Find the LCM of 312, 831, 589, 544, 442 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 312, 831, 589, 544, 442. So, keep reading to learn more.
Given numbers are 312,831,589,544,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,831,589,544,442 is 3461454048.
Find LCM of 312,831,589,544,442 with Prime Factorization
2 | 312, 831, 589, 544, 442 |
2 | 156, 831, 589, 272, 221 |
2 | 78, 831, 589, 136, 221 |
3 | 39, 831, 589, 68, 221 |
13 | 13, 277, 589, 68, 221 |
17 | 1, 277, 589, 68, 17 |
1, 277, 589, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 17 x 1 x 277 x 589 x 4 x 1 = 3461454048
Therefore, the lowest common multiple of 312,831,589,544,442 is 3461454048.
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.
312 x 831 x 589 x 544 x 442 = 36719104541184
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
831 : 1, 3, 277, 831
589 : 1, 19, 31, 589
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,831,589,544,442, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
831:3x 277
589:19x 31
544:2x 2x 2x 2x 2x 17
442:2x 13x 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 2x 2x 3x 13x 17 = 10608
Therefore, the value for common factors is 10608.
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 = 36719104541184/(1x10608)
LCM = 36719104541184/10608
LCM = 3461454048
Thus, we can understand that the LCM of 312,831,589,544,442 is 3461454048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 312, 831, 589, 544, 442?
Answer: LCM of 312, 831, 589, 544, 442 is 3461454048.
2. How to calculate the LCM of 312, 831, 589, 544, 442?
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 312, 831, 589, 544, 442.
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}.