Find the LCM of 205, 383, 215, 946 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 205, 383, 215, 946. So, keep reading to learn more.
Given numbers are 205,383,215,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,383,215,946 is 74275190.
Find LCM of 205,383,215,946 with Prime Factorization
5 | 205, 383, 215, 946 |
43 | 41, 383, 43, 946 |
41, 383, 1, 22 |
Multiply the prime numbers at the bottom and the left side.
5 x 43 x 41 x 383 x 1 x 22 = 74275190
Therefore, the lowest common multiple of 205,383,215,946 is 74275190.
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.
205 x 383 x 215 x 946 = 15969165850
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.
205 : 1, 5, 41, 205
383 : 1, 383
215 : 1, 5, 43, 215
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,383,215,946, is 1.
Now, the common factors can be found like this.
205:5x 41
383:383
215:5x 43
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 43 = 215
Therefore, the value for common factors is 215.
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 = 15969165850/(1x215)
LCM = 15969165850/215
LCM = 74275190
Thus, we can understand that the LCM of 205,383,215,946 is 74275190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 205, 383, 215, 946?
Answer: LCM of 205, 383, 215, 946 is 74275190.
2. How to calculate the LCM of 205, 383, 215, 946?
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 205, 383, 215, 946.
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}.