Find the LCM of 685, 899, 260, 489, 945 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 685, 899, 260, 489, 945. So, keep reading to learn more.
Given numbers are 685,899,260,489,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,899,260,489,945 is 986513460660.
Find LCM of 685,899,260,489,945 with Prime Factorization
3 | 685, 899, 260, 489, 945 |
5 | 685, 899, 260, 163, 315 |
137, 899, 52, 163, 63 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 137 x 899 x 52 x 163 x 63 = 986513460660
Therefore, the lowest common multiple of 685,899,260,489,945 is 986513460660.
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.
685 x 899 x 260 x 489 x 945 = 73988509549500
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.
685 : 1, 5, 137, 685
899 : 1, 29, 31, 899
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
489 : 1, 3, 163, 489
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,899,260,489,945, is 1.
Now, the common factors can be found like this.
685:5x 137
899:29x 31
260:2x 2x 5x 13
489:3x 163
945:3x 3x 3x 5x 7
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 5 = 75
Therefore, the value for common factors is 75.
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 = 73988509549500/(1x75)
LCM = 73988509549500/75
LCM = 986513460660
Thus, we can understand that the LCM of 685,899,260,489,945 is 986513460660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 685, 899, 260, 489, 945?
Answer: LCM of 685, 899, 260, 489, 945 is 986513460660.
2. How to calculate the LCM of 685, 899, 260, 489, 945?
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 685, 899, 260, 489, 945.
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}.