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LCM of 637, 394, 864, 538, 935

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


Find the LCM of 637, 394, 864, 538, 935 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 637, 394, 864, 538, 935. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 637,394,864,538,935

Given numbers are 637,394,864,538,935

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

The LCM of 637,394,864,538,935 is 27269884081440.

Find LCM of 637,394,864,538,935 with Prime Factorization


2 637, 394, 864, 538, 935
637, 197, 432, 269, 935

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

2 x 637 x 197 x 432 x 269 x 935 = 27269884081440

Therefore, the lowest common multiple of 637,394,864,538,935 is 27269884081440.

LCM Formula to Find Lowest Common Multiple of 637,394,864,538,935

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.

637 x 394 x 864 x 538 x 935 = 109079536325760

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.

637 : 1, 7, 13, 49, 91, 637

394 : 1, 2, 197, 394

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

538 : 1, 2, 269, 538

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,394,864,538,935, is 1.

Now, the common factors can be found like this.

637:7x 7x 13

394:2x 197

864:2x 2x 2x 2x 2x 3x 3x 3

538:2x 269

935:5x 11x 17

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 = 109079536325760/(1x4)

LCM = 109079536325760/4

LCM = 27269884081440

Thus, we can understand that the LCM of 637,394,864,538,935 is 27269884081440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 637, 394, 864, 538, 935

1. What is the LCM of 637, 394, 864, 538, 935?

Answer: LCM of 637, 394, 864, 538, 935 is 27269884081440.

2. How to calculate the LCM of 637, 394, 864, 538, 935?

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 637, 394, 864, 538, 935.

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}.