Find the LCM of 780, 571, 659, 240, 804 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, 571, 659, 240, 804. So, keep reading to learn more.
Given numbers are 780,571,659,240,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,571,659,240,804 is 78659452560.
Find LCM of 780,571,659,240,804 with Prime Factorization
2 | 780, 571, 659, 240, 804 |
2 | 390, 571, 659, 120, 402 |
3 | 195, 571, 659, 60, 201 |
5 | 65, 571, 659, 20, 67 |
13, 571, 659, 4, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 571 x 659 x 4 x 67 = 78659452560
Therefore, the lowest common multiple of 780,571,659,240,804 is 78659452560.
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 571 x 659 x 240 x 804 = 56634805843200
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
571 : 1, 571
659 : 1, 659
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,571,659,240,804, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
571:571
659:659
240:2x 2x 2x 2x 3x 5
804:2x 2x 3x 67
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 5 = 720
Therefore, the value for common factors is 720.
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 = 56634805843200/(1x720)
LCM = 56634805843200/720
LCM = 78659452560
Thus, we can understand that the LCM of 780,571,659,240,804 is 78659452560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 780, 571, 659, 240, 804?
Answer: LCM of 780, 571, 659, 240, 804 is 78659452560.
2. How to calculate the LCM of 780, 571, 659, 240, 804?
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, 571, 659, 240, 804.
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}.