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LCM of 5794, 6858

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


Find the LCM of 5794, 6858 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 5794, 6858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5794,6858

Given numbers are 5794,6858

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

The LCM of 5794,6858 is 19867626.

Find LCM of 5794,6858 with Prime Factorization


2 5794, 6858
2897, 3429

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

2 x 2897 x 3429 = 19867626

Therefore, the lowest common multiple of 5794,6858 is 19867626.

LCM Formula to Find Lowest Common Multiple of 5794,6858

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.

5794 x 6858 = 39735252

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.

5794 : 1, 2, 2897, 5794

6858 : 1, 2, 3, 6, 9, 18, 27, 54, 127, 254, 381, 762, 1143, 2286, 3429, 6858

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5794,6858, is 2.

Now, the common factors can be found like this.

5794:2x 2897

6858:2x 3x 3x 3x 127

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

= 1

Therefore, the value for common factors is 1.

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 = 39735252/(2x1)

LCM = 39735252/2

LCM = 19867626

Thus, we can understand that the LCM of 5794,6858 is 19867626.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5794, 6858

1. What is the LCM of 5794, 6858?

Answer: LCM of 5794, 6858 is 19867626.

2. How to calculate the LCM of 5794, 6858?

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 5794, 6858.

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}.