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LCM of 766, 638, 393, 512, 569

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


Find the LCM of 766, 638, 393, 512, 569 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 766, 638, 393, 512, 569. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 766,638,393,512,569

Given numbers are 766,638,393,512,569

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

The LCM of 766,638,393,512,569 is 13988277355008.

Find LCM of 766,638,393,512,569 with Prime Factorization


2 766, 638, 393, 512, 569
383, 319, 393, 256, 569

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

2 x 383 x 319 x 393 x 256 x 569 = 13988277355008

Therefore, the lowest common multiple of 766,638,393,512,569 is 13988277355008.

LCM Formula to Find Lowest Common Multiple of 766,638,393,512,569

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.

766 x 638 x 393 x 512 x 569 = 55953109420032

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.

766 : 1, 2, 383, 766

638 : 1, 2, 11, 22, 29, 58, 319, 638

393 : 1, 3, 131, 393

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,638,393,512,569, is 1.

Now, the common factors can be found like this.

766:2x 383

638:2x 11x 29

393:3x 131

512:2x 2x 2x 2x 2x 2x 2x 2x 2

569:569

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 = 55953109420032/(1x4)

LCM = 55953109420032/4

LCM = 13988277355008

Thus, we can understand that the LCM of 766,638,393,512,569 is 13988277355008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 766, 638, 393, 512, 569

1. What is the LCM of 766, 638, 393, 512, 569?

Answer: LCM of 766, 638, 393, 512, 569 is 13988277355008.

2. How to calculate the LCM of 766, 638, 393, 512, 569?

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 766, 638, 393, 512, 569.

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}.