Find the LCM of 728, 926, 110, 988, 832 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, 926, 110, 988, 832. So, keep reading to learn more.
Given numbers are 728,926,110,988,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,926,110,988,832 is 2817855040.
Find LCM of 728,926,110,988,832 with Prime Factorization
2 | 728, 926, 110, 988, 832 |
2 | 364, 463, 55, 494, 416 |
2 | 182, 463, 55, 247, 208 |
13 | 91, 463, 55, 247, 104 |
7, 463, 55, 19, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 7 x 463 x 55 x 19 x 8 = 2817855040
Therefore, the lowest common multiple of 728,926,110,988,832 is 2817855040.
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 926 x 110 x 988 x 832 = 60955840225280
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
926 : 1, 2, 463, 926
110 : 1, 2, 5, 10, 11, 22, 55, 110
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,926,110,988,832, is 2.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
926:2x 463
110:2x 5x 11
988:2x 2x 13x 19
832:2x 2x 2x 2x 2x 2x 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 2x 13x 13 = 10816
Therefore, the value for common factors is 10816.
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 = 60955840225280/(2x10816)
LCM = 60955840225280/21632
LCM = 2817855040
Thus, we can understand that the LCM of 728,926,110,988,832 is 2817855040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 728, 926, 110, 988, 832?
Answer: LCM of 728, 926, 110, 988, 832 is 2817855040.
2. How to calculate the LCM of 728, 926, 110, 988, 832?
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, 926, 110, 988, 832.
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}.