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LCM of 446, 353, 298, 813, 991

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


Find the LCM of 446, 353, 298, 813, 991 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 446, 353, 298, 813, 991. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 446,353,298,813,991

Given numbers are 446,353,298,813,991

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

The LCM of 446,353,298,813,991 is 18899922902946.

Find LCM of 446,353,298,813,991 with Prime Factorization


2 446, 353, 298, 813, 991
223, 353, 149, 813, 991

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

2 x 223 x 353 x 149 x 813 x 991 = 18899922902946

Therefore, the lowest common multiple of 446,353,298,813,991 is 18899922902946.

LCM Formula to Find Lowest Common Multiple of 446,353,298,813,991

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.

446 x 353 x 298 x 813 x 991 = 37799845805892

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.

446 : 1, 2, 223, 446

353 : 1, 353

298 : 1, 2, 149, 298

813 : 1, 3, 271, 813

991 : 1, 991

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,353,298,813,991, is 1.

Now, the common factors can be found like this.

446:2x 223

353:353

298:2x 149

813:3x 271

991:991

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 = 37799845805892/(1x2)

LCM = 37799845805892/2

LCM = 18899922902946

Thus, we can understand that the LCM of 446,353,298,813,991 is 18899922902946.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 446, 353, 298, 813, 991

1. What is the LCM of 446, 353, 298, 813, 991?

Answer: LCM of 446, 353, 298, 813, 991 is 18899922902946.

2. How to calculate the LCM of 446, 353, 298, 813, 991?

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 446, 353, 298, 813, 991.

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}.