Find the LCM of 780, 574, 727, 378, 463 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 780, 574, 727, 378, 463. So, keep reading to learn more.
Given numbers are 780,574,727,378,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,574,727,378,463 is 678163498740.
Find LCM of 780,574,727,378,463 with Prime Factorization
2 | 780, 574, 727, 378, 463 |
3 | 390, 287, 727, 189, 463 |
7 | 130, 287, 727, 63, 463 |
130, 41, 727, 9, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 130 x 41 x 727 x 9 x 463 = 678163498740
Therefore, the lowest common multiple of 780,574,727,378,463 is 678163498740.
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.
780 x 574 x 727 x 378 x 463 = 56965733894160
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.
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
574 : 1, 2, 7, 14, 41, 82, 287, 574
727 : 1, 727
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,574,727,378,463, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
574:2x 7x 41
727:727
378:2x 3x 3x 3x 7
463:463
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 56965733894160/(1x84)
LCM = 56965733894160/84
LCM = 678163498740
Thus, we can understand that the LCM of 780,574,727,378,463 is 678163498740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 780, 574, 727, 378, 463?
Answer: LCM of 780, 574, 727, 378, 463 is 678163498740.
2. How to calculate the LCM of 780, 574, 727, 378, 463?
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 780, 574, 727, 378, 463.
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}.