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LCM of 477, 646, 382, 419, 728

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


Find the LCM of 477, 646, 382, 419, 728 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 477, 646, 382, 419, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 477,646,382,419,728

Given numbers are 477,646,382,419,728

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

The LCM of 477,646,382,419,728 is 8976347786952.

Find LCM of 477,646,382,419,728 with Prime Factorization


2 477, 646, 382, 419, 728
477, 323, 191, 419, 364

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

2 x 477 x 323 x 191 x 419 x 364 = 8976347786952

Therefore, the lowest common multiple of 477,646,382,419,728 is 8976347786952.

LCM Formula to Find Lowest Common Multiple of 477,646,382,419,728

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.

477 x 646 x 382 x 419 x 728 = 35905391147808

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.

477 : 1, 3, 9, 53, 159, 477

646 : 1, 2, 17, 19, 34, 38, 323, 646

382 : 1, 2, 191, 382

419 : 1, 419

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,646,382,419,728, is 1.

Now, the common factors can be found like this.

477:3x 3x 53

646:2x 17x 19

382:2x 191

419:419

728:2x 2x 2x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 35905391147808/(1x4)

LCM = 35905391147808/4

LCM = 8976347786952

Thus, we can understand that the LCM of 477,646,382,419,728 is 8976347786952.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 477, 646, 382, 419, 728

1. What is the LCM of 477, 646, 382, 419, 728?

Answer: LCM of 477, 646, 382, 419, 728 is 8976347786952.

2. How to calculate the LCM of 477, 646, 382, 419, 728?

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 477, 646, 382, 419, 728.

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}.