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LCM of 209, 687, 483, 621

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


Find the LCM of 209, 687, 483, 621 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 209, 687, 483, 621. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,687,483,621

Given numbers are 209,687,483,621

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

The LCM of 209,687,483,621 is 208051767.

Find LCM of 209,687,483,621 with Prime Factorization


3 209, 687, 483, 621
23 209, 229, 161, 207
209, 229, 7, 9

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

3 x 23 x 209 x 229 x 7 x 9 = 208051767

Therefore, the lowest common multiple of 209,687,483,621 is 208051767.

LCM Formula to Find Lowest Common Multiple of 209,687,483,621

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.

209 x 687 x 483 x 621 = 43066715769

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.

209 : 1, 11, 19, 209

687 : 1, 3, 229, 687

483 : 1, 3, 7, 21, 23, 69, 161, 483

621 : 1, 3, 9, 23, 27, 69, 207, 621

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,687,483,621, is 1.

Now, the common factors can be found like this.

209:11x 19

687:3x 229

483:3x 7x 23

621:3x 3x 3x 23

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 43066715769/(1x207)

LCM = 43066715769/207

LCM = 208051767

Thus, we can understand that the LCM of 209,687,483,621 is 208051767.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 687, 483, 621

1. What is the LCM of 209, 687, 483, 621?

Answer: LCM of 209, 687, 483, 621 is 208051767.

2. How to calculate the LCM of 209, 687, 483, 621?

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 209, 687, 483, 621.

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}.