Find the LCM of 252, 904, 398, 573, 872 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 252, 904, 398, 573, 872. So, keep reading to learn more.
Given numbers are 252,904,398,573,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,904,398,573,872 is 235951053912.
Find LCM of 252,904,398,573,872 with Prime Factorization
2 | 252, 904, 398, 573, 872 |
2 | 126, 452, 199, 573, 436 |
2 | 63, 226, 199, 573, 218 |
3 | 63, 113, 199, 573, 109 |
21, 113, 199, 191, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 21 x 113 x 199 x 191 x 109 = 235951053912
Therefore, the lowest common multiple of 252,904,398,573,872 is 235951053912.
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.
252 x 904 x 398 x 573 x 872 = 45302602351104
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.
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
904 : 1, 2, 4, 8, 113, 226, 452, 904
398 : 1, 2, 199, 398
573 : 1, 3, 191, 573
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,904,398,573,872, is 1.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
904:2x 2x 2x 113
398:2x 199
573:3x 191
872:2x 2x 2x 109
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 3 = 192
Therefore, the value for common factors is 192.
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 = 45302602351104/(1x192)
LCM = 45302602351104/192
LCM = 235951053912
Thus, we can understand that the LCM of 252,904,398,573,872 is 235951053912.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 252, 904, 398, 573, 872?
Answer: LCM of 252, 904, 398, 573, 872 is 235951053912.
2. How to calculate the LCM of 252, 904, 398, 573, 872?
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 252, 904, 398, 573, 872.
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}.