Find the LCM of 884, 612, 892, 815 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 884, 612, 892, 815. So, keep reading to learn more.
Given numbers are 884,612,892,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,612,892,815 is 1445963220.
Find LCM of 884,612,892,815 with Prime Factorization
2 | 884, 612, 892, 815 |
2 | 442, 306, 446, 815 |
17 | 221, 153, 223, 815 |
13, 9, 223, 815 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 13 x 9 x 223 x 815 = 1445963220
Therefore, the lowest common multiple of 884,612,892,815 is 1445963220.
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.
884 x 612 x 892 x 815 = 393301995840
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
892 : 1, 2, 4, 223, 446, 892
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,612,892,815, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
612:2x 2x 3x 3x 17
892:2x 2x 223
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 17 = 272
Therefore, the value for common factors is 272.
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 = 393301995840/(1x272)
LCM = 393301995840/272
LCM = 1445963220
Thus, we can understand that the LCM of 884,612,892,815 is 1445963220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 884, 612, 892, 815?
Answer: LCM of 884, 612, 892, 815 is 1445963220.
2. How to calculate the LCM of 884, 612, 892, 815?
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 884, 612, 892, 815.
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}.