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LCM of 882, 771, 570, 454, 858

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


Find the LCM of 882, 771, 570, 454, 858 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 882, 771, 570, 454, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 882,771,570,454,858

Given numbers are 882,771,570,454,858

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

The LCM of 882,771,570,454,858 is 699016147830.

Find LCM of 882,771,570,454,858 with Prime Factorization


2 882, 771, 570, 454, 858
3 441, 771, 285, 227, 429
147, 257, 95, 227, 143

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

2 x 3 x 147 x 257 x 95 x 227 x 143 = 699016147830

Therefore, the lowest common multiple of 882,771,570,454,858 is 699016147830.

LCM Formula to Find Lowest Common Multiple of 882,771,570,454,858

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.

882 x 771 x 570 x 454 x 858 = 150987487931280

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.

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

771 : 1, 3, 257, 771

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

454 : 1, 2, 227, 454

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,771,570,454,858, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

771:3x 257

570:2x 3x 5x 19

454:2x 227

858:2x 3x 11x 13

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

2x 2x 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 150987487931280/(1x216)

LCM = 150987487931280/216

LCM = 699016147830

Thus, we can understand that the LCM of 882,771,570,454,858 is 699016147830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 882, 771, 570, 454, 858

1. What is the LCM of 882, 771, 570, 454, 858?

Answer: LCM of 882, 771, 570, 454, 858 is 699016147830.

2. How to calculate the LCM of 882, 771, 570, 454, 858?

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 882, 771, 570, 454, 858.

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}.