LCM of 455, 584, 421, 309, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 455, 584, 421, 309, 816 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 455, 584, 421, 309, 816. So, keep reading to learn more.
Given numbers are 455,584,421,309,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,584,421,309,816 is 1175286468720.
Find LCM of 455,584,421,309,816 with Prime Factorization
| 2 | 455, 584, 421, 309, 816 |
| 2 | 455, 292, 421, 309, 408 |
| 2 | 455, 146, 421, 309, 204 |
| 3 | 455, 73, 421, 309, 102 |
| 455, 73, 421, 103, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 455 x 73 x 421 x 103 x 34 = 1175286468720
Therefore, the lowest common multiple of 455,584,421,309,816 is 1175286468720.
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.
455 x 584 x 421 x 309 x 816 = 28206875249280
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
584 : 1, 2, 4, 8, 73, 146, 292, 584
421 : 1, 421
309 : 1, 3, 103, 309
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,584,421,309,816, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
584:2x 2x 2x 73
421:421
309:3x 103
816:2x 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 = 28206875249280/(1x24)
LCM = 28206875249280/24
LCM = 1175286468720
Thus, we can understand that the LCM of 455,584,421,309,816 is 1175286468720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 455, 584, 421, 309, 816
1. What is the LCM of 455, 584, 421, 309, 816?
Answer: LCM of 455, 584, 421, 309, 816 is 1175286468720.
2. How to calculate the LCM of 455, 584, 421, 309, 816?
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 455, 584, 421, 309, 816.
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}.