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LCM of 404, 602, 858, 821, 829

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


Find the LCM of 404, 602, 858, 821, 829 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 404, 602, 858, 821, 829. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 404,602,858,821,829

Given numbers are 404,602,858,821,829

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

The LCM of 404,602,858,821,829 is 35506089262644.

Find LCM of 404,602,858,821,829 with Prime Factorization


2 404, 602, 858, 821, 829
202, 301, 429, 821, 829

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

2 x 202 x 301 x 429 x 821 x 829 = 35506089262644

Therefore, the lowest common multiple of 404,602,858,821,829 is 35506089262644.

LCM Formula to Find Lowest Common Multiple of 404,602,858,821,829

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.

404 x 602 x 858 x 821 x 829 = 142024357050576

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.

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

602 : 1, 2, 7, 14, 43, 86, 301, 602

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

821 : 1, 821

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,602,858,821,829, is 1.

Now, the common factors can be found like this.

404:2x 2x 101

602:2x 7x 43

858:2x 3x 11x 13

821:821

829:829

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 = 142024357050576/(1x4)

LCM = 142024357050576/4

LCM = 35506089262644

Thus, we can understand that the LCM of 404,602,858,821,829 is 35506089262644.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 404, 602, 858, 821, 829

1. What is the LCM of 404, 602, 858, 821, 829?

Answer: LCM of 404, 602, 858, 821, 829 is 35506089262644.

2. How to calculate the LCM of 404, 602, 858, 821, 829?

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 404, 602, 858, 821, 829.

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}.