Find the LCM of 233, 343, 838, 233, 713 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 233, 343, 838, 233, 713. So, keep reading to learn more.
Given numbers are 233,343,838,233,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,343,838,233,713 is 47751122986.
Find LCM of 233,343,838,233,713 with Prime Factorization
233 | 233, 343, 838, 233, 713 |
1, 343, 838, 1, 713 |
Multiply the prime numbers at the bottom and the left side.
233 x 1 x 343 x 838 x 1 x 713 = 47751122986
Therefore, the lowest common multiple of 233,343,838,233,713 is 47751122986.
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.
233 x 343 x 838 x 233 x 713 = 11126011655738
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.
233 : 1, 233
343 : 1, 7, 49, 343
838 : 1, 2, 419, 838
233 : 1, 233
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,343,838,233,713, is 1.
Now, the common factors can be found like this.
233:233
343:7x 7x 7
838:2x 419
233:233
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
233 = 233
Therefore, the value for common factors is 233.
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 = 11126011655738/(1x233)
LCM = 11126011655738/233
LCM = 47751122986
Thus, we can understand that the LCM of 233,343,838,233,713 is 47751122986.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 233, 343, 838, 233, 713?
Answer: LCM of 233, 343, 838, 233, 713 is 47751122986.
2. How to calculate the LCM of 233, 343, 838, 233, 713?
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 233, 343, 838, 233, 713.
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}.