Find the LCM of 451, 112, 408, 584, 308 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 451, 112, 408, 584, 308. So, keep reading to learn more.
Given numbers are 451,112,408,584,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,112,408,584,308 is 188056176.
Find LCM of 451,112,408,584,308 with Prime Factorization
2 | 451, 112, 408, 584, 308 |
2 | 451, 56, 204, 292, 154 |
2 | 451, 28, 102, 146, 77 |
7 | 451, 14, 51, 73, 77 |
11 | 451, 2, 51, 73, 11 |
41, 2, 51, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 41 x 2 x 51 x 73 x 1 = 188056176
Therefore, the lowest common multiple of 451,112,408,584,308 is 188056176.
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.
451 x 112 x 408 x 584 x 308 = 3706963341312
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.
451 : 1, 11, 41, 451
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
584 : 1, 2, 4, 8, 73, 146, 292, 584
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,112,408,584,308, is 1.
Now, the common factors can be found like this.
451:11x 41
112:2x 2x 2x 2x 7
408:2x 2x 2x 3x 17
584:2x 2x 2x 73
308:2x 2x 7x 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 2x 2x 2x 2x 2x 7x 11 = 19712
Therefore, the value for common factors is 19712.
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 = 3706963341312/(1x19712)
LCM = 3706963341312/19712
LCM = 188056176
Thus, we can understand that the LCM of 451,112,408,584,308 is 188056176.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 451, 112, 408, 584, 308?
Answer: LCM of 451, 112, 408, 584, 308 is 188056176.
2. How to calculate the LCM of 451, 112, 408, 584, 308?
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 451, 112, 408, 584, 308.
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}.