Find the LCM of 677, 681, 989, 161, 912 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 677, 681, 989, 161, 912. So, keep reading to learn more.
Given numbers are 677,681,989,161,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,681,989,161,912 is 970294781904.
Find LCM of 677,681,989,161,912 with Prime Factorization
3 | 677, 681, 989, 161, 912 |
23 | 677, 227, 989, 161, 304 |
677, 227, 43, 7, 304 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 677 x 227 x 43 x 7 x 304 = 970294781904
Therefore, the lowest common multiple of 677,681,989,161,912 is 970294781904.
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.
677 x 681 x 989 x 161 x 912 = 66950339951376
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.
677 : 1, 677
681 : 1, 3, 227, 681
989 : 1, 23, 43, 989
161 : 1, 7, 23, 161
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,681,989,161,912, is 1.
Now, the common factors can be found like this.
677:677
681:3x 227
989:23x 43
161:7x 23
912:2x 2x 2x 2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23 = 69
Therefore, the value for common factors is 69.
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 = 66950339951376/(1x69)
LCM = 66950339951376/69
LCM = 970294781904
Thus, we can understand that the LCM of 677,681,989,161,912 is 970294781904.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 677, 681, 989, 161, 912?
Answer: LCM of 677, 681, 989, 161, 912 is 970294781904.
2. How to calculate the LCM of 677, 681, 989, 161, 912?
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 677, 681, 989, 161, 912.
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}.