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LCM of 823, 185, 339, 222, 337

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


Find the LCM of 823, 185, 339, 222, 337 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 823, 185, 339, 222, 337. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 823,185,339,222,337

Given numbers are 823,185,339,222,337

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

The LCM of 823,185,339,222,337 is 34788135930.

Find LCM of 823,185,339,222,337 with Prime Factorization


3 823, 185, 339, 222, 337
37 823, 185, 113, 74, 337
823, 5, 113, 2, 337

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

3 x 37 x 823 x 5 x 113 x 2 x 337 = 34788135930

Therefore, the lowest common multiple of 823,185,339,222,337 is 34788135930.

LCM Formula to Find Lowest Common Multiple of 823,185,339,222,337

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.

823 x 185 x 339 x 222 x 337 = 3861483088230

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.

823 : 1, 823

185 : 1, 5, 37, 185

339 : 1, 3, 113, 339

222 : 1, 2, 3, 6, 37, 74, 111, 222

337 : 1, 337

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,185,339,222,337, is 1.

Now, the common factors can be found like this.

823:823

185:5x 37

339:3x 113

222:2x 3x 37

337:337

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

3x 37 = 111

Therefore, the value for common factors is 111.

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 = 3861483088230/(1x111)

LCM = 3861483088230/111

LCM = 34788135930

Thus, we can understand that the LCM of 823,185,339,222,337 is 34788135930.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 823, 185, 339, 222, 337

1. What is the LCM of 823, 185, 339, 222, 337?

Answer: LCM of 823, 185, 339, 222, 337 is 34788135930.

2. How to calculate the LCM of 823, 185, 339, 222, 337?

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 823, 185, 339, 222, 337.

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}.