Find the LCM of 197, 689, 976, 949 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 197, 689, 976, 949. So, keep reading to learn more.
Given numbers are 197,689,976,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,689,976,949 is 9670704784.
Find LCM of 197,689,976,949 with Prime Factorization
13 | 197, 689, 976, 949 |
197, 53, 976, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 197 x 53 x 976 x 73 = 9670704784
Therefore, the lowest common multiple of 197,689,976,949 is 9670704784.
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.
197 x 689 x 976 x 949 = 125719162192
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.
197 : 1, 197
689 : 1, 13, 53, 689
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,689,976,949, is 1.
Now, the common factors can be found like this.
197:197
689:13x 53
976:2x 2x 2x 2x 61
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 125719162192/(1x13)
LCM = 125719162192/13
LCM = 9670704784
Thus, we can understand that the LCM of 197,689,976,949 is 9670704784.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 197, 689, 976, 949?
Answer: LCM of 197, 689, 976, 949 is 9670704784.
2. How to calculate the LCM of 197, 689, 976, 949?
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 197, 689, 976, 949.
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}.