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LCM of 253, 331, 243, 873

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


Find the LCM of 253, 331, 243, 873 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 253, 331, 243, 873. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,331,243,873

Given numbers are 253,331,243,873

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

The LCM of 253,331,243,873 is 1973906253.

Find LCM of 253,331,243,873 with Prime Factorization


3 253, 331, 243, 873
3 253, 331, 81, 291
253, 331, 27, 97

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

3 x 3 x 253 x 331 x 27 x 97 = 1973906253

Therefore, the lowest common multiple of 253,331,243,873 is 1973906253.

LCM Formula to Find Lowest Common Multiple of 253,331,243,873

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.

253 x 331 x 243 x 873 = 17765156277

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.

253 : 1, 11, 23, 253

331 : 1, 331

243 : 1, 3, 9, 27, 81, 243

873 : 1, 3, 9, 97, 291, 873

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,331,243,873, is 1.

Now, the common factors can be found like this.

253:11x 23

331:331

243:3x 3x 3x 3x 3

873:3x 3x 97

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 17765156277/(1x9)

LCM = 17765156277/9

LCM = 1973906253

Thus, we can understand that the LCM of 253,331,243,873 is 1973906253.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 331, 243, 873

1. What is the LCM of 253, 331, 243, 873?

Answer: LCM of 253, 331, 243, 873 is 1973906253.

2. How to calculate the LCM of 253, 331, 243, 873?

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 253, 331, 243, 873.

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}.