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.
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 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.
Here are some samples of LCM of two or more Numbers calculations.
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}.