Find the LCM of 909, 101, 392, 412, 813 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 909, 101, 392, 412, 813. So, keep reading to learn more.
Given numbers are 909,101,392,412,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,101,392,412,813 is 9946183464.
Find LCM of 909,101,392,412,813 with Prime Factorization
2 | 909, 101, 392, 412, 813 |
2 | 909, 101, 196, 206, 813 |
3 | 909, 101, 98, 103, 813 |
101 | 303, 101, 98, 103, 271 |
3, 1, 98, 103, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 101 x 3 x 1 x 98 x 103 x 271 = 9946183464
Therefore, the lowest common multiple of 909,101,392,412,813 is 9946183464.
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.
909 x 101 x 392 x 412 x 813 = 12054774358368
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.
909 : 1, 3, 9, 101, 303, 909
101 : 1, 101
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
412 : 1, 2, 4, 103, 206, 412
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,101,392,412,813, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
101:101
392:2x 2x 2x 7x 7
412:2x 2x 103
813:3x 271
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 101 = 1212
Therefore, the value for common factors is 1212.
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 = 12054774358368/(1x1212)
LCM = 12054774358368/1212
LCM = 9946183464
Thus, we can understand that the LCM of 909,101,392,412,813 is 9946183464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 909, 101, 392, 412, 813?
Answer: LCM of 909, 101, 392, 412, 813 is 9946183464.
2. How to calculate the LCM of 909, 101, 392, 412, 813?
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 909, 101, 392, 412, 813.
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}.