Find the LCM of 279, 615, 845, 246, 871 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 279, 615, 845, 246, 871. So, keep reading to learn more.
Given numbers are 279,615,845,246,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,615,845,246,871 is 1295237970.
Find LCM of 279,615,845,246,871 with Prime Factorization
3 | 279, 615, 845, 246, 871 |
5 | 93, 205, 845, 82, 871 |
13 | 93, 41, 169, 82, 871 |
41 | 93, 41, 13, 82, 67 |
93, 1, 13, 2, 67 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 41 x 93 x 1 x 13 x 2 x 67 = 1295237970
Therefore, the lowest common multiple of 279,615,845,246,871 is 1295237970.
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.
279 x 615 x 845 x 246 x 871 = 31066282710450
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.
279 : 1, 3, 9, 31, 93, 279
615 : 1, 3, 5, 15, 41, 123, 205, 615
845 : 1, 5, 13, 65, 169, 845
246 : 1, 2, 3, 6, 41, 82, 123, 246
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,615,845,246,871, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
615:3x 5x 41
845:5x 13x 13
246:2x 3x 41
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 13x 41 = 23985
Therefore, the value for common factors is 23985.
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 = 31066282710450/(1x23985)
LCM = 31066282710450/23985
LCM = 1295237970
Thus, we can understand that the LCM of 279,615,845,246,871 is 1295237970.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 279, 615, 845, 246, 871?
Answer: LCM of 279, 615, 845, 246, 871 is 1295237970.
2. How to calculate the LCM of 279, 615, 845, 246, 871?
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 279, 615, 845, 246, 871.
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}.