Find the LCM of 365, 858, 904, 538, 647 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 365, 858, 904, 538, 647. So, keep reading to learn more.
Given numbers are 365,858,904,538,647
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,858,904,538,647 is 24636280932120.
Find LCM of 365,858,904,538,647 with Prime Factorization
2 | 365, 858, 904, 538, 647 |
365, 429, 452, 269, 647 |
Multiply the prime numbers at the bottom and the left side.
2 x 365 x 429 x 452 x 269 x 647 = 24636280932120
Therefore, the lowest common multiple of 365,858,904,538,647 is 24636280932120.
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.
365 x 858 x 904 x 538 x 647 = 98545123728480
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.
365 : 1, 5, 73, 365
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
904 : 1, 2, 4, 8, 113, 226, 452, 904
538 : 1, 2, 269, 538
647 : 1, 647
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,858,904,538,647, is 1.
Now, the common factors can be found like this.
365:5x 73
858:2x 3x 11x 13
904:2x 2x 2x 113
538:2x 269
647:647
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 98545123728480/(1x4)
LCM = 98545123728480/4
LCM = 24636280932120
Thus, we can understand that the LCM of 365,858,904,538,647 is 24636280932120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 365, 858, 904, 538, 647?
Answer: LCM of 365, 858, 904, 538, 647 is 24636280932120.
2. How to calculate the LCM of 365, 858, 904, 538, 647?
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 365, 858, 904, 538, 647.
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}.