Find the LCM of 220, 393, 913, 764, 214 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 220, 393, 913, 764, 214. So, keep reading to learn more.
Given numbers are 220,393,913,764,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,393,913,764,214 is 146659590660.
Find LCM of 220,393,913,764,214 with Prime Factorization
2 | 220, 393, 913, 764, 214 |
2 | 110, 393, 913, 382, 107 |
11 | 55, 393, 913, 191, 107 |
5, 393, 83, 191, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 5 x 393 x 83 x 191 x 107 = 146659590660
Therefore, the lowest common multiple of 220,393,913,764,214 is 146659590660.
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.
220 x 393 x 913 x 764 x 214 = 12906043978080
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
393 : 1, 3, 131, 393
913 : 1, 11, 83, 913
764 : 1, 2, 4, 191, 382, 764
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,393,913,764,214, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
393:3x 131
913:11x 83
764:2x 2x 191
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 11 = 88
Therefore, the value for common factors is 88.
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 = 12906043978080/(1x88)
LCM = 12906043978080/88
LCM = 146659590660
Thus, we can understand that the LCM of 220,393,913,764,214 is 146659590660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 220, 393, 913, 764, 214?
Answer: LCM of 220, 393, 913, 764, 214 is 146659590660.
2. How to calculate the LCM of 220, 393, 913, 764, 214?
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 220, 393, 913, 764, 214.
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}.