Find the LCM of 878, 229, 845, 872, 987 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, 229, 845, 872, 987. So, keep reading to learn more.
Given numbers are 878,229,845,872,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,229,845,872,987 is 73112283633480.
Find LCM of 878,229,845,872,987 with Prime Factorization
2 | 878, 229, 845, 872, 987 |
439, 229, 845, 436, 987 |
Multiply the prime numbers at the bottom and the left side.
2 x 439 x 229 x 845 x 436 x 987 = 73112283633480
Therefore, the lowest common multiple of 878,229,845,872,987 is 73112283633480.
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 229 x 845 x 872 x 987 = 146224567266960
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
229 : 1, 229
845 : 1, 5, 13, 65, 169, 845
872 : 1, 2, 4, 8, 109, 218, 436, 872
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,229,845,872,987, is 1.
Now, the common factors can be found like this.
878:2x 439
229:229
845:5x 13x 13
872:2x 2x 2x 109
987:3x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 146224567266960/(1x2)
LCM = 146224567266960/2
LCM = 73112283633480
Thus, we can understand that the LCM of 878,229,845,872,987 is 73112283633480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 878, 229, 845, 872, 987?
Answer: LCM of 878, 229, 845, 872, 987 is 73112283633480.
2. How to calculate the LCM of 878, 229, 845, 872, 987?
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, 229, 845, 872, 987.
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}.