Find the LCM of 452, 731, 344, 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 452, 731, 344, 212. So, keep reading to learn more.
Given numbers are 452,731,344,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,731,344,212 is 35023672.
Find LCM of 452,731,344,212 with Prime Factorization
2 | 452, 731, 344, 212 |
2 | 226, 731, 172, 106 |
43 | 113, 731, 86, 53 |
113, 17, 2, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 113 x 17 x 2 x 53 = 35023672
Therefore, the lowest common multiple of 452,731,344,212 is 35023672.
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.
452 x 731 x 344 x 212 = 24096286336
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.
452 : 1, 2, 4, 113, 226, 452
731 : 1, 17, 43, 731
344 : 1, 2, 4, 8, 43, 86, 172, 344
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 452,731,344,212, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
731:17x 43
344:2x 2x 2x 43
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 43 = 688
Therefore, the value for common factors is 688.
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 = 24096286336/(1x688)
LCM = 24096286336/688
LCM = 35023672
Thus, we can understand that the LCM of 452,731,344,212 is 35023672.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 452, 731, 344, 212?
Answer: LCM of 452, 731, 344, 212 is 35023672.
2. How to calculate the LCM of 452, 731, 344, 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 452, 731, 344, 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}.