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LCM of 113, 723, 723, 999

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


Find the LCM of 113, 723, 723, 999 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, 723, 723, 999. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 113,723,723,999

Given numbers are 113,723,723,999

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

The LCM of 113,723,723,999 is 27205767.

Find LCM of 113,723,723,999 with Prime Factorization


3 113, 723, 723, 999
241 113, 241, 241, 333
113, 1, 1, 333

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

3 x 241 x 113 x 1 x 1 x 333 = 27205767

Therefore, the lowest common multiple of 113,723,723,999 is 27205767.

LCM Formula to Find Lowest Common Multiple of 113,723,723,999

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 723 x 723 x 999 = 59009308623

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

723 : 1, 3, 241, 723

723 : 1, 3, 241, 723

999 : 1, 3, 9, 27, 37, 111, 333, 999

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,723,723,999, is 1.

Now, the common factors can be found like this.

113:113

723:3x 241

723:3x 241

999:3x 3x 3x 37

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

3x 3x 241 = 2169

Therefore, the value for common factors is 2169.

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 = 59009308623/(1x2169)

LCM = 59009308623/2169

LCM = 27205767

Thus, we can understand that the LCM of 113,723,723,999 is 27205767.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 113, 723, 723, 999

1. What is the LCM of 113, 723, 723, 999?

Answer: LCM of 113, 723, 723, 999 is 27205767.

2. How to calculate the LCM of 113, 723, 723, 999?

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, 723, 723, 999.

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}.