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LCM of 858, 573, 561, 269, 814

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


Find the LCM of 858, 573, 561, 269, 814 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, 573, 561, 269, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,573,561,269,814

Given numbers are 858,573,561,269,814

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

The LCM of 858,573,561,269,814 is 27728321478.

Find LCM of 858,573,561,269,814 with Prime Factorization


2 858, 573, 561, 269, 814
3 429, 573, 561, 269, 407
11 143, 191, 187, 269, 407
13, 191, 17, 269, 37

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

2 x 3 x 11 x 13 x 191 x 17 x 269 x 37 = 27728321478

Therefore, the lowest common multiple of 858,573,561,269,814 is 27728321478.

LCM Formula to Find Lowest Common Multiple of 858,573,561,269,814

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 573 x 561 x 269 x 814 = 60392284179084

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

573 : 1, 3, 191, 573

561 : 1, 3, 11, 17, 33, 51, 187, 561

269 : 1, 269

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,573,561,269,814, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

573:3x 191

561:3x 11x 17

269:269

814:2x 11x 37

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

2x 3x 3x 11x 11 = 2178

Therefore, the value for common factors is 2178.

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 = 60392284179084/(1x2178)

LCM = 60392284179084/2178

LCM = 27728321478

Thus, we can understand that the LCM of 858,573,561,269,814 is 27728321478.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 573, 561, 269, 814

1. What is the LCM of 858, 573, 561, 269, 814?

Answer: LCM of 858, 573, 561, 269, 814 is 27728321478.

2. How to calculate the LCM of 858, 573, 561, 269, 814?

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, 573, 561, 269, 814.

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}.