Find the LCM of 888, 419, 259, 252 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 888, 419, 259, 252. So, keep reading to learn more.
Given numbers are 888,419,259,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 888,419,259,252 is 7813512.
Find LCM of 888,419,259,252 with Prime Factorization
2 | 888, 419, 259, 252 |
2 | 444, 419, 259, 126 |
3 | 222, 419, 259, 63 |
7 | 74, 419, 259, 21 |
37 | 74, 419, 37, 3 |
2, 419, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 37 x 2 x 419 x 1 x 3 = 7813512
Therefore, the lowest common multiple of 888,419,259,252 is 7813512.
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.
888 x 419 x 259 x 252 = 24284395296
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.
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
419 : 1, 419
259 : 1, 7, 37, 259
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,419,259,252, is 1.
Now, the common factors can be found like this.
888:2x 2x 2x 3x 37
419:419
259:7x 37
252:2x 2x 3x 3x 7
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 7x 37 = 3108
Therefore, the value for common factors is 3108.
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 = 24284395296/(1x3108)
LCM = 24284395296/3108
LCM = 7813512
Thus, we can understand that the LCM of 888,419,259,252 is 7813512.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 888, 419, 259, 252?
Answer: LCM of 888, 419, 259, 252 is 7813512.
2. How to calculate the LCM of 888, 419, 259, 252?
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 888, 419, 259, 252.
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}.