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LCM of 363, 894, 297, 891, 296

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


Find the LCM of 363, 894, 297, 891, 296 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 363, 894, 297, 891, 296. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,894,297,891,296

Given numbers are 363,894,297,891,296

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

The LCM of 363,894,297,891,296 is 432263304.

Find LCM of 363,894,297,891,296 with Prime Factorization


2 363, 894, 297, 891, 296
3 363, 447, 297, 891, 148
3 121, 149, 99, 297, 148
3 121, 149, 33, 99, 148
11 121, 149, 11, 33, 148
1, 149, 11, 3, 148

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

2 x 3 x 3 x 3 x 11 x 1 x 149 x 11 x 3 x 148 = 432263304

Therefore, the lowest common multiple of 363,894,297,891,296 is 432263304.

LCM Formula to Find Lowest Common Multiple of 363,894,297,891,296

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.

363 x 894 x 297 x 891 x 296 = 25419675855024

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.

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

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

297 : 1, 3, 9, 11, 27, 33, 99, 297

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,894,297,891,296, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

894:2x 3x 149

297:3x 3x 3x 11

891:3x 3x 3x 3x 11

296:2x 2x 2x 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 3x 3x 3x 3x 3x 11x 11 = 58806

Therefore, the value for common factors is 58806.

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 = 25419675855024/(1x58806)

LCM = 25419675855024/58806

LCM = 432263304

Thus, we can understand that the LCM of 363,894,297,891,296 is 432263304.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 894, 297, 891, 296

1. What is the LCM of 363, 894, 297, 891, 296?

Answer: LCM of 363, 894, 297, 891, 296 is 432263304.

2. How to calculate the LCM of 363, 894, 297, 891, 296?

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 363, 894, 297, 891, 296.

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}.