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LCM of 471, 310, 296, 359, 827

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


Find the LCM of 471, 310, 296, 359, 827 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 471, 310, 296, 359, 827. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 471,310,296,359,827

Given numbers are 471,310,296,359,827

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

The LCM of 471,310,296,359,827 is 6415703345640.

Find LCM of 471,310,296,359,827 with Prime Factorization


2 471, 310, 296, 359, 827
471, 155, 148, 359, 827

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

2 x 471 x 155 x 148 x 359 x 827 = 6415703345640

Therefore, the lowest common multiple of 471,310,296,359,827 is 6415703345640.

LCM Formula to Find Lowest Common Multiple of 471,310,296,359,827

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.

471 x 310 x 296 x 359 x 827 = 12831406691280

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.

471 : 1, 3, 157, 471

310 : 1, 2, 5, 10, 31, 62, 155, 310

296 : 1, 2, 4, 8, 37, 74, 148, 296

359 : 1, 359

827 : 1, 827

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,310,296,359,827, is 1.

Now, the common factors can be found like this.

471:3x 157

310:2x 5x 31

296:2x 2x 2x 37

359:359

827:827

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

2 = 2

Therefore, the value for common factors is 2.

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 = 12831406691280/(1x2)

LCM = 12831406691280/2

LCM = 6415703345640

Thus, we can understand that the LCM of 471,310,296,359,827 is 6415703345640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 471, 310, 296, 359, 827

1. What is the LCM of 471, 310, 296, 359, 827?

Answer: LCM of 471, 310, 296, 359, 827 is 6415703345640.

2. How to calculate the LCM of 471, 310, 296, 359, 827?

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 471, 310, 296, 359, 827.

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}.