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LCM of 713, 969, 935, 909

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


Find the LCM of 713, 969, 935, 909 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, 969, 935, 909. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,969,935,909

Given numbers are 713,969,935,909

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

The LCM of 713,969,935,909 is 11513798505.

Find LCM of 713,969,935,909 with Prime Factorization


3 713, 969, 935, 909
17 713, 323, 935, 303
713, 19, 55, 303

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

3 x 17 x 713 x 19 x 55 x 303 = 11513798505

Therefore, the lowest common multiple of 713,969,935,909 is 11513798505.

LCM Formula to Find Lowest Common Multiple of 713,969,935,909

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 969 x 935 x 909 = 587203723755

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

935 : 1, 5, 11, 17, 55, 85, 187, 935

909 : 1, 3, 9, 101, 303, 909

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,969,935,909, is 1.

Now, the common factors can be found like this.

713:23x 31

969:3x 17x 19

935:5x 11x 17

909:3x 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.

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 587203723755/(1x51)

LCM = 587203723755/51

LCM = 11513798505

Thus, we can understand that the LCM of 713,969,935,909 is 11513798505.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 969, 935, 909

1. What is the LCM of 713, 969, 935, 909?

Answer: LCM of 713, 969, 935, 909 is 11513798505.

2. How to calculate the LCM of 713, 969, 935, 909?

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, 969, 935, 909.

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}.