Find the LCM of 466, 233, 411, 212 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 466, 233, 411, 212. So, keep reading to learn more.
Given numbers are 466,233,411,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 466,233,411,212 is 20301756.
Find LCM of 466,233,411,212 with Prime Factorization
2 | 466, 233, 411, 212 |
233 | 233, 233, 411, 106 |
1, 1, 411, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 233 x 1 x 1 x 411 x 106 = 20301756
Therefore, the lowest common multiple of 466,233,411,212 is 20301756.
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.
466 x 233 x 411 x 212 = 9460618296
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.
466 : 1, 2, 233, 466
233 : 1, 233
411 : 1, 3, 137, 411
212 : 1, 2, 4, 53, 106, 212
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,233,411,212, is 1.
Now, the common factors can be found like this.
466:2x 233
233:233
411:3x 137
212:2x 2x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 233 = 466
Therefore, the value for common factors is 466.
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 = 9460618296/(1x466)
LCM = 9460618296/466
LCM = 20301756
Thus, we can understand that the LCM of 466,233,411,212 is 20301756.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 466, 233, 411, 212?
Answer: LCM of 466, 233, 411, 212 is 20301756.
2. How to calculate the LCM of 466, 233, 411, 212?
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 466, 233, 411, 212.
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}.