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LCM of 206, 507, 949, 920

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


Find the LCM of 206, 507, 949, 920 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, 507, 949, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 206,507,949,920

Given numbers are 206,507,949,920

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

The LCM of 206,507,949,920 is 3507162360.

Find LCM of 206,507,949,920 with Prime Factorization


2 206, 507, 949, 920
13 103, 507, 949, 460
103, 39, 73, 460

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

2 x 13 x 103 x 39 x 73 x 460 = 3507162360

Therefore, the lowest common multiple of 206,507,949,920 is 3507162360.

LCM Formula to Find Lowest Common Multiple of 206,507,949,920

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 507 x 949 x 920 = 91186221360

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

507 : 1, 3, 13, 39, 169, 507

949 : 1, 13, 73, 949

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,507,949,920, is 1.

Now, the common factors can be found like this.

206:2x 103

507:3x 13x 13

949:13x 73

920:2x 2x 2x 5x 23

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 91186221360/(1x26)

LCM = 91186221360/26

LCM = 3507162360

Thus, we can understand that the LCM of 206,507,949,920 is 3507162360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 206, 507, 949, 920

1. What is the LCM of 206, 507, 949, 920?

Answer: LCM of 206, 507, 949, 920 is 3507162360.

2. How to calculate the LCM of 206, 507, 949, 920?

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, 507, 949, 920.

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}.