Find the LCM of 503, 180, 780, 226, 678 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 503, 180, 780, 226, 678. So, keep reading to learn more.
Given numbers are 503,180,780,226,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 503,180,780,226,678 is 133003260.
Find LCM of 503,180,780,226,678 with Prime Factorization
2 | 503, 180, 780, 226, 678 |
2 | 503, 90, 390, 113, 339 |
3 | 503, 45, 195, 113, 339 |
5 | 503, 15, 65, 113, 113 |
113 | 503, 3, 13, 113, 113 |
503, 3, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 113 x 503 x 3 x 13 x 1 x 1 = 133003260
Therefore, the lowest common multiple of 503,180,780,226,678 is 133003260.
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.
503 x 180 x 780 x 226 x 678 = 10821145233600
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.
503 : 1, 503
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
226 : 1, 2, 113, 226
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,180,780,226,678, is 1.
Now, the common factors can be found like this.
503:503
180:2x 2x 3x 3x 5
780:2x 2x 3x 5x 13
226:2x 113
678:2x 3x 113
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 3x 3x 5x 113 = 81360
Therefore, the value for common factors is 81360.
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 = 10821145233600/(1x81360)
LCM = 10821145233600/81360
LCM = 133003260
Thus, we can understand that the LCM of 503,180,780,226,678 is 133003260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 503, 180, 780, 226, 678?
Answer: LCM of 503, 180, 780, 226, 678 is 133003260.
2. How to calculate the LCM of 503, 180, 780, 226, 678?
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 503, 180, 780, 226, 678.
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}.