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LCM of 910, 350, 721, 206

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


Find the LCM of 910, 350, 721, 206 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 910, 350, 721, 206. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,350,721,206

Given numbers are 910,350,721,206

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

The LCM of 910,350,721,206 is 468650.

Find LCM of 910,350,721,206 with Prime Factorization


2 910, 350, 721, 206
5 455, 175, 721, 103
7 91, 35, 721, 103
103 13, 5, 103, 103
13, 5, 1, 1

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

2 x 5 x 7 x 103 x 13 x 5 x 1 x 1 = 468650

Therefore, the lowest common multiple of 910,350,721,206 is 468650.

LCM Formula to Find Lowest Common Multiple of 910,350,721,206

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.

910 x 350 x 721 x 206 = 47305531000

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

721 : 1, 7, 103, 721

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,350,721,206, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

350:2x 5x 5x 7

721:7x 103

206:2x 103

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 5x 7x 7x 103 = 100940

Therefore, the value for common factors is 100940.

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 = 47305531000/(1x100940)

LCM = 47305531000/100940

LCM = 468650

Thus, we can understand that the LCM of 910,350,721,206 is 468650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 350, 721, 206

1. What is the LCM of 910, 350, 721, 206?

Answer: LCM of 910, 350, 721, 206 is 468650.

2. How to calculate the LCM of 910, 350, 721, 206?

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 910, 350, 721, 206.

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}.