Find the LCM of 412, 748, 731, 789, 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 412, 748, 731, 789, 212. So, keep reading to learn more.
Given numbers are 412,748,731,789,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,748,731,789,212 is 138535204764.
Find LCM of 412,748,731,789,212 with Prime Factorization
2 | 412, 748, 731, 789, 212 |
2 | 206, 374, 731, 789, 106 |
17 | 103, 187, 731, 789, 53 |
103, 11, 43, 789, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 103 x 11 x 43 x 789 x 53 = 138535204764
Therefore, the lowest common multiple of 412,748,731,789,212 is 138535204764.
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.
412 x 748 x 731 x 789 x 212 = 37681575695808
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.
412 : 1, 2, 4, 103, 206, 412
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
731 : 1, 17, 43, 731
789 : 1, 3, 263, 789
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 412,748,731,789,212, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
748:2x 2x 11x 17
731:17x 43
789:3x 263
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 2x 2x 2x 17 = 272
Therefore, the value for common factors is 272.
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 = 37681575695808/(1x272)
LCM = 37681575695808/272
LCM = 138535204764
Thus, we can understand that the LCM of 412,748,731,789,212 is 138535204764.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 412, 748, 731, 789, 212?
Answer: LCM of 412, 748, 731, 789, 212 is 138535204764.
2. How to calculate the LCM of 412, 748, 731, 789, 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 412, 748, 731, 789, 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}.