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LCM of 353, 519, 353, 214

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


Find the LCM of 353, 519, 353, 214 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 353, 519, 353, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 353,519,353,214

Given numbers are 353,519,353,214

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

The LCM of 353,519,353,214 is 39206298.

Find LCM of 353,519,353,214 with Prime Factorization


353 353, 519, 353, 214
1, 519, 1, 214

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

353 x 1 x 519 x 1 x 214 = 39206298

Therefore, the lowest common multiple of 353,519,353,214 is 39206298.

LCM Formula to Find Lowest Common Multiple of 353,519,353,214

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.

353 x 519 x 353 x 214 = 13839823194

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.

353 : 1, 353

519 : 1, 3, 173, 519

353 : 1, 353

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,519,353,214, is 1.

Now, the common factors can be found like this.

353:353

519:3x 173

353:353

214:2x 107

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 = 13839823194/(1x353)

LCM = 13839823194/353

LCM = 39206298

Thus, we can understand that the LCM of 353,519,353,214 is 39206298.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 353, 519, 353, 214

1. What is the LCM of 353, 519, 353, 214?

Answer: LCM of 353, 519, 353, 214 is 39206298.

2. How to calculate the LCM of 353, 519, 353, 214?

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 353, 519, 353, 214.

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}.