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LCM of 713, 798, 806, 303

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


Find the LCM of 713, 798, 806, 303 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, 798, 806, 303. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,798,806,303

Given numbers are 713,798,806,303

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

The LCM of 713,798,806,303 is 747062862.

Find LCM of 713,798,806,303 with Prime Factorization


2 713, 798, 806, 303
3 713, 399, 403, 303
31 713, 133, 403, 101
23, 133, 13, 101

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

2 x 3 x 31 x 23 x 133 x 13 x 101 = 747062862

Therefore, the lowest common multiple of 713,798,806,303 is 747062862.

LCM Formula to Find Lowest Common Multiple of 713,798,806,303

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 798 x 806 x 303 = 138953692332

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

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

806 : 1, 2, 13, 26, 31, 62, 403, 806

303 : 1, 3, 101, 303

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,798,806,303, is 1.

Now, the common factors can be found like this.

713:23x 31

798:2x 3x 7x 19

806:2x 13x 31

303:3x 101

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

2x 3x 31 = 186

Therefore, the value for common factors is 186.

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 = 138953692332/(1x186)

LCM = 138953692332/186

LCM = 747062862

Thus, we can understand that the LCM of 713,798,806,303 is 747062862.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 798, 806, 303

1. What is the LCM of 713, 798, 806, 303?

Answer: LCM of 713, 798, 806, 303 is 747062862.

2. How to calculate the LCM of 713, 798, 806, 303?

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, 798, 806, 303.

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}.