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LCM of 311, 638, 239, 717

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


Find the LCM of 311, 638, 239, 717 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 311, 638, 239, 717. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,638,239,717

Given numbers are 311,638,239,717

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

The LCM of 311,638,239,717 is 142265706.

Find LCM of 311,638,239,717 with Prime Factorization


239 311, 638, 239, 717
311, 638, 1, 3

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

239 x 311 x 638 x 1 x 3 = 142265706

Therefore, the lowest common multiple of 311,638,239,717 is 142265706.

LCM Formula to Find Lowest Common Multiple of 311,638,239,717

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.

311 x 638 x 239 x 717 = 34001503734

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.

311 : 1, 311

638 : 1, 2, 11, 22, 29, 58, 319, 638

239 : 1, 239

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,638,239,717, is 1.

Now, the common factors can be found like this.

311:311

638:2x 11x 29

239:239

717:3x 239

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

239 = 239

Therefore, the value for common factors is 239.

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 = 34001503734/(1x239)

LCM = 34001503734/239

LCM = 142265706

Thus, we can understand that the LCM of 311,638,239,717 is 142265706.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 638, 239, 717

1. What is the LCM of 311, 638, 239, 717?

Answer: LCM of 311, 638, 239, 717 is 142265706.

2. How to calculate the LCM of 311, 638, 239, 717?

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 311, 638, 239, 717.

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}.