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LCM of 209, 578, 747, 244

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


Find the LCM of 209, 578, 747, 244 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, 578, 747, 244. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,578,747,244

Given numbers are 209,578,747,244

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

The LCM of 209,578,747,244 is 11009169468.

Find LCM of 209,578,747,244 with Prime Factorization


2 209, 578, 747, 244
209, 289, 747, 122

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

2 x 209 x 289 x 747 x 122 = 11009169468

Therefore, the lowest common multiple of 209,578,747,244 is 11009169468.

LCM Formula to Find Lowest Common Multiple of 209,578,747,244

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 578 x 747 x 244 = 22018338936

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

578 : 1, 2, 17, 34, 289, 578

747 : 1, 3, 9, 83, 249, 747

244 : 1, 2, 4, 61, 122, 244

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,578,747,244, is 1.

Now, the common factors can be found like this.

209:11x 19

578:2x 17x 17

747:3x 3x 83

244:2x 2x 61

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

2 = 2

Therefore, the value for common factors is 2.

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 = 22018338936/(1x2)

LCM = 22018338936/2

LCM = 11009169468

Thus, we can understand that the LCM of 209,578,747,244 is 11009169468.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 578, 747, 244

1. What is the LCM of 209, 578, 747, 244?

Answer: LCM of 209, 578, 747, 244 is 11009169468.

2. How to calculate the LCM of 209, 578, 747, 244?

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, 578, 747, 244.

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}.