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LCM of 182, 331, 507, 226

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


Find the LCM of 182, 331, 507, 226 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 182, 331, 507, 226. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,331,507,226

Given numbers are 182,331,507,226

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

The LCM of 182,331,507,226 is 265486494.

Find LCM of 182,331,507,226 with Prime Factorization


2 182, 331, 507, 226
13 91, 331, 507, 113
7, 331, 39, 113

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

2 x 13 x 7 x 331 x 39 x 113 = 265486494

Therefore, the lowest common multiple of 182,331,507,226 is 265486494.

LCM Formula to Find Lowest Common Multiple of 182,331,507,226

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.

182 x 331 x 507 x 226 = 6902648844

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

331 : 1, 331

507 : 1, 3, 13, 39, 169, 507

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,331,507,226, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

331:331

507:3x 13x 13

226:2x 113

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 6902648844/(1x26)

LCM = 6902648844/26

LCM = 265486494

Thus, we can understand that the LCM of 182,331,507,226 is 265486494.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 331, 507, 226

1. What is the LCM of 182, 331, 507, 226?

Answer: LCM of 182, 331, 507, 226 is 265486494.

2. How to calculate the LCM of 182, 331, 507, 226?

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 182, 331, 507, 226.

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}.