Find the LCM of 114, 988, 894, 455 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 114, 988, 894, 455. So, keep reading to learn more.
Given numbers are 114,988,894,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,988,894,455 is 15457260.
Find LCM of 114,988,894,455 with Prime Factorization
2 | 114, 988, 894, 455 |
3 | 57, 494, 447, 455 |
13 | 19, 494, 149, 455 |
19 | 19, 38, 149, 35 |
1, 2, 149, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 1 x 2 x 149 x 35 = 15457260
Therefore, the lowest common multiple of 114,988,894,455 is 15457260.
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.
114 x 988 x 894 x 455 = 45815318640
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
894 : 1, 2, 3, 6, 149, 298, 447, 894
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,988,894,455, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
988:2x 2x 13x 19
894:2x 3x 149
455:5x 7x 13
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 13x 19 = 2964
Therefore, the value for common factors is 2964.
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 = 45815318640/(1x2964)
LCM = 45815318640/2964
LCM = 15457260
Thus, we can understand that the LCM of 114,988,894,455 is 15457260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 114, 988, 894, 455?
Answer: LCM of 114, 988, 894, 455 is 15457260.
2. How to calculate the LCM of 114, 988, 894, 455?
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 114, 988, 894, 455.
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}.