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LCM of 222, 299, 729, 227, 161

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


Find the LCM of 222, 299, 729, 227, 161 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 222, 299, 729, 227, 161. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 222,299,729,227,161

Given numbers are 222,299,729,227,161

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

The LCM of 222,299,729,227,161 is 25630338006.

Find LCM of 222,299,729,227,161 with Prime Factorization


3 222, 299, 729, 227, 161
23 74, 299, 243, 227, 161
74, 13, 243, 227, 7

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

3 x 23 x 74 x 13 x 243 x 227 x 7 = 25630338006

Therefore, the lowest common multiple of 222,299,729,227,161 is 25630338006.

LCM Formula to Find Lowest Common Multiple of 222,299,729,227,161

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.

222 x 299 x 729 x 227 x 161 = 1768493322414

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.

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

299 : 1, 13, 23, 299

729 : 1, 3, 9, 27, 81, 243, 729

227 : 1, 227

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,299,729,227,161, is 1.

Now, the common factors can be found like this.

222:2x 3x 37

299:13x 23

729:3x 3x 3x 3x 3x 3

227:227

161:7x 23

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

3x 23 = 69

Therefore, the value for common factors is 69.

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 = 1768493322414/(1x69)

LCM = 1768493322414/69

LCM = 25630338006

Thus, we can understand that the LCM of 222,299,729,227,161 is 25630338006.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 222, 299, 729, 227, 161

1. What is the LCM of 222, 299, 729, 227, 161?

Answer: LCM of 222, 299, 729, 227, 161 is 25630338006.

2. How to calculate the LCM of 222, 299, 729, 227, 161?

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 222, 299, 729, 227, 161.

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}.