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LCM of 226, 894, 368, 230

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


Find the LCM of 226, 894, 368, 230 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, 894, 368, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 226,894,368,230

Given numbers are 226,894,368,230

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

The LCM of 226,894,368,230 is 92940240.

Find LCM of 226,894,368,230 with Prime Factorization


2 226, 894, 368, 230
23 113, 447, 184, 115
113, 447, 8, 5

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

2 x 23 x 113 x 447 x 8 x 5 = 92940240

Therefore, the lowest common multiple of 226,894,368,230 is 92940240.

LCM Formula to Find Lowest Common Multiple of 226,894,368,230

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 894 x 368 x 230 = 17101004160

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

894 : 1, 2, 3, 6, 149, 298, 447, 894

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

230 : 1, 2, 5, 10, 23, 46, 115, 230

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,894,368,230, is 2.

Now, the common factors can be found like this.

226:2x 113

894:2x 3x 149

368:2x 2x 2x 2x 23

230:2x 5x 23

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

2x 2x 23 = 92

Therefore, the value for common factors is 92.

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 = 17101004160/(2x92)

LCM = 17101004160/184

LCM = 92940240

Thus, we can understand that the LCM of 226,894,368,230 is 92940240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 226, 894, 368, 230

1. What is the LCM of 226, 894, 368, 230?

Answer: LCM of 226, 894, 368, 230 is 92940240.

2. How to calculate the LCM of 226, 894, 368, 230?

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, 894, 368, 230.

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}.