Find the LCM of 198, 466, 104, 100, 331 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 198, 466, 104, 100, 331. So, keep reading to learn more.
Given numbers are 198,466,104,100,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,466,104,100,331 is 19851460200.
Find LCM of 198,466,104,100,331 with Prime Factorization
2 | 198, 466, 104, 100, 331 |
2 | 99, 233, 52, 50, 331 |
99, 233, 26, 25, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 99 x 233 x 26 x 25 x 331 = 19851460200
Therefore, the lowest common multiple of 198,466,104,100,331 is 19851460200.
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.
198 x 466 x 104 x 100 x 331 = 317623363200
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
466 : 1, 2, 233, 466
104 : 1, 2, 4, 8, 13, 26, 52, 104
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,466,104,100,331, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
466:2x 233
104:2x 2x 2x 13
100:2x 2x 5x 5
331:331
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 2 = 16
Therefore, the value for common factors is 16.
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 = 317623363200/(1x16)
LCM = 317623363200/16
LCM = 19851460200
Thus, we can understand that the LCM of 198,466,104,100,331 is 19851460200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 198, 466, 104, 100, 331?
Answer: LCM of 198, 466, 104, 100, 331 is 19851460200.
2. How to calculate the LCM of 198, 466, 104, 100, 331?
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 198, 466, 104, 100, 331.
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}.