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LCM of 827, 298, 674, 193

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


Find the LCM of 827, 298, 674, 193 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 827, 298, 674, 193. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 827,298,674,193

Given numbers are 827,298,674,193

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

The LCM of 827,298,674,193 is 16029094286.

Find LCM of 827,298,674,193 with Prime Factorization


2 827, 298, 674, 193
827, 149, 337, 193

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

2 x 827 x 149 x 337 x 193 = 16029094286

Therefore, the lowest common multiple of 827,298,674,193 is 16029094286.

LCM Formula to Find Lowest Common Multiple of 827,298,674,193

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.

827 x 298 x 674 x 193 = 32058188572

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.

827 : 1, 827

298 : 1, 2, 149, 298

674 : 1, 2, 337, 674

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,298,674,193, is 1.

Now, the common factors can be found like this.

827:827

298:2x 149

674:2x 337

193:193

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

2 = 2

Therefore, the value for common factors is 2.

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 = 32058188572/(1x2)

LCM = 32058188572/2

LCM = 16029094286

Thus, we can understand that the LCM of 827,298,674,193 is 16029094286.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 827, 298, 674, 193

1. What is the LCM of 827, 298, 674, 193?

Answer: LCM of 827, 298, 674, 193 is 16029094286.

2. How to calculate the LCM of 827, 298, 674, 193?

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 827, 298, 674, 193.

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}.