Find the LCM of 878, 218, 361, 989, 316 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 878, 218, 361, 989, 316. So, keep reading to learn more.
Given numbers are 878,218,361,989,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,218,361,989,316 is 5398605518564.
Find LCM of 878,218,361,989,316 with Prime Factorization
2 | 878, 218, 361, 989, 316 |
439, 109, 361, 989, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 439 x 109 x 361 x 989 x 158 = 5398605518564
Therefore, the lowest common multiple of 878,218,361,989,316 is 5398605518564.
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.
878 x 218 x 361 x 989 x 316 = 21594422074256
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.
878 : 1, 2, 439, 878
218 : 1, 2, 109, 218
361 : 1, 19, 361
989 : 1, 23, 43, 989
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,218,361,989,316, is 1.
Now, the common factors can be found like this.
878:2x 439
218:2x 109
361:19x 19
989:23x 43
316:2x 2x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 21594422074256/(1x4)
LCM = 21594422074256/4
LCM = 5398605518564
Thus, we can understand that the LCM of 878,218,361,989,316 is 5398605518564.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 878, 218, 361, 989, 316?
Answer: LCM of 878, 218, 361, 989, 316 is 5398605518564.
2. How to calculate the LCM of 878, 218, 361, 989, 316?
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 878, 218, 361, 989, 316.
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}.