Find the LCM of 213, 466, 296, 126, 777 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 213, 466, 296, 126, 777. So, keep reading to learn more.
Given numbers are 213,466,296,126,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,466,296,126,777 is 308493864.
Find LCM of 213,466,296,126,777 with Prime Factorization
2 | 213, 466, 296, 126, 777 |
3 | 213, 233, 148, 63, 777 |
7 | 71, 233, 148, 21, 259 |
37 | 71, 233, 148, 3, 37 |
71, 233, 4, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 37 x 71 x 233 x 4 x 3 x 1 = 308493864
Therefore, the lowest common multiple of 213,466,296,126,777 is 308493864.
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.
213 x 466 x 296 x 126 x 777 = 2876396787936
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.
213 : 1, 3, 71, 213
466 : 1, 2, 233, 466
296 : 1, 2, 4, 8, 37, 74, 148, 296
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,466,296,126,777, is 1.
Now, the common factors can be found like this.
213:3x 71
466:2x 233
296:2x 2x 2x 37
126:2x 3x 3x 7
777:3x 7x 37
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 3x 3x 7x 37 = 9324
Therefore, the value for common factors is 9324.
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 = 2876396787936/(1x9324)
LCM = 2876396787936/9324
LCM = 308493864
Thus, we can understand that the LCM of 213,466,296,126,777 is 308493864.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 213, 466, 296, 126, 777?
Answer: LCM of 213, 466, 296, 126, 777 is 308493864.
2. How to calculate the LCM of 213, 466, 296, 126, 777?
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 213, 466, 296, 126, 777.
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}.