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LCM of 808, 403, 871, 202, 485

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


Find the LCM of 808, 403, 871, 202, 485 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 808, 403, 871, 202, 485. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,403,871,202,485

Given numbers are 808,403,871,202,485

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

The LCM of 808,403,871,202,485 is 10581151880.

Find LCM of 808,403,871,202,485 with Prime Factorization


2 808, 403, 871, 202, 485
13 404, 403, 871, 101, 485
101 404, 31, 67, 101, 485
4, 31, 67, 1, 485

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

2 x 13 x 101 x 4 x 31 x 67 x 1 x 485 = 10581151880

Therefore, the lowest common multiple of 808,403,871,202,485 is 10581151880.

LCM Formula to Find Lowest Common Multiple of 808,403,871,202,485

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.

808 x 403 x 871 x 202 x 485 = 27786104836880

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

403 : 1, 13, 31, 403

871 : 1, 13, 67, 871

202 : 1, 2, 101, 202

485 : 1, 5, 97, 485

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,403,871,202,485, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

403:13x 31

871:13x 67

202:2x 101

485:5x 97

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

2x 13x 101 = 2626

Therefore, the value for common factors is 2626.

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 = 27786104836880/(1x2626)

LCM = 27786104836880/2626

LCM = 10581151880

Thus, we can understand that the LCM of 808,403,871,202,485 is 10581151880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 403, 871, 202, 485

1. What is the LCM of 808, 403, 871, 202, 485?

Answer: LCM of 808, 403, 871, 202, 485 is 10581151880.

2. How to calculate the LCM of 808, 403, 871, 202, 485?

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 808, 403, 871, 202, 485.

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}.