Find the LCM of 125, 843, 670, 268, 433 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 125, 843, 670, 268, 433. So, keep reading to learn more.
Given numbers are 125,843,670,268,433
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,843,670,268,433 is 12228136500.
Find LCM of 125,843,670,268,433 with Prime Factorization
2 | 125, 843, 670, 268, 433 |
5 | 125, 843, 335, 134, 433 |
67 | 25, 843, 67, 134, 433 |
25, 843, 1, 2, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 67 x 25 x 843 x 1 x 2 x 433 = 12228136500
Therefore, the lowest common multiple of 125,843,670,268,433 is 12228136500.
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.
125 x 843 x 670 x 268 x 433 = 8192851455000
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.
125 : 1, 5, 25, 125
843 : 1, 3, 281, 843
670 : 1, 2, 5, 10, 67, 134, 335, 670
268 : 1, 2, 4, 67, 134, 268
433 : 1, 433
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,843,670,268,433, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
843:3x 281
670:2x 5x 67
268:2x 2x 67
433:433
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 67 = 670
Therefore, the value for common factors is 670.
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 = 8192851455000/(1x670)
LCM = 8192851455000/670
LCM = 12228136500
Thus, we can understand that the LCM of 125,843,670,268,433 is 12228136500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 125, 843, 670, 268, 433?
Answer: LCM of 125, 843, 670, 268, 433 is 12228136500.
2. How to calculate the LCM of 125, 843, 670, 268, 433?
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 125, 843, 670, 268, 433.
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}.