Find the LCM of 451, 144, 451, 367, 832 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, 144, 451, 367, 832. So, keep reading to learn more.
Given numbers are 451,144,451,367,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,144,451,367,832 is 1239391296.
Find LCM of 451,144,451,367,832 with Prime Factorization
2 | 451, 144, 451, 367, 832 |
2 | 451, 72, 451, 367, 416 |
2 | 451, 36, 451, 367, 208 |
2 | 451, 18, 451, 367, 104 |
11 | 451, 9, 451, 367, 52 |
41 | 41, 9, 41, 367, 52 |
1, 9, 1, 367, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 41 x 1 x 9 x 1 x 367 x 52 = 1239391296
Therefore, the lowest common multiple of 451,144,451,367,832 is 1239391296.
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 144 x 451 x 367 x 832 = 8943447591936
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
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
451 : 1, 11, 41, 451
367 : 1, 367
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,144,451,367,832, is 1.
Now, the common factors can be found like this.
451:11x 41
144:2x 2x 2x 2x 3x 3
451:11x 41
367:367
832:2x 2x 2x 2x 2x 2x 13
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 11x 41 = 7216
Therefore, the value for common factors is 7216.
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 = 8943447591936/(1x7216)
LCM = 8943447591936/7216
LCM = 1239391296
Thus, we can understand that the LCM of 451,144,451,367,832 is 1239391296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 451, 144, 451, 367, 832?
Answer: LCM of 451, 144, 451, 367, 832 is 1239391296.
2. How to calculate the LCM of 451, 144, 451, 367, 832?
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, 144, 451, 367, 832.
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}.