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LCM of 206, 782, 515, 788

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


Find the LCM of 206, 782, 515, 788 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, 782, 515, 788. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 206,782,515,788

Given numbers are 206,782,515,788

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

The LCM of 206,782,515,788 is 158675620.

Find LCM of 206,782,515,788 with Prime Factorization


2 206, 782, 515, 788
103 103, 391, 515, 394
1, 391, 5, 394

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

2 x 103 x 1 x 391 x 5 x 394 = 158675620

Therefore, the lowest common multiple of 206,782,515,788 is 158675620.

LCM Formula to Find Lowest Common Multiple of 206,782,515,788

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 782 x 515 x 788 = 65374355440

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

515 : 1, 5, 103, 515

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,782,515,788, is 1.

Now, the common factors can be found like this.

206:2x 103

782:2x 17x 23

515:5x 103

788:2x 2x 197

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 103 = 412

Therefore, the value for common factors is 412.

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 = 65374355440/(1x412)

LCM = 65374355440/412

LCM = 158675620

Thus, we can understand that the LCM of 206,782,515,788 is 158675620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 206, 782, 515, 788

1. What is the LCM of 206, 782, 515, 788?

Answer: LCM of 206, 782, 515, 788 is 158675620.

2. How to calculate the LCM of 206, 782, 515, 788?

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, 782, 515, 788.

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}.