Find the LCM of 455, 753, 182, 330, 418 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 455, 753, 182, 330, 418. So, keep reading to learn more.
Given numbers are 455,753,182,330,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,753,182,330,418 is 143213070.
Find LCM of 455,753,182,330,418 with Prime Factorization
2 | 455, 753, 182, 330, 418 |
3 | 455, 753, 91, 165, 209 |
5 | 455, 251, 91, 55, 209 |
7 | 91, 251, 91, 11, 209 |
11 | 13, 251, 13, 11, 209 |
13 | 13, 251, 13, 1, 19 |
1, 251, 1, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 13 x 1 x 251 x 1 x 1 x 19 = 143213070
Therefore, the lowest common multiple of 455,753,182,330,418 is 143213070.
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.
455 x 753 x 182 x 330 x 418 = 8601376984200
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
753 : 1, 3, 251, 753
182 : 1, 2, 7, 13, 14, 26, 91, 182
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,753,182,330,418, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
753:3x 251
182:2x 7x 13
330:2x 3x 5x 11
418:2x 11x 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 5x 7x 11x 13 = 60060
Therefore, the value for common factors is 60060.
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 = 8601376984200/(1x60060)
LCM = 8601376984200/60060
LCM = 143213070
Thus, we can understand that the LCM of 455,753,182,330,418 is 143213070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 455, 753, 182, 330, 418?
Answer: LCM of 455, 753, 182, 330, 418 is 143213070.
2. How to calculate the LCM of 455, 753, 182, 330, 418?
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 455, 753, 182, 330, 418.
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}.