x 3 x 96 x 787 x 101 x 413 = 18909003456

Therefore, the lowest common multiple of 576,787,606,413 is 18909003456.

LCM Formula to Find Lowest Common Multiple of 576,787,606,413

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.

576 x 787 x 606 x 413 = 113454020736

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

787 : 1, 787

606 : 1, 2, 3, 6, 101, 202, 303, 606

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,787,606,413, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

787:787

606:2x 3x 101

413:7x 59

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 = 113454020736/(1x6)

LCM = 113454020736/6

LCM = 18909003456

Thus, we can understand that the LCM of 576,787,606,413 is 18909003456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 576, 787, 606, 413

1. What is the LCM of 576, 787, 606, 413?

Answer: LCM of 576, 787, 606, 413 is 18909003456.

2. How to calculate the LCM of 576, 787, 606, 413?

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 576, 787, 606, 413.

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}.