Find the LCM of 920, 272, 969, 717, 503 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 920, 272, 969, 717, 503. So, keep reading to learn more.
Given numbers are 920,272,969,717,503
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,272,969,717,503 is 214342102320.
Find LCM of 920,272,969,717,503 with Prime Factorization
2 | 920, 272, 969, 717, 503 |
2 | 460, 136, 969, 717, 503 |
2 | 230, 68, 969, 717, 503 |
3 | 115, 34, 969, 717, 503 |
17 | 115, 34, 323, 239, 503 |
115, 2, 19, 239, 503 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 115 x 2 x 19 x 239 x 503 = 214342102320
Therefore, the lowest common multiple of 920,272,969,717,503 is 214342102320.
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.
920 x 272 x 969 x 717 x 503 = 87451577746560
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
969 : 1, 3, 17, 19, 51, 57, 323, 969
717 : 1, 3, 239, 717
503 : 1, 503
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,272,969,717,503, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
272:2x 2x 2x 2x 17
969:3x 17x 19
717:3x 239
503:503
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 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 87451577746560/(1x408)
LCM = 87451577746560/408
LCM = 214342102320
Thus, we can understand that the LCM of 920,272,969,717,503 is 214342102320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 920, 272, 969, 717, 503?
Answer: LCM of 920, 272, 969, 717, 503 is 214342102320.
2. How to calculate the LCM of 920, 272, 969, 717, 503?
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 920, 272, 969, 717, 503.
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}.