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LCM of 802, 512, 471, 403, 413

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


Find the LCM of 802, 512, 471, 403, 413 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 802, 512, 471, 403, 413. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 802,512,471,403,413

Given numbers are 802,512,471,403,413

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

The LCM of 802,512,471,403,413 is 16094976188928.

Find LCM of 802,512,471,403,413 with Prime Factorization


2 802, 512, 471, 403, 413
401, 256, 471, 403, 413

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

2 x 401 x 256 x 471 x 403 x 413 = 16094976188928

Therefore, the lowest common multiple of 802,512,471,403,413 is 16094976188928.

LCM Formula to Find Lowest Common Multiple of 802,512,471,403,413

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.

802 x 512 x 471 x 403 x 413 = 32189952377856

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.

802 : 1, 2, 401, 802

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

471 : 1, 3, 157, 471

403 : 1, 13, 31, 403

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,512,471,403,413, is 1.

Now, the common factors can be found like this.

802:2x 401

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

471:3x 157

403:13x 31

413:7x 59

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

2 = 2

Therefore, the value for common factors is 2.

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 = 32189952377856/(1x2)

LCM = 32189952377856/2

LCM = 16094976188928

Thus, we can understand that the LCM of 802,512,471,403,413 is 16094976188928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 802, 512, 471, 403, 413

1. What is the LCM of 802, 512, 471, 403, 413?

Answer: LCM of 802, 512, 471, 403, 413 is 16094976188928.

2. How to calculate the LCM of 802, 512, 471, 403, 413?

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 802, 512, 471, 403, 413.

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}.