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LCM of 713, 180, 360, 586

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


Find the LCM of 713, 180, 360, 586 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, 180, 360, 586. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,180,360,586

Given numbers are 713,180,360,586

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

The LCM of 713,180,360,586 is 75207240.

Find LCM of 713,180,360,586 with Prime Factorization


2 713, 180, 360, 586
2 713, 90, 180, 293
3 713, 45, 90, 293
3 713, 15, 30, 293
5 713, 5, 10, 293
713, 1, 2, 293

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

2 x 2 x 3 x 3 x 5 x 713 x 1 x 2 x 293 = 75207240

Therefore, the lowest common multiple of 713,180,360,586 is 75207240.

LCM Formula to Find Lowest Common Multiple of 713,180,360,586

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 180 x 360 x 586 = 27074606400

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

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,180,360,586, is 1.

Now, the common factors can be found like this.

713:23x 31

180:2x 2x 3x 3x 5

360:2x 2x 2x 3x 3x 5

586:2x 293

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 2x 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 27074606400/(1x360)

LCM = 27074606400/360

LCM = 75207240

Thus, we can understand that the LCM of 713,180,360,586 is 75207240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 180, 360, 586

1. What is the LCM of 713, 180, 360, 586?

Answer: LCM of 713, 180, 360, 586 is 75207240.

2. How to calculate the LCM of 713, 180, 360, 586?

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, 180, 360, 586.

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}.