Find the LCM of 880, 343, 403, 116, 728 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 880, 343, 403, 116, 728. So, keep reading to learn more.
Given numbers are 880,343,403,116,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,343,403,116,728 is 3527604080.
Find LCM of 880,343,403,116,728 with Prime Factorization
2 | 880, 343, 403, 116, 728 |
2 | 440, 343, 403, 58, 364 |
2 | 220, 343, 403, 29, 182 |
7 | 110, 343, 403, 29, 91 |
13 | 110, 49, 403, 29, 13 |
110, 49, 31, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 13 x 110 x 49 x 31 x 29 x 1 = 3527604080
Therefore, the lowest common multiple of 880,343,403,116,728 is 3527604080.
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.
880 x 343 x 403 x 116 x 728 = 10272383080960
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
343 : 1, 7, 49, 343
403 : 1, 13, 31, 403
116 : 1, 2, 4, 29, 58, 116
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,343,403,116,728, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
343:7x 7x 7
403:13x 31
116:2x 2x 29
728:2x 2x 2x 7x 13
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 2x 7x 13 = 2912
Therefore, the value for common factors is 2912.
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 = 10272383080960/(1x2912)
LCM = 10272383080960/2912
LCM = 3527604080
Thus, we can understand that the LCM of 880,343,403,116,728 is 3527604080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 880, 343, 403, 116, 728?
Answer: LCM of 880, 343, 403, 116, 728 is 3527604080.
2. How to calculate the LCM of 880, 343, 403, 116, 728?
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 880, 343, 403, 116, 728.
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}.