Find the LCM of 182, 327, 338, 408 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 182, 327, 338, 408. So, keep reading to learn more.
Given numbers are 182,327,338,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,327,338,408 is 52610376.
Find LCM of 182,327,338,408 with Prime Factorization
2 | 182, 327, 338, 408 |
3 | 91, 327, 169, 204 |
13 | 91, 109, 169, 68 |
7, 109, 13, 68 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 7 x 109 x 13 x 68 = 52610376
Therefore, the lowest common multiple of 182,327,338,408 is 52610376.
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.
182 x 327 x 338 x 408 = 8207218656
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
327 : 1, 3, 109, 327
338 : 1, 2, 13, 26, 169, 338
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,327,338,408, is 1.
Now, the common factors can be found like this.
182:2x 7x 13
327:3x 109
338:2x 13x 13
408:2x 2x 2x 3x 17
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 13 = 156
Therefore, the value for common factors is 156.
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 = 8207218656/(1x156)
LCM = 8207218656/156
LCM = 52610376
Thus, we can understand that the LCM of 182,327,338,408 is 52610376.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 182, 327, 338, 408?
Answer: LCM of 182, 327, 338, 408 is 52610376.
2. How to calculate the LCM of 182, 327, 338, 408?
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 182, 327, 338, 408.
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}.