Find the LCM of 255, 724, 511, 949 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 255, 724, 511, 949. So, keep reading to learn more.
Given numbers are 255,724,511,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 255,724,511,949 is 1226430660.
Find LCM of 255,724,511,949 with Prime Factorization
73 | 255, 724, 511, 949 |
255, 724, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
73 x 255 x 724 x 7 x 13 = 1226430660
Therefore, the lowest common multiple of 255,724,511,949 is 1226430660.
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.
255 x 724 x 511 x 949 = 89529438180
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.
255 : 1, 3, 5, 15, 17, 51, 85, 255
724 : 1, 2, 4, 181, 362, 724
511 : 1, 7, 73, 511
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,724,511,949, is 1.
Now, the common factors can be found like this.
255:3x 5x 17
724:2x 2x 181
511:7x 73
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
73 = 73
Therefore, the value for common factors is 73.
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 = 89529438180/(1x73)
LCM = 89529438180/73
LCM = 1226430660
Thus, we can understand that the LCM of 255,724,511,949 is 1226430660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 255, 724, 511, 949?
Answer: LCM of 255, 724, 511, 949 is 1226430660.
2. How to calculate the LCM of 255, 724, 511, 949?
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 255, 724, 511, 949.
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}.