Find the LCM of 615, 279, 383, 279 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 615, 279, 383, 279. So, keep reading to learn more.
Given numbers are 615,279,383,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,279,383,279 is 21905685.
Find LCM of 615,279,383,279 with Prime Factorization
3 | 615, 279, 383, 279 |
3 | 205, 93, 383, 93 |
31 | 205, 31, 383, 31 |
205, 1, 383, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 31 x 205 x 1 x 383 x 1 = 21905685
Therefore, the lowest common multiple of 615,279,383,279 is 21905685.
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.
615 x 279 x 383 x 279 = 18335058345
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
279 : 1, 3, 9, 31, 93, 279
383 : 1, 383
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,279,383,279, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
279:3x 3x 31
383:383
279:3x 3x 31
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 3x 31 = 837
Therefore, the value for common factors is 837.
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 = 18335058345/(1x837)
LCM = 18335058345/837
LCM = 21905685
Thus, we can understand that the LCM of 615,279,383,279 is 21905685.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 615, 279, 383, 279?
Answer: LCM of 615, 279, 383, 279 is 21905685.
2. How to calculate the LCM of 615, 279, 383, 279?
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 615, 279, 383, 279.
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}.