Find the LCM of 193, 296, 697, 969, 684 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 193, 296, 697, 969, 684. So, keep reading to learn more.
Given numbers are 193,296,697,969,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,296,697,969,684 is 6808914936.
Find LCM of 193,296,697,969,684 with Prime Factorization
2 | 193, 296, 697, 969, 684 |
2 | 193, 148, 697, 969, 342 |
3 | 193, 74, 697, 969, 171 |
17 | 193, 74, 697, 323, 57 |
19 | 193, 74, 41, 19, 57 |
193, 74, 41, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 19 x 193 x 74 x 41 x 1 x 3 = 6808914936
Therefore, the lowest common multiple of 193,296,697,969,684 is 6808914936.
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.
193 x 296 x 697 x 969 x 684 = 26391354291936
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.
193 : 1, 193
296 : 1, 2, 4, 8, 37, 74, 148, 296
697 : 1, 17, 41, 697
969 : 1, 3, 17, 19, 51, 57, 323, 969
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,296,697,969,684, is 1.
Now, the common factors can be found like this.
193:193
296:2x 2x 2x 37
697:17x 41
969:3x 17x 19
684:2x 2x 3x 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.
2x 2x 3x 17x 19 = 3876
Therefore, the value for common factors is 3876.
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 = 26391354291936/(1x3876)
LCM = 26391354291936/3876
LCM = 6808914936
Thus, we can understand that the LCM of 193,296,697,969,684 is 6808914936.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 193, 296, 697, 969, 684?
Answer: LCM of 193, 296, 697, 969, 684 is 6808914936.
2. How to calculate the LCM of 193, 296, 697, 969, 684?
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 193, 296, 697, 969, 684.
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}.