Find the LCM of 346, 955, 481, 418, 344 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 346, 955, 481, 418, 344. So, keep reading to learn more.
Given numbers are 346,955,481,418,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,955,481,418,344 is 5713461164840.
Find LCM of 346,955,481,418,344 with Prime Factorization
2 | 346, 955, 481, 418, 344 |
173, 955, 481, 209, 172 |
Multiply the prime numbers at the bottom and the left side.
2 x 173 x 955 x 481 x 209 x 172 = 5713461164840
Therefore, the lowest common multiple of 346,955,481,418,344 is 5713461164840.
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.
346 x 955 x 481 x 418 x 344 = 22853844659360
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.
346 : 1, 2, 173, 346
955 : 1, 5, 191, 955
481 : 1, 13, 37, 481
418 : 1, 2, 11, 19, 22, 38, 209, 418
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,955,481,418,344, is 1.
Now, the common factors can be found like this.
346:2x 173
955:5x 191
481:13x 37
418:2x 11x 19
344:2x 2x 2x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 22853844659360/(1x4)
LCM = 22853844659360/4
LCM = 5713461164840
Thus, we can understand that the LCM of 346,955,481,418,344 is 5713461164840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 346, 955, 481, 418, 344?
Answer: LCM of 346, 955, 481, 418, 344 is 5713461164840.
2. How to calculate the LCM of 346, 955, 481, 418, 344?
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 346, 955, 481, 418, 344.
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}.