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LCM of 713, 311, 529, 548

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


Find the LCM of 713, 311, 529, 548 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 713, 311, 529, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,311,529,548

Given numbers are 713,311,529,548

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

The LCM of 713,311,529,548 is 2794848772.

Find LCM of 713,311,529,548 with Prime Factorization


23 713, 311, 529, 548
31, 311, 23, 548

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

23 x 31 x 311 x 23 x 548 = 2794848772

Therefore, the lowest common multiple of 713,311,529,548 is 2794848772.

LCM Formula to Find Lowest Common Multiple of 713,311,529,548

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.

713 x 311 x 529 x 548 = 64281521756

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.

713 : 1, 23, 31, 713

311 : 1, 311

529 : 1, 23, 529

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,311,529,548, is 1.

Now, the common factors can be found like this.

713:23x 31

311:311

529:23x 23

548:2x 2x 137

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

23 = 23

Therefore, the value for common factors is 23.

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 = 64281521756/(1x23)

LCM = 64281521756/23

LCM = 2794848772

Thus, we can understand that the LCM of 713,311,529,548 is 2794848772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 311, 529, 548

1. What is the LCM of 713, 311, 529, 548?

Answer: LCM of 713, 311, 529, 548 is 2794848772.

2. How to calculate the LCM of 713, 311, 529, 548?

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 713, 311, 529, 548.

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}.