Find the LCM of 441, 458, 904, 868 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 441, 458, 904, 868. So, keep reading to learn more.
Given numbers are 441,458,904,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,458,904,868 is 2830115736.
Find LCM of 441,458,904,868 with Prime Factorization
2 | 441, 458, 904, 868 |
2 | 441, 229, 452, 434 |
7 | 441, 229, 226, 217 |
63, 229, 226, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 63 x 229 x 226 x 31 = 2830115736
Therefore, the lowest common multiple of 441,458,904,868 is 2830115736.
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.
441 x 458 x 904 x 868 = 158486481216
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
458 : 1, 2, 229, 458
904 : 1, 2, 4, 8, 113, 226, 452, 904
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,458,904,868, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
458:2x 229
904:2x 2x 2x 113
868:2x 2x 7x 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 7 = 56
Therefore, the value for common factors is 56.
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 = 158486481216/(1x56)
LCM = 158486481216/56
LCM = 2830115736
Thus, we can understand that the LCM of 441,458,904,868 is 2830115736.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 441, 458, 904, 868?
Answer: LCM of 441, 458, 904, 868 is 2830115736.
2. How to calculate the LCM of 441, 458, 904, 868?
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 441, 458, 904, 868.
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}.