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LCM of 480, 451, 392, 394

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


Find the LCM of 480, 451, 392, 394 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 480, 451, 392, 394. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 480,451,392,394

Given numbers are 480,451,392,394

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

The LCM of 480,451,392,394 is 2089681440.

Find LCM of 480,451,392,394 with Prime Factorization


2 480, 451, 392, 394
2 240, 451, 196, 197
2 120, 451, 98, 197
60, 451, 49, 197

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

2 x 2 x 2 x 60 x 451 x 49 x 197 = 2089681440

Therefore, the lowest common multiple of 480,451,392,394 is 2089681440.

LCM Formula to Find Lowest Common Multiple of 480,451,392,394

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.

480 x 451 x 392 x 394 = 33434903040

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.

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

451 : 1, 11, 41, 451

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,451,392,394, is 1.

Now, the common factors can be found like this.

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

451:11x 41

392:2x 2x 2x 7x 7

394:2x 197

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 2 = 16

Therefore, the value for common factors is 16.

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 = 33434903040/(1x16)

LCM = 33434903040/16

LCM = 2089681440

Thus, we can understand that the LCM of 480,451,392,394 is 2089681440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 480, 451, 392, 394

1. What is the LCM of 480, 451, 392, 394?

Answer: LCM of 480, 451, 392, 394 is 2089681440.

2. How to calculate the LCM of 480, 451, 392, 394?

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 480, 451, 392, 394.

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}.