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LCM of 213, 969, 912, 819

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


Find the LCM of 213, 969, 912, 819 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, 969, 912, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 213,969,912,819

Given numbers are 213,969,912,819

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

The LCM of 213,969,912,819 is 300514032.

Find LCM of 213,969,912,819 with Prime Factorization


3 213, 969, 912, 819
19 71, 323, 304, 273
71, 17, 16, 273

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

3 x 19 x 71 x 17 x 16 x 273 = 300514032

Therefore, the lowest common multiple of 213,969,912,819 is 300514032.

LCM Formula to Find Lowest Common Multiple of 213,969,912,819

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 969 x 912 x 819 = 154163698416

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,969,912,819, is 3.

Now, the common factors can be found like this.

213:3x 71

969:3x 17x 19

912:2x 2x 2x 2x 3x 19

819:3x 3x 7x 13

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 19 = 171

Therefore, the value for common factors is 171.

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 = 154163698416/(3x171)

LCM = 154163698416/513

LCM = 300514032

Thus, we can understand that the LCM of 213,969,912,819 is 300514032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 213, 969, 912, 819

1. What is the LCM of 213, 969, 912, 819?

Answer: LCM of 213, 969, 912, 819 is 300514032.

2. How to calculate the LCM of 213, 969, 912, 819?

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, 969, 912, 819.

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}.