LCM of 721, 312, 455, 515, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 312, 455, 515, 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 721, 312, 455, 515, 309. So, keep reading to learn more.
Given numbers are 721,312,455,515,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,312,455,515,309 is 1124760.
Find LCM of 721,312,455,515,309 with Prime Factorization
| 3 | 721, 312, 455, 515, 309 |
| 5 | 721, 104, 455, 515, 103 |
| 7 | 721, 104, 91, 103, 103 |
| 13 | 103, 104, 13, 103, 103 |
| 103 | 103, 8, 1, 103, 103 |
| 1, 8, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 13 x 103 x 1 x 8 x 1 x 1 x 1 = 1124760
Therefore, the lowest common multiple of 721,312,455,515,309 is 1124760.
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.
721 x 312 x 455 x 515 x 309 = 16287970116600
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.
721 : 1, 7, 103, 721
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
455 : 1, 5, 7, 13, 35, 65, 91, 455
515 : 1, 5, 103, 515
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,312,455,515,309, is 1.
Now, the common factors can be found like this.
721:7x 103
312:2x 2x 2x 3x 13
455:5x 7x 13
515:5x 103
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.
3x 5x 7x 13x 103x 103 = 14481285
Therefore, the value for common factors is 14481285.
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 = 16287970116600/(1x14481285)
LCM = 16287970116600/14481285
LCM = 1124760
Thus, we can understand that the LCM of 721,312,455,515,309 is 1124760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 721, 312, 455, 515, 309
1. What is the LCM of 721, 312, 455, 515, 309?
Answer: LCM of 721, 312, 455, 515, 309 is 1124760.
2. How to calculate the LCM of 721, 312, 455, 515, 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 721, 312, 455, 515, 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}.