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LCM of 872, 884, 449, 953, 305

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


Find the LCM of 872, 884, 449, 953, 305 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 872, 884, 449, 953, 305. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 872,884,449,953,305

Given numbers are 872,884,449,953,305

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

The LCM of 872,884,449,953,305 is 25150570432520.

Find LCM of 872,884,449,953,305 with Prime Factorization


2 872, 884, 449, 953, 305
2 436, 442, 449, 953, 305
218, 221, 449, 953, 305

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

2 x 2 x 218 x 221 x 449 x 953 x 305 = 25150570432520

Therefore, the lowest common multiple of 872,884,449,953,305 is 25150570432520.

LCM Formula to Find Lowest Common Multiple of 872,884,449,953,305

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.

872 x 884 x 449 x 953 x 305 = 100602281730080

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

449 : 1, 449

953 : 1, 953

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,884,449,953,305, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

884:2x 2x 13x 17

449:449

953:953

305:5x 61

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 100602281730080/(1x4)

LCM = 100602281730080/4

LCM = 25150570432520

Thus, we can understand that the LCM of 872,884,449,953,305 is 25150570432520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 872, 884, 449, 953, 305

1. What is the LCM of 872, 884, 449, 953, 305?

Answer: LCM of 872, 884, 449, 953, 305 is 25150570432520.

2. How to calculate the LCM of 872, 884, 449, 953, 305?

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 872, 884, 449, 953, 305.

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}.