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LCM of 321, 916, 484, 480

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


Find the LCM of 321, 916, 484, 480 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 321, 916, 484, 480. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 321,916,484,480

Given numbers are 321,916,484,480

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

The LCM of 321,916,484,480 is 1423134240.

Find LCM of 321,916,484,480 with Prime Factorization


2 321, 916, 484, 480
2 321, 458, 242, 240
3 321, 229, 121, 120
107, 229, 121, 40

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

2 x 2 x 3 x 107 x 229 x 121 x 40 = 1423134240

Therefore, the lowest common multiple of 321,916,484,480 is 1423134240.

LCM Formula to Find Lowest Common Multiple of 321,916,484,480

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.

321 x 916 x 484 x 480 = 68310443520

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.

321 : 1, 3, 107, 321

916 : 1, 2, 4, 229, 458, 916

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,916,484,480, is 1.

Now, the common factors can be found like this.

321:3x 107

916:2x 2x 229

484:2x 2x 11x 11

480:2x 2x 2x 2x 2x 3x 5

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 = 68310443520/(1x48)

LCM = 68310443520/48

LCM = 1423134240

Thus, we can understand that the LCM of 321,916,484,480 is 1423134240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 321, 916, 484, 480

1. What is the LCM of 321, 916, 484, 480?

Answer: LCM of 321, 916, 484, 480 is 1423134240.

2. How to calculate the LCM of 321, 916, 484, 480?

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 321, 916, 484, 480.

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}.