Find the LCM of 8, 344, 461, 198 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 8, 344, 461, 198. So, keep reading to learn more.
Given numbers are 8,344,461,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8,344,461,198 is 15699816.
Find LCM of 8,344,461,198 with Prime Factorization
2 | 8, 344, 461, 198 |
2 | 4, 172, 461, 99 |
2 | 2, 86, 461, 99 |
1, 43, 461, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 1 x 43 x 461 x 99 = 15699816
Therefore, the lowest common multiple of 8,344,461,198 is 15699816.
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.
8 x 344 x 461 x 198 = 251197056
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.
8 : 1, 2, 4, 8
344 : 1, 2, 4, 8, 43, 86, 172, 344
461 : 1, 461
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8,344,461,198, is 1.
Now, the common factors can be found like this.
8:2x 2x 2
344:2x 2x 2x 43
461:461
198:2x 3x 3x 11
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 = 251197056/(1x16)
LCM = 251197056/16
LCM = 15699816
Thus, we can understand that the LCM of 8,344,461,198 is 15699816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 8, 344, 461, 198?
Answer: LCM of 8, 344, 461, 198 is 15699816.
2. How to calculate the LCM of 8, 344, 461, 198?
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 8, 344, 461, 198.
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}.