Find the LCM of 670, 218, 125, 935, 235 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 670, 218, 125, 935, 235. So, keep reading to learn more.
Given numbers are 670,218,125,935,235
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,218,125,935,235 is 16046516750.
Find LCM of 670,218,125,935,235 with Prime Factorization
2 | 670, 218, 125, 935, 235 |
5 | 335, 109, 125, 935, 235 |
67, 109, 25, 187, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 67 x 109 x 25 x 187 x 47 = 16046516750
Therefore, the lowest common multiple of 670,218,125,935,235 is 16046516750.
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.
670 x 218 x 125 x 935 x 235 = 4011629187500
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
218 : 1, 2, 109, 218
125 : 1, 5, 25, 125
935 : 1, 5, 11, 17, 55, 85, 187, 935
235 : 1, 5, 47, 235
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,218,125,935,235, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
218:2x 109
125:5x 5x 5
935:5x 11x 17
235:5x 47
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 5x 5 = 250
Therefore, the value for common factors is 250.
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 = 4011629187500/(1x250)
LCM = 4011629187500/250
LCM = 16046516750
Thus, we can understand that the LCM of 670,218,125,935,235 is 16046516750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 670, 218, 125, 935, 235?
Answer: LCM of 670, 218, 125, 935, 235 is 16046516750.
2. How to calculate the LCM of 670, 218, 125, 935, 235?
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 670, 218, 125, 935, 235.
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}.