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LCM of 181, 606, 327, 303, 213

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


Find the LCM of 181, 606, 327, 303, 213 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 181, 606, 327, 303, 213. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 181,606,327,303,213

Given numbers are 181,606,327,303,213

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

The LCM of 181,606,327,303,213 is 848859954.

Find LCM of 181,606,327,303,213 with Prime Factorization


3 181, 606, 327, 303, 213
101 181, 202, 109, 101, 71
181, 2, 109, 1, 71

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

3 x 101 x 181 x 2 x 109 x 1 x 71 = 848859954

Therefore, the lowest common multiple of 181,606,327,303,213 is 848859954.

LCM Formula to Find Lowest Common Multiple of 181,606,327,303,213

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.

181 x 606 x 327 x 303 x 213 = 2314841094558

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.

181 : 1, 181

606 : 1, 2, 3, 6, 101, 202, 303, 606

327 : 1, 3, 109, 327

303 : 1, 3, 101, 303

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,606,327,303,213, is 1.

Now, the common factors can be found like this.

181:181

606:2x 3x 101

327:3x 109

303:3x 101

213:3x 71

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 3x 101 = 2727

Therefore, the value for common factors is 2727.

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 = 2314841094558/(1x2727)

LCM = 2314841094558/2727

LCM = 848859954

Thus, we can understand that the LCM of 181,606,327,303,213 is 848859954.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 181, 606, 327, 303, 213

1. What is the LCM of 181, 606, 327, 303, 213?

Answer: LCM of 181, 606, 327, 303, 213 is 848859954.

2. How to calculate the LCM of 181, 606, 327, 303, 213?

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 181, 606, 327, 303, 213.

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}.