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LCM of 411, 821, 821, 489

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


Find the LCM of 411, 821, 821, 489 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 411, 821, 821, 489. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 411,821,821,489

Given numbers are 411,821,821,489

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

The LCM of 411,821,821,489 is 55001253.

Find LCM of 411,821,821,489 with Prime Factorization


3 411, 821, 821, 489
821 137, 821, 821, 163
137, 1, 1, 163

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

3 x 821 x 137 x 1 x 1 x 163 = 55001253

Therefore, the lowest common multiple of 411,821,821,489 is 55001253.

LCM Formula to Find Lowest Common Multiple of 411,821,821,489

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.

411 x 821 x 821 x 489 = 135468086139

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.

411 : 1, 3, 137, 411

821 : 1, 821

821 : 1, 821

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,821,821,489, is 1.

Now, the common factors can be found like this.

411:3x 137

821:821

821:821

489:3x 163

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

3x 821 = 2463

Therefore, the value for common factors is 2463.

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 = 135468086139/(1x2463)

LCM = 135468086139/2463

LCM = 55001253

Thus, we can understand that the LCM of 411,821,821,489 is 55001253.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 411, 821, 821, 489

1. What is the LCM of 411, 821, 821, 489?

Answer: LCM of 411, 821, 821, 489 is 55001253.

2. How to calculate the LCM of 411, 821, 821, 489?

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 411, 821, 821, 489.

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}.