Find the LCM of 541, 184, 104, 845, 713 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 541, 184, 104, 845, 713. So, keep reading to learn more.
Given numbers are 541,184,104,845,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,184,104,845,713 is 2607555080.
Find LCM of 541,184,104,845,713 with Prime Factorization
2 | 541, 184, 104, 845, 713 |
2 | 541, 92, 52, 845, 713 |
2 | 541, 46, 26, 845, 713 |
13 | 541, 23, 13, 845, 713 |
23 | 541, 23, 1, 65, 713 |
541, 1, 1, 65, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 23 x 541 x 1 x 1 x 65 x 31 = 2607555080
Therefore, the lowest common multiple of 541,184,104,845,713 is 2607555080.
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.
541 x 184 x 104 x 845 x 713 = 6237271751360
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.
541 : 1, 541
184 : 1, 2, 4, 8, 23, 46, 92, 184
104 : 1, 2, 4, 8, 13, 26, 52, 104
845 : 1, 5, 13, 65, 169, 845
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,184,104,845,713, is 1.
Now, the common factors can be found like this.
541:541
184:2x 2x 2x 23
104:2x 2x 2x 13
845:5x 13x 13
713:23x 31
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 13x 23 = 2392
Therefore, the value for common factors is 2392.
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 = 6237271751360/(1x2392)
LCM = 6237271751360/2392
LCM = 2607555080
Thus, we can understand that the LCM of 541,184,104,845,713 is 2607555080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 541, 184, 104, 845, 713?
Answer: LCM of 541, 184, 104, 845, 713 is 2607555080.
2. How to calculate the LCM of 541, 184, 104, 845, 713?
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 541, 184, 104, 845, 713.
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}.