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LCM of 611, 363, 299, 368, 226

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


Find the LCM of 611, 363, 299, 368, 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 611, 363, 299, 368, 226. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 611,363,299,368,226

Given numbers are 611,363,299,368,226

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

The LCM of 611,363,299,368,226 is 9223040112.

Find LCM of 611,363,299,368,226 with Prime Factorization


2 611, 363, 299, 368, 226
13 611, 363, 299, 184, 113
23 47, 363, 23, 184, 113
47, 363, 1, 8, 113

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

2 x 13 x 23 x 47 x 363 x 1 x 8 x 113 = 9223040112

Therefore, the lowest common multiple of 611,363,299,368,226 is 9223040112.

LCM Formula to Find Lowest Common Multiple of 611,363,299,368,226

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.

611 x 363 x 299 x 368 x 226 = 5515377986976

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.

611 : 1, 13, 47, 611

363 : 1, 3, 11, 33, 121, 363

299 : 1, 13, 23, 299

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

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,363,299,368,226, is 1.

Now, the common factors can be found like this.

611:13x 47

363:3x 11x 11

299:13x 23

368:2x 2x 2x 2x 23

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 13x 23 = 598

Therefore, the value for common factors is 598.

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 = 5515377986976/(1x598)

LCM = 5515377986976/598

LCM = 9223040112

Thus, we can understand that the LCM of 611,363,299,368,226 is 9223040112.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 611, 363, 299, 368, 226

1. What is the LCM of 611, 363, 299, 368, 226?

Answer: LCM of 611, 363, 299, 368, 226 is 9223040112.

2. How to calculate the LCM of 611, 363, 299, 368, 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 611, 363, 299, 368, 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}.