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LCM of 226, 327, 452, 259

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


Find the LCM of 226, 327, 452, 259 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 226, 327, 452, 259. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 226,327,452,259

Given numbers are 226,327,452,259

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

The LCM of 226,327,452,259 is 38281236.

Find LCM of 226,327,452,259 with Prime Factorization


2 226, 327, 452, 259
113 113, 327, 226, 259
1, 327, 2, 259

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

2 x 113 x 1 x 327 x 2 x 259 = 38281236

Therefore, the lowest common multiple of 226,327,452,259 is 38281236.

LCM Formula to Find Lowest Common Multiple of 226,327,452,259

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.

226 x 327 x 452 x 259 = 8651559336

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.

226 : 1, 2, 113, 226

327 : 1, 3, 109, 327

452 : 1, 2, 4, 113, 226, 452

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,327,452,259, is 1.

Now, the common factors can be found like this.

226:2x 113

327:3x 109

452:2x 2x 113

259:7x 37

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

2x 113 = 226

Therefore, the value for common factors is 226.

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 = 8651559336/(1x226)

LCM = 8651559336/226

LCM = 38281236

Thus, we can understand that the LCM of 226,327,452,259 is 38281236.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 226, 327, 452, 259

1. What is the LCM of 226, 327, 452, 259?

Answer: LCM of 226, 327, 452, 259 is 38281236.

2. How to calculate the LCM of 226, 327, 452, 259?

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 226, 327, 452, 259.

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}.