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LCM of 730, 327, 612, 330, 713

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


Find the LCM of 730, 327, 612, 330, 713 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 730, 327, 612, 330, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 730,327,612,330,713

Given numbers are 730,327,612,330,713

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

The LCM of 730,327,612,330,713 is 190964658060.

Find LCM of 730,327,612,330,713 with Prime Factorization


2 730, 327, 612, 330, 713
3 365, 327, 306, 165, 713
5 365, 109, 102, 55, 713
73, 109, 102, 11, 713

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

2 x 3 x 5 x 73 x 109 x 102 x 11 x 713 = 190964658060

Therefore, the lowest common multiple of 730,327,612,330,713 is 190964658060.

LCM Formula to Find Lowest Common Multiple of 730,327,612,330,713

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.

730 x 327 x 612 x 330 x 713 = 34373638450800

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

327 : 1, 3, 109, 327

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,327,612,330,713, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

327:3x 109

612:2x 2x 3x 3x 17

330:2x 3x 5x 11

713:23x 31

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

2x 2x 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 34373638450800/(1x180)

LCM = 34373638450800/180

LCM = 190964658060

Thus, we can understand that the LCM of 730,327,612,330,713 is 190964658060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 730, 327, 612, 330, 713

1. What is the LCM of 730, 327, 612, 330, 713?

Answer: LCM of 730, 327, 612, 330, 713 is 190964658060.

2. How to calculate the LCM of 730, 327, 612, 330, 713?

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 730, 327, 612, 330, 713.

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}.