Find the LCM of 728, 754, 468, 954, 904 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 728, 754, 468, 954, 904. So, keep reading to learn more.
Given numbers are 728,754,468,954,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,754,468,954,904 is 1137957912.
Find LCM of 728,754,468,954,904 with Prime Factorization
2 | 728, 754, 468, 954, 904 |
2 | 364, 377, 234, 477, 452 |
2 | 182, 377, 117, 477, 226 |
3 | 91, 377, 117, 477, 113 |
3 | 91, 377, 39, 159, 113 |
13 | 91, 377, 13, 53, 113 |
7, 29, 1, 53, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 7 x 29 x 1 x 53 x 113 = 1137957912
Therefore, the lowest common multiple of 728,754,468,954,904 is 1137957912.
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.
728 x 754 x 468 x 954 x 904 = 221546749971456
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
754 : 1, 2, 13, 26, 29, 58, 377, 754
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
904 : 1, 2, 4, 8, 113, 226, 452, 904
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,754,468,954,904, is 2.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
754:2x 13x 29
468:2x 2x 3x 3x 13
954:2x 3x 3x 53
904:2x 2x 2x 113
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 2x 3x 3x 13x 13 = 97344
Therefore, the value for common factors is 97344.
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 = 221546749971456/(2x97344)
LCM = 221546749971456/194688
LCM = 1137957912
Thus, we can understand that the LCM of 728,754,468,954,904 is 1137957912.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 728, 754, 468, 954, 904?
Answer: LCM of 728, 754, 468, 954, 904 is 1137957912.
2. How to calculate the LCM of 728, 754, 468, 954, 904?
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 728, 754, 468, 954, 904.
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}.