Find the LCM of 884, 952, 920, 514 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, 952, 920, 514. So, keep reading to learn more.
Given numbers are 884,952,920,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,952,920,514 is 365772680.
Find LCM of 884,952,920,514 with Prime Factorization
2 | 884, 952, 920, 514 |
2 | 442, 476, 460, 257 |
2 | 221, 238, 230, 257 |
17 | 221, 119, 115, 257 |
13, 7, 115, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 13 x 7 x 115 x 257 = 365772680
Therefore, the lowest common multiple of 884,952,920,514 is 365772680.
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 952 x 920 x 514 = 397960675840
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
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
514 : 1, 2, 257, 514
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,952,920,514, is 2.
Now, the common factors can be found like this.
884:2x 2x 13x 17
952:2x 2x 2x 7x 17
920:2x 2x 2x 5x 23
514:2x 257
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 2x 17 = 544
Therefore, the value for common factors is 544.
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 = 397960675840/(2x544)
LCM = 397960675840/1088
LCM = 365772680
Thus, we can understand that the LCM of 884,952,920,514 is 365772680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 884, 952, 920, 514?
Answer: LCM of 884, 952, 920, 514 is 365772680.
2. How to calculate the LCM of 884, 952, 920, 514?
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, 952, 920, 514.
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}.