Find the LCM of 880, 119, 511, 448, 428 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 880, 119, 511, 448, 428. So, keep reading to learn more.
Given numbers are 880,119,511,448,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,119,511,448,428 is 3271871680.
Find LCM of 880,119,511,448,428 with Prime Factorization
2 | 880, 119, 511, 448, 428 |
2 | 440, 119, 511, 224, 214 |
2 | 220, 119, 511, 112, 107 |
2 | 110, 119, 511, 56, 107 |
7 | 55, 119, 511, 28, 107 |
55, 17, 73, 4, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 55 x 17 x 73 x 4 x 107 = 3271871680
Therefore, the lowest common multiple of 880,119,511,448,428 is 3271871680.
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.
880 x 119 x 511 x 448 x 428 = 10260589588480
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
119 : 1, 7, 17, 119
511 : 1, 7, 73, 511
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,119,511,448,428, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
119:7x 17
511:7x 73
448:2x 2x 2x 2x 2x 2x 7
428:2x 2x 107
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 2x 2x 7x 7 = 3136
Therefore, the value for common factors is 3136.
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 = 10260589588480/(1x3136)
LCM = 10260589588480/3136
LCM = 3271871680
Thus, we can understand that the LCM of 880,119,511,448,428 is 3271871680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 880, 119, 511, 448, 428?
Answer: LCM of 880, 119, 511, 448, 428 is 3271871680.
2. How to calculate the LCM of 880, 119, 511, 448, 428?
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 880, 119, 511, 448, 428.
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}.