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LCM of 226, 361, 452

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


Find the LCM of 226, 361, 452 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, 361, 452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 226,361,452

Given numbers are 226,361,452

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

The LCM of 226,361,452 is 163172.

Find LCM of 226,361,452 with Prime Factorization


2 226, 361, 452
113 113, 361, 226
1, 361, 2

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

2 x 113 x 1 x 361 x 2 = 163172

Therefore, the lowest common multiple of 226,361,452 is 163172.

LCM Formula to Find Lowest Common Multiple of 226,361,452

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 361 x 452 = 36876872

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

361 : 1, 19, 361

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,361,452, is 1.

Now, the common factors can be found like this.

226:2x 113

361:19x 19

452:2x 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 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 = 36876872/(1x226)

LCM = 36876872/226

LCM = 163172

Thus, we can understand that the LCM of 226,361,452 is 163172.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 226, 361, 452

1. What is the LCM of 226, 361, 452?

Answer: LCM of 226, 361, 452 is 163172.

2. How to calculate the LCM of 226, 361, 452?

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, 361, 452.

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}.