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LCM of 209, 334, 551, 872

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


Find the LCM of 209, 334, 551, 872 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, 334, 551, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,334,551,872

Given numbers are 209,334,551,872

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

The LCM of 209,334,551,872 is 882627064.

Find LCM of 209,334,551,872 with Prime Factorization


2 209, 334, 551, 872
19 209, 167, 551, 436
11, 167, 29, 436

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

2 x 19 x 11 x 167 x 29 x 436 = 882627064

Therefore, the lowest common multiple of 209,334,551,872 is 882627064.

LCM Formula to Find Lowest Common Multiple of 209,334,551,872

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 334 x 551 x 872 = 33539828432

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

334 : 1, 2, 167, 334

551 : 1, 19, 29, 551

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,334,551,872, is 1.

Now, the common factors can be found like this.

209:11x 19

334:2x 167

551:19x 29

872:2x 2x 2x 109

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 33539828432/(1x38)

LCM = 33539828432/38

LCM = 882627064

Thus, we can understand that the LCM of 209,334,551,872 is 882627064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 334, 551, 872

1. What is the LCM of 209, 334, 551, 872?

Answer: LCM of 209, 334, 551, 872 is 882627064.

2. How to calculate the LCM of 209, 334, 551, 872?

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, 334, 551, 872.

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}.