Find the LCM of 466, 721, 917, 206, 467 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, 721, 917, 206, 467. So, keep reading to learn more.
Given numbers are 466,721,917,206,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 466,721,917,206,467 is 20554615522.
Find LCM of 466,721,917,206,467 with Prime Factorization
2 | 466, 721, 917, 206, 467 |
7 | 233, 721, 917, 103, 467 |
103 | 233, 103, 131, 103, 467 |
233, 1, 131, 1, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 103 x 233 x 1 x 131 x 1 x 467 = 20554615522
Therefore, the lowest common multiple of 466,721,917,206,467 is 20554615522.
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 721 x 917 x 206 x 467 = 29639755582724
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
721 : 1, 7, 103, 721
917 : 1, 7, 131, 917
206 : 1, 2, 103, 206
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,721,917,206,467, is 1.
Now, the common factors can be found like this.
466:2x 233
721:7x 103
917:7x 131
206:2x 103
467:467
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 103 = 1442
Therefore, the value for common factors is 1442.
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 = 29639755582724/(1x1442)
LCM = 29639755582724/1442
LCM = 20554615522
Thus, we can understand that the LCM of 466,721,917,206,467 is 20554615522.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 466, 721, 917, 206, 467?
Answer: LCM of 466, 721, 917, 206, 467 is 20554615522.
2. How to calculate the LCM of 466, 721, 917, 206, 467?
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, 721, 917, 206, 467.
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}.