Find the LCM of 908, 989, 502, 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 908, 989, 502, 252. So, keep reading to learn more.
Given numbers are 908,989,502,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 908,989,502,252 is 14200263756.
Find LCM of 908,989,502,252 with Prime Factorization
2 | 908, 989, 502, 252 |
2 | 454, 989, 251, 126 |
227, 989, 251, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 227 x 989 x 251 x 63 = 14200263756
Therefore, the lowest common multiple of 908,989,502,252 is 14200263756.
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.
908 x 989 x 502 x 252 = 113602110048
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.
908 : 1, 2, 4, 227, 454, 908
989 : 1, 23, 43, 989
502 : 1, 2, 251, 502
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 908,989,502,252, is 1.
Now, the common factors can be found like this.
908:2x 2x 227
989:23x 43
502:2x 251
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 2 = 8
Therefore, the value for common factors is 8.
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 = 113602110048/(1x8)
LCM = 113602110048/8
LCM = 14200263756
Thus, we can understand that the LCM of 908,989,502,252 is 14200263756.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 908, 989, 502, 252?
Answer: LCM of 908, 989, 502, 252 is 14200263756.
2. How to calculate the LCM of 908, 989, 502, 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 908, 989, 502, 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}.