Find the LCM of 508, 110, 949, 511 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 508, 110, 949, 511. So, keep reading to learn more.
Given numbers are 508,110,949,511
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,110,949,511 is 185605420.
Find LCM of 508,110,949,511 with Prime Factorization
2 | 508, 110, 949, 511 |
73 | 254, 55, 949, 511 |
254, 55, 13, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 73 x 254 x 55 x 13 x 7 = 185605420
Therefore, the lowest common multiple of 508,110,949,511 is 185605420.
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.
508 x 110 x 949 x 511 = 27098391320
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.
508 : 1, 2, 4, 127, 254, 508
110 : 1, 2, 5, 10, 11, 22, 55, 110
949 : 1, 13, 73, 949
511 : 1, 7, 73, 511
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,110,949,511, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
110:2x 5x 11
949:13x 73
511:7x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 73 = 146
Therefore, the value for common factors is 146.
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 = 27098391320/(1x146)
LCM = 27098391320/146
LCM = 185605420
Thus, we can understand that the LCM of 508,110,949,511 is 185605420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 110, 949, 511?
Answer: LCM of 508, 110, 949, 511 is 185605420.
2. How to calculate the LCM of 508, 110, 949, 511?
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 508, 110, 949, 511.
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}.