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LCM of 213, 321, 321, 370

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


Find the LCM of 213, 321, 321, 370 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 213, 321, 321, 370. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 213,321,321,370

Given numbers are 213,321,321,370

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

The LCM of 213,321,321,370 is 8432670.

Find LCM of 213,321,321,370 with Prime Factorization


3 213, 321, 321, 370
107 71, 107, 107, 370
71, 1, 1, 370

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

3 x 107 x 71 x 1 x 1 x 370 = 8432670

Therefore, the lowest common multiple of 213,321,321,370 is 8432670.

LCM Formula to Find Lowest Common Multiple of 213,321,321,370

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.

213 x 321 x 321 x 370 = 8120661210

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.

213 : 1, 3, 71, 213

321 : 1, 3, 107, 321

321 : 1, 3, 107, 321

370 : 1, 2, 5, 10, 37, 74, 185, 370

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,321,321,370, is 1.

Now, the common factors can be found like this.

213:3x 71

321:3x 107

321:3x 107

370:2x 5x 37

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

3x 3x 107 = 963

Therefore, the value for common factors is 963.

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 = 8120661210/(1x963)

LCM = 8120661210/963

LCM = 8432670

Thus, we can understand that the LCM of 213,321,321,370 is 8432670.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 213, 321, 321, 370

1. What is the LCM of 213, 321, 321, 370?

Answer: LCM of 213, 321, 321, 370 is 8432670.

2. How to calculate the LCM of 213, 321, 321, 370?

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 213, 321, 321, 370.

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}.