Find the LCM of 904, 288, 593, 678, 741 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 904, 288, 593, 678, 741. So, keep reading to learn more.
Given numbers are 904,288,593,678,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,288,593,678,741 is 4766752224.
Find LCM of 904,288,593,678,741 with Prime Factorization
2 | 904, 288, 593, 678, 741 |
2 | 452, 144, 593, 339, 741 |
2 | 226, 72, 593, 339, 741 |
3 | 113, 36, 593, 339, 741 |
113 | 113, 12, 593, 113, 247 |
1, 12, 593, 1, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 113 x 1 x 12 x 593 x 1 x 247 = 4766752224
Therefore, the lowest common multiple of 904,288,593,678,741 is 4766752224.
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.
904 x 288 x 593 x 678 x 741 = 77564592188928
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
593 : 1, 593
678 : 1, 2, 3, 6, 113, 226, 339, 678
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,288,593,678,741, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
288:2x 2x 2x 2x 2x 3x 3
593:593
678:2x 3x 113
741:3x 13x 19
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 3x 113 = 16272
Therefore, the value for common factors is 16272.
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 = 77564592188928/(1x16272)
LCM = 77564592188928/16272
LCM = 4766752224
Thus, we can understand that the LCM of 904,288,593,678,741 is 4766752224.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 904, 288, 593, 678, 741?
Answer: LCM of 904, 288, 593, 678, 741 is 4766752224.
2. How to calculate the LCM of 904, 288, 593, 678, 741?
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 904, 288, 593, 678, 741.
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}.