LCM of 829, 723, 728, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 829, 723, 728, 408 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 829, 723, 728, 408. So, keep reading to learn more.
Given numbers are 829,723,728,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,723,728,408 is 7417765992.
Find LCM of 829,723,728,408 with Prime Factorization
| 2 | 829, 723, 728, 408 |
| 2 | 829, 723, 364, 204 |
| 2 | 829, 723, 182, 102 |
| 3 | 829, 723, 91, 51 |
| 829, 241, 91, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 829 x 241 x 91 x 17 = 7417765992
Therefore, the lowest common multiple of 829,723,728,408 is 7417765992.
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.
829 x 723 x 728 x 408 = 178026383808
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.
829 : 1, 829
723 : 1, 3, 241, 723
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,723,728,408, is 1.
Now, the common factors can be found like this.
829:829
723:3x 241
728:2x 2x 2x 7x 13
408:2x 2x 2x 3x 17
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 3 = 24
Therefore, the value for common factors is 24.
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 = 178026383808/(1x24)
LCM = 178026383808/24
LCM = 7417765992
Thus, we can understand that the LCM of 829,723,728,408 is 7417765992.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 829, 723, 728, 408
1. What is the LCM of 829, 723, 728, 408?
Answer: LCM of 829, 723, 728, 408 is 7417765992.
2. How to calculate the LCM of 829, 723, 728, 408?
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 829, 723, 728, 408.
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}.