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LCM of 858, 969, 382, 214

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


Find the LCM of 858, 969, 382, 214 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, 969, 382, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,969,382,214

Given numbers are 858,969,382,214

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

The LCM of 858,969,382,214 is 5663787558.

Find LCM of 858,969,382,214 with Prime Factorization


2 858, 969, 382, 214
3 429, 969, 191, 107
143, 323, 191, 107

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

2 x 3 x 143 x 323 x 191 x 107 = 5663787558

Therefore, the lowest common multiple of 858,969,382,214 is 5663787558.

LCM Formula to Find Lowest Common Multiple of 858,969,382,214

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 969 x 382 x 214 = 67965450696

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

382 : 1, 2, 191, 382

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,969,382,214, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

969:3x 17x 19

382:2x 191

214:2x 107

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 3 = 12

Therefore, the value for common factors is 12.

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 = 67965450696/(1x12)

LCM = 67965450696/12

LCM = 5663787558

Thus, we can understand that the LCM of 858,969,382,214 is 5663787558.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 969, 382, 214

1. What is the LCM of 858, 969, 382, 214?

Answer: LCM of 858, 969, 382, 214 is 5663787558.

2. How to calculate the LCM of 858, 969, 382, 214?

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, 969, 382, 214.

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}.