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LCM of 873, 252, 587, 618, 411

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


Find the LCM of 873, 252, 587, 618, 411 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 873, 252, 587, 618, 411. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 873,252,587,618,411

Given numbers are 873,252,587,618,411

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

The LCM of 873,252,587,618,411 is 202473489708.

Find LCM of 873,252,587,618,411 with Prime Factorization


2 873, 252, 587, 618, 411
3 873, 126, 587, 309, 411
3 291, 42, 587, 103, 137
97, 14, 587, 103, 137

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

2 x 3 x 3 x 97 x 14 x 587 x 103 x 137 = 202473489708

Therefore, the lowest common multiple of 873,252,587,618,411 is 202473489708.

LCM Formula to Find Lowest Common Multiple of 873,252,587,618,411

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.

873 x 252 x 587 x 618 x 411 = 32800705332696

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.

873 : 1, 3, 9, 97, 291, 873

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

587 : 1, 587

618 : 1, 2, 3, 6, 103, 206, 309, 618

411 : 1, 3, 137, 411

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,252,587,618,411, is 1.

Now, the common factors can be found like this.

873:3x 3x 97

252:2x 2x 3x 3x 7

587:587

618:2x 3x 103

411:3x 137

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

2x 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 32800705332696/(1x162)

LCM = 32800705332696/162

LCM = 202473489708

Thus, we can understand that the LCM of 873,252,587,618,411 is 202473489708.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 873, 252, 587, 618, 411

1. What is the LCM of 873, 252, 587, 618, 411?

Answer: LCM of 873, 252, 587, 618, 411 is 202473489708.

2. How to calculate the LCM of 873, 252, 587, 618, 411?

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 873, 252, 587, 618, 411.

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}.