LCM of 309, 531, 590, 816, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 531, 590, 816, 284 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 309, 531, 590, 816, 284. So, keep reading to learn more.
Given numbers are 309,531,590,816,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,531,590,816,284 is 5281156080.
Find LCM of 309,531,590,816,284 with Prime Factorization
| 2 | 309, 531, 590, 816, 284 |
| 2 | 309, 531, 295, 408, 142 |
| 3 | 309, 531, 295, 204, 71 |
| 59 | 103, 177, 295, 68, 71 |
| 103, 3, 5, 68, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 103 x 3 x 5 x 68 x 71 = 5281156080
Therefore, the lowest common multiple of 309,531,590,816,284 is 5281156080.
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.
309 x 531 x 590 x 816 x 284 = 22434351027840
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.
309 : 1, 3, 103, 309
531 : 1, 3, 9, 59, 177, 531
590 : 1, 2, 5, 10, 59, 118, 295, 590
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,531,590,816,284, is 1.
Now, the common factors can be found like this.
309:3x 103
531:3x 3x 59
590:2x 5x 59
816:2x 2x 2x 2x 3x 17
284:2x 2x 71
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 3x 3x 59 = 4248
Therefore, the value for common factors is 4248.
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 = 22434351027840/(1x4248)
LCM = 22434351027840/4248
LCM = 5281156080
Thus, we can understand that the LCM of 309,531,590,816,284 is 5281156080.
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FAQs on LCM of 309, 531, 590, 816, 284
1. What is the LCM of 309, 531, 590, 816, 284?
Answer: LCM of 309, 531, 590, 816, 284 is 5281156080.
2. How to calculate the LCM of 309, 531, 590, 816, 284?
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 309, 531, 590, 816, 284.
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}.