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LCM of 230, 214, 389, 821

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


Find the LCM of 230, 214, 389, 821 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 230, 214, 389, 821. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,214,389,821

Given numbers are 230,214,389,821

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

The LCM of 230,214,389,821 is 7859671090.

Find LCM of 230,214,389,821 with Prime Factorization


2 230, 214, 389, 821
115, 107, 389, 821

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

2 x 115 x 107 x 389 x 821 = 7859671090

Therefore, the lowest common multiple of 230,214,389,821 is 7859671090.

LCM Formula to Find Lowest Common Multiple of 230,214,389,821

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.

230 x 214 x 389 x 821 = 15719342180

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

214 : 1, 2, 107, 214

389 : 1, 389

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,214,389,821, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

214:2x 107

389:389

821:821

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

2 = 2

Therefore, the value for common factors is 2.

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 = 15719342180/(1x2)

LCM = 15719342180/2

LCM = 7859671090

Thus, we can understand that the LCM of 230,214,389,821 is 7859671090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 214, 389, 821

1. What is the LCM of 230, 214, 389, 821?

Answer: LCM of 230, 214, 389, 821 is 7859671090.

2. How to calculate the LCM of 230, 214, 389, 821?

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 230, 214, 389, 821.

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}.