Find the LCM of 443, 889, 886, 414 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 443, 889, 886, 414. So, keep reading to learn more.
Given numbers are 443,889,886,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,889,886,414 is 163044378.
Find LCM of 443,889,886,414 with Prime Factorization
2 | 443, 889, 886, 414 |
443 | 443, 889, 443, 207 |
1, 889, 1, 207 |
Multiply the prime numbers at the bottom and the left side.
2 x 443 x 1 x 889 x 1 x 207 = 163044378
Therefore, the lowest common multiple of 443,889,886,414 is 163044378.
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.
443 x 889 x 886 x 414 = 144457318908
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.
443 : 1, 443
889 : 1, 7, 127, 889
886 : 1, 2, 443, 886
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,889,886,414, is 1.
Now, the common factors can be found like this.
443:443
889:7x 127
886:2x 443
414:2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 443 = 886
Therefore, the value for common factors is 886.
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 = 144457318908/(1x886)
LCM = 144457318908/886
LCM = 163044378
Thus, we can understand that the LCM of 443,889,886,414 is 163044378.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 443, 889, 886, 414?
Answer: LCM of 443, 889, 886, 414 is 163044378.
2. How to calculate the LCM of 443, 889, 886, 414?
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 443, 889, 886, 414.
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}.