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LCM of 858, 455, 331, 997

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


Find the LCM of 858, 455, 331, 997 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 858, 455, 331, 997. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,455,331,997

Given numbers are 858,455,331,997

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

The LCM of 858,455,331,997 is 9910110210.

Find LCM of 858,455,331,997 with Prime Factorization


13 858, 455, 331, 997
66, 35, 331, 997

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

13 x 66 x 35 x 331 x 997 = 9910110210

Therefore, the lowest common multiple of 858,455,331,997 is 9910110210.

LCM Formula to Find Lowest Common Multiple of 858,455,331,997

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.

858 x 455 x 331 x 997 = 128831432730

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.

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

455 : 1, 5, 7, 13, 35, 65, 91, 455

331 : 1, 331

997 : 1, 997

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,455,331,997, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

455:5x 7x 13

331:331

997:997

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 = 128831432730/(1x13)

LCM = 128831432730/13

LCM = 9910110210

Thus, we can understand that the LCM of 858,455,331,997 is 9910110210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 455, 331, 997

1. What is the LCM of 858, 455, 331, 997?

Answer: LCM of 858, 455, 331, 997 is 9910110210.

2. How to calculate the LCM of 858, 455, 331, 997?

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 858, 455, 331, 997.

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}.