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LCM of 311, 706, 353, 175

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


Find the LCM of 311, 706, 353, 175 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, 706, 353, 175. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,706,353,175

Given numbers are 311,706,353,175

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

The LCM of 311,706,353,175 is 38424050.

Find LCM of 311,706,353,175 with Prime Factorization


353 311, 706, 353, 175
311, 2, 1, 175

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

353 x 311 x 2 x 1 x 175 = 38424050

Therefore, the lowest common multiple of 311,706,353,175 is 38424050.

LCM Formula to Find Lowest Common Multiple of 311,706,353,175

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 706 x 353 x 175 = 13563689650

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

706 : 1, 2, 353, 706

353 : 1, 353

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,706,353,175, is 1.

Now, the common factors can be found like this.

311:311

706:2x 353

353:353

175:5x 5x 7

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

353 = 353

Therefore, the value for common factors is 353.

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 = 13563689650/(1x353)

LCM = 13563689650/353

LCM = 38424050

Thus, we can understand that the LCM of 311,706,353,175 is 38424050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 706, 353, 175

1. What is the LCM of 311, 706, 353, 175?

Answer: LCM of 311, 706, 353, 175 is 38424050.

2. How to calculate the LCM of 311, 706, 353, 175?

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, 706, 353, 175.

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}.