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LCM of 713, 206, 862, 310

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


Find the LCM of 713, 206, 862, 310 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, 206, 862, 310. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,206,862,310

Given numbers are 713,206,862,310

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

The LCM of 713,206,862,310 is 316522090.

Find LCM of 713,206,862,310 with Prime Factorization


2 713, 206, 862, 310
31 713, 103, 431, 155
23, 103, 431, 5

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

2 x 31 x 23 x 103 x 431 x 5 = 316522090

Therefore, the lowest common multiple of 713,206,862,310 is 316522090.

LCM Formula to Find Lowest Common Multiple of 713,206,862,310

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 206 x 862 x 310 = 39248739160

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

206 : 1, 2, 103, 206

862 : 1, 2, 431, 862

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,206,862,310, is 1.

Now, the common factors can be found like this.

713:23x 31

206:2x 103

862:2x 431

310:2x 5x 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 31 = 124

Therefore, the value for common factors is 124.

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 = 39248739160/(1x124)

LCM = 39248739160/124

LCM = 316522090

Thus, we can understand that the LCM of 713,206,862,310 is 316522090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 206, 862, 310

1. What is the LCM of 713, 206, 862, 310?

Answer: LCM of 713, 206, 862, 310 is 316522090.

2. How to calculate the LCM of 713, 206, 862, 310?

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, 206, 862, 310.

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}.