Find the LCM of 578, 858, 904, 208 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 578, 858, 904, 208. So, keep reading to learn more.
Given numbers are 578,858,904,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,858,904,208 is 224157648.
Find LCM of 578,858,904,208 with Prime Factorization
2 | 578, 858, 904, 208 |
2 | 289, 429, 452, 104 |
2 | 289, 429, 226, 52 |
13 | 289, 429, 113, 26 |
289, 33, 113, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 289 x 33 x 113 x 2 = 224157648
Therefore, the lowest common multiple of 578,858,904,208 is 224157648.
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.
578 x 858 x 904 x 208 = 93249581568
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.
578 : 1, 2, 17, 34, 289, 578
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
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,858,904,208, is 2.
Now, the common factors can be found like this.
578:2x 17x 17
858:2x 3x 11x 13
904:2x 2x 2x 113
208:2x 2x 2x 2x 13
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 13 = 208
Therefore, the value for common factors is 208.
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 = 93249581568/(2x208)
LCM = 93249581568/416
LCM = 224157648
Thus, we can understand that the LCM of 578,858,904,208 is 224157648.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 858, 904, 208?
Answer: LCM of 578, 858, 904, 208 is 224157648.
2. How to calculate the LCM of 578, 858, 904, 208?
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 578, 858, 904, 208.
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}.