LCM of 565, 309, 728, 596, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 309, 728, 596, 309 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 565, 309, 728, 596, 309. So, keep reading to learn more.
Given numbers are 565,309,728,596,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,309,728,596,309 is 18937584120.
Find LCM of 565,309,728,596,309 with Prime Factorization
| 2 | 565, 309, 728, 596, 309 |
| 2 | 565, 309, 364, 298, 309 |
| 3 | 565, 309, 182, 149, 309 |
| 103 | 565, 103, 182, 149, 103 |
| 565, 1, 182, 149, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 103 x 565 x 1 x 182 x 149 x 1 = 18937584120
Therefore, the lowest common multiple of 565,309,728,596,309 is 18937584120.
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.
565 x 309 x 728 x 596 x 309 = 23406853972320
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.
565 : 1, 5, 113, 565
309 : 1, 3, 103, 309
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
596 : 1, 2, 4, 149, 298, 596
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,309,728,596,309, is 1.
Now, the common factors can be found like this.
565:5x 113
309:3x 103
728:2x 2x 2x 7x 13
596:2x 2x 149
309:3x 103
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 3x 103 = 1236
Therefore, the value for common factors is 1236.
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 = 23406853972320/(1x1236)
LCM = 23406853972320/1236
LCM = 18937584120
Thus, we can understand that the LCM of 565,309,728,596,309 is 18937584120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 565, 309, 728, 596, 309
1. What is the LCM of 565, 309, 728, 596, 309?
Answer: LCM of 565, 309, 728, 596, 309 is 18937584120.
2. How to calculate the LCM of 565, 309, 728, 596, 309?
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 565, 309, 728, 596, 309.
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}.