LCM of 828, 909, 793, 780, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 909, 793, 780, 468 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 828, 909, 793, 780, 468. So, keep reading to learn more.
Given numbers are 828,909,793,780,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,909,793,780,468 is 331585020.
Find LCM of 828,909,793,780,468 with Prime Factorization
| 2 | 828, 909, 793, 780, 468 |
| 2 | 414, 909, 793, 390, 234 |
| 3 | 207, 909, 793, 195, 117 |
| 3 | 69, 303, 793, 65, 39 |
| 13 | 23, 101, 793, 65, 13 |
| 23, 101, 61, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 23 x 101 x 61 x 5 x 1 = 331585020
Therefore, the lowest common multiple of 828,909,793,780,468 is 331585020.
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.
828 x 909 x 793 x 780 x 468 = 217875232261440
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
909 : 1, 3, 9, 101, 303, 909
793 : 1, 13, 61, 793
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,909,793,780,468, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
909:3x 3x 101
793:13x 61
780:2x 2x 3x 5x 13
468:2x 2x 3x 3x 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 3x 3x 3x 3x 3x 13x 13 = 657072
Therefore, the value for common factors is 657072.
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 = 217875232261440/(1x657072)
LCM = 217875232261440/657072
LCM = 331585020
Thus, we can understand that the LCM of 828,909,793,780,468 is 331585020.
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FAQs on LCM of 828, 909, 793, 780, 468
1. What is the LCM of 828, 909, 793, 780, 468?
Answer: LCM of 828, 909, 793, 780, 468 is 331585020.
2. How to calculate the LCM of 828, 909, 793, 780, 468?
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 828, 909, 793, 780, 468.
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}.