Find the LCM of 403, 831, 832, 172, 867 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 403, 831, 832, 172, 867. So, keep reading to learn more.
Given numbers are 403,831,832,172,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,831,832,172,867 is 266349779904.
Find LCM of 403,831,832,172,867 with Prime Factorization
2 | 403, 831, 832, 172, 867 |
2 | 403, 831, 416, 86, 867 |
3 | 403, 831, 208, 43, 867 |
13 | 403, 277, 208, 43, 289 |
31, 277, 16, 43, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 31 x 277 x 16 x 43 x 289 = 266349779904
Therefore, the lowest common multiple of 403,831,832,172,867 is 266349779904.
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.
403 x 831 x 832 x 172 x 867 = 41550565665024
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.
403 : 1, 13, 31, 403
831 : 1, 3, 277, 831
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
172 : 1, 2, 4, 43, 86, 172
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,831,832,172,867, is 1.
Now, the common factors can be found like this.
403:13x 31
831:3x 277
832:2x 2x 2x 2x 2x 2x 13
172:2x 2x 43
867:3x 17x 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 = 41550565665024/(1x156)
LCM = 41550565665024/156
LCM = 266349779904
Thus, we can understand that the LCM of 403,831,832,172,867 is 266349779904.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 403, 831, 832, 172, 867?
Answer: LCM of 403, 831, 832, 172, 867 is 266349779904.
2. How to calculate the LCM of 403, 831, 832, 172, 867?
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 403, 831, 832, 172, 867.
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}.