Find the LCM of 863, 221, 845, 52 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 863, 221, 845, 52. So, keep reading to learn more.
Given numbers are 863,221,845,52
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 863,221,845,52 is 49587980.
Find LCM of 863,221,845,52 with Prime Factorization
13 | 863, 221, 845, 52 |
863, 17, 65, 4 |
Multiply the prime numbers at the bottom and the left side.
13 x 863 x 17 x 65 x 4 = 49587980
Therefore, the lowest common multiple of 863,221,845,52 is 49587980.
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.
863 x 221 x 845 x 52 = 8380368620
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.
863 : 1, 863
221 : 1, 13, 17, 221
845 : 1, 5, 13, 65, 169, 845
52 : 1, 2, 4, 13, 26, 52
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,221,845,52, is 1.
Now, the common factors can be found like this.
863:863
221:13x 17
845:5x 13x 13
52:2x 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.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 8380368620/(1x169)
LCM = 8380368620/169
LCM = 49587980
Thus, we can understand that the LCM of 863,221,845,52 is 49587980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 863, 221, 845, 52?
Answer: LCM of 863, 221, 845, 52 is 49587980.
2. How to calculate the LCM of 863, 221, 845, 52?
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 863, 221, 845, 52.
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}.