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LCM of 713, 810, 451, 684

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


Find the LCM of 713, 810, 451, 684 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, 810, 451, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,810,451,684

Given numbers are 713,810,451,684

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

The LCM of 713,810,451,684 is 9897709140.

Find LCM of 713,810,451,684 with Prime Factorization


2 713, 810, 451, 684
3 713, 405, 451, 342
3 713, 135, 451, 114
713, 45, 451, 38

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

2 x 3 x 3 x 713 x 45 x 451 x 38 = 9897709140

Therefore, the lowest common multiple of 713,810,451,684 is 9897709140.

LCM Formula to Find Lowest Common Multiple of 713,810,451,684

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 810 x 451 x 684 = 178158764520

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

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

451 : 1, 11, 41, 451

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,810,451,684, is 1.

Now, the common factors can be found like this.

713:23x 31

810:2x 3x 3x 3x 3x 5

451:11x 41

684:2x 2x 3x 3x 19

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 3 = 18

Therefore, the value for common factors is 18.

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 = 178158764520/(1x18)

LCM = 178158764520/18

LCM = 9897709140

Thus, we can understand that the LCM of 713,810,451,684 is 9897709140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 810, 451, 684

1. What is the LCM of 713, 810, 451, 684?

Answer: LCM of 713, 810, 451, 684 is 9897709140.

2. How to calculate the LCM of 713, 810, 451, 684?

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, 810, 451, 684.

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}.