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LCM of 611, 706, 353, 311

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


Find the LCM of 611, 706, 353, 311 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 611, 706, 353, 311. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 611,706,353,311

Given numbers are 611,706,353,311

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

The LCM of 611,706,353,311 is 134154826.

Find LCM of 611,706,353,311 with Prime Factorization


353 611, 706, 353, 311
611, 2, 1, 311

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

353 x 611 x 2 x 1 x 311 = 134154826

Therefore, the lowest common multiple of 611,706,353,311 is 134154826.

LCM Formula to Find Lowest Common Multiple of 611,706,353,311

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.

611 x 706 x 353 x 311 = 47356653578

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.

611 : 1, 13, 47, 611

706 : 1, 2, 353, 706

353 : 1, 353

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,706,353,311, is 1.

Now, the common factors can be found like this.

611:13x 47

706:2x 353

353:353

311:311

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 = 47356653578/(1x353)

LCM = 47356653578/353

LCM = 134154826

Thus, we can understand that the LCM of 611,706,353,311 is 134154826.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 611, 706, 353, 311

1. What is the LCM of 611, 706, 353, 311?

Answer: LCM of 611, 706, 353, 311 is 134154826.

2. How to calculate the LCM of 611, 706, 353, 311?

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 611, 706, 353, 311.

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}.