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LCM of 113, 243, 466, 892

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


Find the LCM of 113, 243, 466, 892 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 113, 243, 466, 892. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 113,243,466,892

Given numbers are 113,243,466,892

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

The LCM of 113,243,466,892 is 5706968724.

Find LCM of 113,243,466,892 with Prime Factorization


2 113, 243, 466, 892
113, 243, 233, 446

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

2 x 113 x 243 x 233 x 446 = 5706968724

Therefore, the lowest common multiple of 113,243,466,892 is 5706968724.

LCM Formula to Find Lowest Common Multiple of 113,243,466,892

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.

113 x 243 x 466 x 892 = 11413937448

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.

113 : 1, 113

243 : 1, 3, 9, 27, 81, 243

466 : 1, 2, 233, 466

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,243,466,892, is 1.

Now, the common factors can be found like this.

113:113

243:3x 3x 3x 3x 3

466:2x 233

892:2x 2x 223

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 = 11413937448/(1x2)

LCM = 11413937448/2

LCM = 5706968724

Thus, we can understand that the LCM of 113,243,466,892 is 5706968724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 113, 243, 466, 892

1. What is the LCM of 113, 243, 466, 892?

Answer: LCM of 113, 243, 466, 892 is 5706968724.

2. How to calculate the LCM of 113, 243, 466, 892?

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 113, 243, 466, 892.

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}.