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LCM of 845, 728, 871

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


Find the LCM of 845, 728, 871 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 845, 728, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 845,728,871

Given numbers are 845,728,871

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

The LCM of 845,728,871 is 3170440.

Find LCM of 845,728,871 with Prime Factorization


13 845, 728, 871
65, 56, 67

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

13 x 65 x 56 x 67 = 3170440

Therefore, the lowest common multiple of 845,728,871 is 3170440.

LCM Formula to Find Lowest Common Multiple of 845,728,871

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.

845 x 728 x 871 = 535804360

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.

845 : 1, 5, 13, 65, 169, 845

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

871 : 1, 13, 67, 871

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,728,871, is 13.

Now, the common factors can be found like this.

845:5x 13x 13

728:2x 2x 2x 7x 13

871:13x 67

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

13 = 13

Therefore, the value for common factors is 13.

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 = 535804360/(13x13)

LCM = 535804360/169

LCM = 3170440

Thus, we can understand that the LCM of 845,728,871 is 3170440.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 845, 728, 871

1. What is the LCM of 845, 728, 871?

Answer: LCM of 845, 728, 871 is 3170440.

2. How to calculate the LCM of 845, 728, 871?

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 845, 728, 871.

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}.