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LCM of 208, 631, 785, 766, 394

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


Find the LCM of 208, 631, 785, 766, 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 208, 631, 785, 766, 394. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 208,631,785,766,394

Given numbers are 208,631,785,766,394

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

The LCM of 208,631,785,766,394 is 7773692385680.

Find LCM of 208,631,785,766,394 with Prime Factorization


2 208, 631, 785, 766, 394
104, 631, 785, 383, 197

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

2 x 104 x 631 x 785 x 383 x 197 = 7773692385680

Therefore, the lowest common multiple of 208,631,785,766,394 is 7773692385680.

LCM Formula to Find Lowest Common Multiple of 208,631,785,766,394

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.

208 x 631 x 785 x 766 x 394 = 31094769542720

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

631 : 1, 631

785 : 1, 5, 157, 785

766 : 1, 2, 383, 766

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,631,785,766,394, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

631:631

785:5x 157

766:2x 383

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 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 = 31094769542720/(1x4)

LCM = 31094769542720/4

LCM = 7773692385680

Thus, we can understand that the LCM of 208,631,785,766,394 is 7773692385680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 208, 631, 785, 766, 394

1. What is the LCM of 208, 631, 785, 766, 394?

Answer: LCM of 208, 631, 785, 766, 394 is 7773692385680.

2. How to calculate the LCM of 208, 631, 785, 766, 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 208, 631, 785, 766, 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}.