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LCM of 821, 606, 404, 829

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


Find the LCM of 821, 606, 404, 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 821, 606, 404, 829. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 821,606,404,829

Given numbers are 821,606,404,829

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

The LCM of 821,606,404,829 is 824898108.

Find LCM of 821,606,404,829 with Prime Factorization


2 821, 606, 404, 829
101 821, 303, 202, 829
821, 3, 2, 829

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

2 x 101 x 821 x 3 x 2 x 829 = 824898108

Therefore, the lowest common multiple of 821,606,404,829 is 824898108.

LCM Formula to Find Lowest Common Multiple of 821,606,404,829

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.

821 x 606 x 404 x 829 = 166629417816

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.

821 : 1, 821

606 : 1, 2, 3, 6, 101, 202, 303, 606

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

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,606,404,829, is 1.

Now, the common factors can be found like this.

821:821

606:2x 3x 101

404:2x 2x 101

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 101 = 202

Therefore, the value for common factors is 202.

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 = 166629417816/(1x202)

LCM = 166629417816/202

LCM = 824898108

Thus, we can understand that the LCM of 821,606,404,829 is 824898108.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 821, 606, 404, 829

1. What is the LCM of 821, 606, 404, 829?

Answer: LCM of 821, 606, 404, 829 is 824898108.

2. How to calculate the LCM of 821, 606, 404, 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 821, 606, 404, 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}.