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LCM of 206, 509, 365, 876

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


Find the LCM of 206, 509, 365, 876 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 206, 509, 365, 876. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 206,509,365,876

Given numbers are 206,509,365,876

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

The LCM of 206,509,365,876 is 229630260.

Find LCM of 206,509,365,876 with Prime Factorization


2 206, 509, 365, 876
73 103, 509, 365, 438
103, 509, 5, 6

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

2 x 73 x 103 x 509 x 5 x 6 = 229630260

Therefore, the lowest common multiple of 206,509,365,876 is 229630260.

LCM Formula to Find Lowest Common Multiple of 206,509,365,876

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.

206 x 509 x 365 x 876 = 33526017960

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.

206 : 1, 2, 103, 206

509 : 1, 509

365 : 1, 5, 73, 365

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,509,365,876, is 1.

Now, the common factors can be found like this.

206:2x 103

509:509

365:5x 73

876:2x 2x 3x 73

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

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 33526017960/(1x146)

LCM = 33526017960/146

LCM = 229630260

Thus, we can understand that the LCM of 206,509,365,876 is 229630260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 206, 509, 365, 876

1. What is the LCM of 206, 509, 365, 876?

Answer: LCM of 206, 509, 365, 876 is 229630260.

2. How to calculate the LCM of 206, 509, 365, 876?

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 206, 509, 365, 876.

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}.