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LCM of 2, 209, 368, 759

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


Find the LCM of 2, 209, 368, 759 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 2, 209, 368, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2,209,368,759

Given numbers are 2,209,368,759

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

The LCM of 2,209,368,759 is 230736.

Find LCM of 2,209,368,759 with Prime Factorization


2 2, 209, 368, 759
11 1, 209, 184, 759
23 1, 19, 184, 69
1, 19, 8, 3

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

2 x 11 x 23 x 1 x 19 x 8 x 3 = 230736

Therefore, the lowest common multiple of 2,209,368,759 is 230736.

LCM Formula to Find Lowest Common Multiple of 2,209,368,759

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.

2 x 209 x 368 x 759 = 116752416

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.

2 : 1, 2

209 : 1, 11, 19, 209

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2,209,368,759, is 1.

Now, the common factors can be found like this.

2:2

209:11x 19

368:2x 2x 2x 2x 23

759:3x 11x 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 11x 23 = 506

Therefore, the value for common factors is 506.

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 = 116752416/(1x506)

LCM = 116752416/506

LCM = 230736

Thus, we can understand that the LCM of 2,209,368,759 is 230736.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 2, 209, 368, 759

1. What is the LCM of 2, 209, 368, 759?

Answer: LCM of 2, 209, 368, 759 is 230736.

2. How to calculate the LCM of 2, 209, 368, 759?

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 2, 209, 368, 759.

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}.