Find the LCM of 625, 113, 678, 585 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 625, 113, 678, 585. So, keep reading to learn more.
Given numbers are 625,113,678,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,113,678,585 is 16526250.
Find LCM of 625,113,678,585 with Prime Factorization
3 | 625, 113, 678, 585 |
5 | 625, 113, 226, 195 |
113 | 125, 113, 226, 39 |
125, 1, 2, 39 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 113 x 125 x 1 x 2 x 39 = 16526250
Therefore, the lowest common multiple of 625,113,678,585 is 16526250.
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.
625 x 113 x 678 x 585 = 28011993750
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.
625 : 1, 5, 25, 125, 625
113 : 1, 113
678 : 1, 2, 3, 6, 113, 226, 339, 678
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,113,678,585, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
113:113
678:2x 3x 113
585:3x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 113 = 1695
Therefore, the value for common factors is 1695.
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 = 28011993750/(1x1695)
LCM = 28011993750/1695
LCM = 16526250
Thus, we can understand that the LCM of 625,113,678,585 is 16526250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 625, 113, 678, 585?
Answer: LCM of 625, 113, 678, 585 is 16526250.
2. How to calculate the LCM of 625, 113, 678, 585?
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 625, 113, 678, 585.
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}.