Find the LCM of 468, 443, 886, 326 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 468, 443, 886, 326. So, keep reading to learn more.
Given numbers are 468,443,886,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,443,886,326 is 33793812.
Find LCM of 468,443,886,326 with Prime Factorization
2 | 468, 443, 886, 326 |
443 | 234, 443, 443, 163 |
234, 1, 1, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 443 x 234 x 1 x 1 x 163 = 33793812
Therefore, the lowest common multiple of 468,443,886,326 is 33793812.
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.
468 x 443 x 886 x 326 = 59882634864
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
443 : 1, 443
886 : 1, 2, 443, 886
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,443,886,326, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
443:443
886:2x 443
326:2x 163
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 443 = 1772
Therefore, the value for common factors is 1772.
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 = 59882634864/(1x1772)
LCM = 59882634864/1772
LCM = 33793812
Thus, we can understand that the LCM of 468,443,886,326 is 33793812.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 468, 443, 886, 326?
Answer: LCM of 468, 443, 886, 326 is 33793812.
2. How to calculate the LCM of 468, 443, 886, 326?
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 468, 443, 886, 326.
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}.