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LCM of 403, 428, 583, 428, 808

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


Find the LCM of 403, 428, 583, 428, 808 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 403, 428, 583, 428, 808. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 403,428,583,428,808

Given numbers are 403,428,583,428,808

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

The LCM of 403,428,583,428,808 is 20312750744.

Find LCM of 403,428,583,428,808 with Prime Factorization


2 403, 428, 583, 428, 808
2 403, 214, 583, 214, 404
107 403, 107, 583, 107, 202
403, 1, 583, 1, 202

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

2 x 2 x 107 x 403 x 1 x 583 x 1 x 202 = 20312750744

Therefore, the lowest common multiple of 403,428,583,428,808 is 20312750744.

LCM Formula to Find Lowest Common Multiple of 403,428,583,428,808

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.

403 x 428 x 583 x 428 x 808 = 34775429273728

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.

403 : 1, 13, 31, 403

428 : 1, 2, 4, 107, 214, 428

583 : 1, 11, 53, 583

428 : 1, 2, 4, 107, 214, 428

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,428,583,428,808, is 1.

Now, the common factors can be found like this.

403:13x 31

428:2x 2x 107

583:11x 53

428:2x 2x 107

808:2x 2x 2x 101

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

2x 2x 2x 2x 107 = 1712

Therefore, the value for common factors is 1712.

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 = 34775429273728/(1x1712)

LCM = 34775429273728/1712

LCM = 20312750744

Thus, we can understand that the LCM of 403,428,583,428,808 is 20312750744.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 403, 428, 583, 428, 808

1. What is the LCM of 403, 428, 583, 428, 808?

Answer: LCM of 403, 428, 583, 428, 808 is 20312750744.

2. How to calculate the LCM of 403, 428, 583, 428, 808?

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 403, 428, 583, 428, 808.

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}.