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LCM of 873, 861, 645, 590, 420

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


Find the LCM of 873, 861, 645, 590, 420 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, 861, 645, 590, 420. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 873,861,645,590,420

Given numbers are 873,861,645,590,420

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

The LCM of 873,861,645,590,420 is 12712957740.

Find LCM of 873,861,645,590,420 with Prime Factorization


2 873, 861, 645, 590, 420
3 873, 861, 645, 295, 210
5 291, 287, 215, 295, 70
7 291, 287, 43, 59, 14
291, 41, 43, 59, 2

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

2 x 3 x 5 x 7 x 291 x 41 x 43 x 59 x 2 = 12712957740

Therefore, the lowest common multiple of 873,861,645,590,420 is 12712957740.

LCM Formula to Find Lowest Common Multiple of 873,861,645,590,420

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 861 x 645 x 590 x 420 = 120137450643000

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

861 : 1, 3, 7, 21, 41, 123, 287, 861

645 : 1, 3, 5, 15, 43, 129, 215, 645

590 : 1, 2, 5, 10, 59, 118, 295, 590

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,861,645,590,420, is 1.

Now, the common factors can be found like this.

873:3x 3x 97

861:3x 7x 41

645:3x 5x 43

590:2x 5x 59

420:2x 2x 3x 5x 7

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 5x 5x 7 = 9450

Therefore, the value for common factors is 9450.

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 = 120137450643000/(1x9450)

LCM = 120137450643000/9450

LCM = 12712957740

Thus, we can understand that the LCM of 873,861,645,590,420 is 12712957740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 873, 861, 645, 590, 420

1. What is the LCM of 873, 861, 645, 590, 420?

Answer: LCM of 873, 861, 645, 590, 420 is 12712957740.

2. How to calculate the LCM of 873, 861, 645, 590, 420?

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, 861, 645, 590, 420.

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}.