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LCM of 363, 908, 768, 404

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


Find the LCM of 363, 908, 768, 404 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, 908, 768, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,908,768,404

Given numbers are 363,908,768,404

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

The LCM of 363,908,768,404 is 2130560256.

Find LCM of 363,908,768,404 with Prime Factorization


2 363, 908, 768, 404
2 363, 454, 384, 202
3 363, 227, 192, 101
121, 227, 64, 101

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

2 x 2 x 3 x 121 x 227 x 64 x 101 = 2130560256

Therefore, the lowest common multiple of 363,908,768,404 is 2130560256.

LCM Formula to Find Lowest Common Multiple of 363,908,768,404

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 908 x 768 x 404 = 102266892288

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

908 : 1, 2, 4, 227, 454, 908

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,908,768,404, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

908:2x 2x 227

768:2x 2x 2x 2x 2x 2x 2x 2x 3

404:2x 2x 101

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 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 102266892288/(1x48)

LCM = 102266892288/48

LCM = 2130560256

Thus, we can understand that the LCM of 363,908,768,404 is 2130560256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 908, 768, 404

1. What is the LCM of 363, 908, 768, 404?

Answer: LCM of 363, 908, 768, 404 is 2130560256.

2. How to calculate the LCM of 363, 908, 768, 404?

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, 908, 768, 404.

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}.