Find the LCM of 845, 578, 780, 479, 125 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 845, 578, 780, 479, 125. So, keep reading to learn more.
Given numbers are 845,578,780,479,125
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,578,780,479,125 is 35092258500.
Find LCM of 845,578,780,479,125 with Prime Factorization
2 | 845, 578, 780, 479, 125 |
5 | 845, 289, 390, 479, 125 |
13 | 169, 289, 78, 479, 25 |
13, 289, 6, 479, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 13 x 289 x 6 x 479 x 25 = 35092258500
Therefore, the lowest common multiple of 845,578,780,479,125 is 35092258500.
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.
845 x 578 x 780 x 479 x 125 = 22809968025000
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.
845 : 1, 5, 13, 65, 169, 845
578 : 1, 2, 17, 34, 289, 578
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
479 : 1, 479
125 : 1, 5, 25, 125
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,578,780,479,125, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
578:2x 17x 17
780:2x 2x 3x 5x 13
479:479
125:5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 13 = 650
Therefore, the value for common factors is 650.
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 = 22809968025000/(1x650)
LCM = 22809968025000/650
LCM = 35092258500
Thus, we can understand that the LCM of 845,578,780,479,125 is 35092258500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 845, 578, 780, 479, 125?
Answer: LCM of 845, 578, 780, 479, 125 is 35092258500.
2. How to calculate the LCM of 845, 578, 780, 479, 125?
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 845, 578, 780, 479, 125.
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}.