Find the LCM of 308, 826, 110, 999 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 308, 826, 110, 999. So, keep reading to learn more.
Given numbers are 308,826,110,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,826,110,999 is 90769140.
Find LCM of 308,826,110,999 with Prime Factorization
2 | 308, 826, 110, 999 |
7 | 154, 413, 55, 999 |
11 | 22, 59, 55, 999 |
2, 59, 5, 999 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 2 x 59 x 5 x 999 = 90769140
Therefore, the lowest common multiple of 308,826,110,999 is 90769140.
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.
308 x 826 x 110 x 999 = 27956895120
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
826 : 1, 2, 7, 14, 59, 118, 413, 826
110 : 1, 2, 5, 10, 11, 22, 55, 110
999 : 1, 3, 9, 27, 37, 111, 333, 999
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,826,110,999, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
826:2x 7x 59
110:2x 5x 11
999:3x 3x 3x 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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 27956895120/(1x308)
LCM = 27956895120/308
LCM = 90769140
Thus, we can understand that the LCM of 308,826,110,999 is 90769140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 308, 826, 110, 999?
Answer: LCM of 308, 826, 110, 999 is 90769140.
2. How to calculate the LCM of 308, 826, 110, 999?
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 308, 826, 110, 999.
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}.