Find the LCM of 879, 889, 508, 461 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 879, 889, 508, 461. So, keep reading to learn more.
Given numbers are 879,889,508,461
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,889,508,461 is 1440958764.
Find LCM of 879,889,508,461 with Prime Factorization
127 | 879, 889, 508, 461 |
879, 7, 4, 461 |
Multiply the prime numbers at the bottom and the left side.
127 x 879 x 7 x 4 x 461 = 1440958764
Therefore, the lowest common multiple of 879,889,508,461 is 1440958764.
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.
879 x 889 x 508 x 461 = 183001763028
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.
879 : 1, 3, 293, 879
889 : 1, 7, 127, 889
508 : 1, 2, 4, 127, 254, 508
461 : 1, 461
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,889,508,461, is 1.
Now, the common factors can be found like this.
879:3x 293
889:7x 127
508:2x 2x 127
461:461
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
127 = 127
Therefore, the value for common factors is 127.
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 = 183001763028/(1x127)
LCM = 183001763028/127
LCM = 1440958764
Thus, we can understand that the LCM of 879,889,508,461 is 1440958764.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 879, 889, 508, 461?
Answer: LCM of 879, 889, 508, 461 is 1440958764.
2. How to calculate the LCM of 879, 889, 508, 461?
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 879, 889, 508, 461.
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}.