Find the LCM of 673, 920, 434, 434, 466 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 673, 920, 434, 434, 466. So, keep reading to learn more.
Given numbers are 673,920,434,434,466
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 673,920,434,434,466 is 31305348760.
Find LCM of 673,920,434,434,466 with Prime Factorization
2 | 673, 920, 434, 434, 466 |
7 | 673, 460, 217, 217, 233 |
31 | 673, 460, 31, 31, 233 |
673, 460, 1, 1, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 31 x 673 x 460 x 1 x 1 x 233 = 31305348760
Therefore, the lowest common multiple of 673,920,434,434,466 is 31305348760.
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.
673 x 920 x 434 x 434 x 466 = 54346085447360
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.
673 : 1, 673
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
434 : 1, 2, 7, 14, 31, 62, 217, 434
434 : 1, 2, 7, 14, 31, 62, 217, 434
466 : 1, 2, 233, 466
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,920,434,434,466, is 1.
Now, the common factors can be found like this.
673:673
920:2x 2x 2x 5x 23
434:2x 7x 31
434:2x 7x 31
466:2x 233
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 7x 31 = 1736
Therefore, the value for common factors is 1736.
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 = 54346085447360/(1x1736)
LCM = 54346085447360/1736
LCM = 31305348760
Thus, we can understand that the LCM of 673,920,434,434,466 is 31305348760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 673, 920, 434, 434, 466?
Answer: LCM of 673, 920, 434, 434, 466 is 31305348760.
2. How to calculate the LCM of 673, 920, 434, 434, 466?
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 673, 920, 434, 434, 466.
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}.