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LCM of 209, 606, 606, 483

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


Find the LCM of 209, 606, 606, 483 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, 606, 606, 483. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,606,606,483

Given numbers are 209,606,606,483

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

The LCM of 209,606,606,483 is 20391294.

Find LCM of 209,606,606,483 with Prime Factorization


2 209, 606, 606, 483
3 209, 303, 303, 483
101 209, 101, 101, 161
209, 1, 1, 161

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

2 x 3 x 101 x 209 x 1 x 1 x 161 = 20391294

Therefore, the lowest common multiple of 209,606,606,483 is 20391294.

LCM Formula to Find Lowest Common Multiple of 209,606,606,483

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 606 x 606 x 483 = 37071372492

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

606 : 1, 2, 3, 6, 101, 202, 303, 606

606 : 1, 2, 3, 6, 101, 202, 303, 606

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,606,606,483, is 1.

Now, the common factors can be found like this.

209:11x 19

606:2x 3x 101

606:2x 3x 101

483:3x 7x 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 3x 3x 101 = 1818

Therefore, the value for common factors is 1818.

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 = 37071372492/(1x1818)

LCM = 37071372492/1818

LCM = 20391294

Thus, we can understand that the LCM of 209,606,606,483 is 20391294.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 606, 606, 483

1. What is the LCM of 209, 606, 606, 483?

Answer: LCM of 209, 606, 606, 483 is 20391294.

2. How to calculate the LCM of 209, 606, 606, 483?

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, 606, 606, 483.

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}.