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LCM of 873, 679, 193, 194, 668

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


Find the LCM of 873, 679, 193, 194, 668 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 873, 679, 193, 194, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 873,679,193,194,668

Given numbers are 873,679,193,194,668

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

The LCM of 873,679,193,194,668 is 787854564.

Find LCM of 873,679,193,194,668 with Prime Factorization


2 873, 679, 193, 194, 668
97 873, 679, 193, 97, 334
9, 7, 193, 1, 334

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

2 x 97 x 9 x 7 x 193 x 1 x 334 = 787854564

Therefore, the lowest common multiple of 873,679,193,194,668 is 787854564.

LCM Formula to Find Lowest Common Multiple of 873,679,193,194,668

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.

873 x 679 x 193 x 194 x 668 = 14825847185352

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.

873 : 1, 3, 9, 97, 291, 873

679 : 1, 7, 97, 679

193 : 1, 193

194 : 1, 2, 97, 194

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,679,193,194,668, is 1.

Now, the common factors can be found like this.

873:3x 3x 97

679:7x 97

193:193

194:2x 97

668:2x 2x 167

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

2x 97x 97 = 18818

Therefore, the value for common factors is 18818.

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 = 14825847185352/(1x18818)

LCM = 14825847185352/18818

LCM = 787854564

Thus, we can understand that the LCM of 873,679,193,194,668 is 787854564.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 873, 679, 193, 194, 668

1. What is the LCM of 873, 679, 193, 194, 668?

Answer: LCM of 873, 679, 193, 194, 668 is 787854564.

2. How to calculate the LCM of 873, 679, 193, 194, 668?

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 873, 679, 193, 194, 668.

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}.