Find the LCM of 917, 880, 685, 923, 321 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 917, 880, 685, 923, 321. So, keep reading to learn more.
Given numbers are 917,880,685,923,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,880,685,923,321 is 32755128566160.
Find LCM of 917,880,685,923,321 with Prime Factorization
5 | 917, 880, 685, 923, 321 |
917, 176, 137, 923, 321 |
Multiply the prime numbers at the bottom and the left side.
5 x 917 x 176 x 137 x 923 x 321 = 32755128566160
Therefore, the lowest common multiple of 917,880,685,923,321 is 32755128566160.
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.
917 x 880 x 685 x 923 x 321 = 163775642830800
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.
917 : 1, 7, 131, 917
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
685 : 1, 5, 137, 685
923 : 1, 13, 71, 923
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,880,685,923,321, is 1.
Now, the common factors can be found like this.
917:7x 131
880:2x 2x 2x 2x 5x 11
685:5x 137
923:13x 71
321:3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 163775642830800/(1x5)
LCM = 163775642830800/5
LCM = 32755128566160
Thus, we can understand that the LCM of 917,880,685,923,321 is 32755128566160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 917, 880, 685, 923, 321?
Answer: LCM of 917, 880, 685, 923, 321 is 32755128566160.
2. How to calculate the LCM of 917, 880, 685, 923, 321?
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 917, 880, 685, 923, 321.
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}.