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LCM of 963, 204, 404

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


Find the LCM of 963, 204, 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 963, 204, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 963,204,404

Given numbers are 963,204,404

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

The LCM of 963,204,404 is 6613884.

Find LCM of 963,204,404 with Prime Factorization


2 963, 204, 404
2 963, 102, 202
3 963, 51, 101
321, 17, 101

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

2 x 2 x 3 x 321 x 17 x 101 = 6613884

Therefore, the lowest common multiple of 963,204,404 is 6613884.

LCM Formula to Find Lowest Common Multiple of 963,204,404

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.

963 x 204 x 404 = 79366608

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.

963 : 1, 3, 9, 107, 321, 963

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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 963,204,404, is 1.

Now, the common factors can be found like this.

963:3x 3x 107

204:2x 2x 3x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 79366608/(1x12)

LCM = 79366608/12

LCM = 6613884

Thus, we can understand that the LCM of 963,204,404 is 6613884.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 963, 204, 404

1. What is the LCM of 963, 204, 404?

Answer: LCM of 963, 204, 404 is 6613884.

2. How to calculate the LCM of 963, 204, 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 963, 204, 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}.