Find the LCM of 872, 910, 900, 350, 111 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 872, 910, 900, 350, 111. So, keep reading to learn more.
Given numbers are 872,910,900,350,111
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,910,900,350,111 is 660605400.
Find LCM of 872,910,900,350,111 with Prime Factorization
2 | 872, 910, 900, 350, 111 |
2 | 436, 455, 450, 175, 111 |
3 | 218, 455, 225, 175, 111 |
5 | 218, 455, 75, 175, 37 |
5 | 218, 91, 15, 35, 37 |
7 | 218, 91, 3, 7, 37 |
218, 13, 3, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 7 x 218 x 13 x 3 x 1 x 37 = 660605400
Therefore, the lowest common multiple of 872,910,900,350,111 is 660605400.
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.
872 x 910 x 900 x 350 x 111 = 27745426800000
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
111 : 1, 3, 37, 111
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,910,900,350,111, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
910:2x 5x 7x 13
900:2x 2x 3x 3x 5x 5
350:2x 5x 5x 7
111:3x 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 2x 2x 3x 5x 5x 5x 7 = 42000
Therefore, the value for common factors is 42000.
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 = 27745426800000/(1x42000)
LCM = 27745426800000/42000
LCM = 660605400
Thus, we can understand that the LCM of 872,910,900,350,111 is 660605400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 872, 910, 900, 350, 111?
Answer: LCM of 872, 910, 900, 350, 111 is 660605400.
2. How to calculate the LCM of 872, 910, 900, 350, 111?
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 872, 910, 900, 350, 111.
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}.