LCM of 305, 984, 580, 646, 246
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 984, 580, 646, 246 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 305, 984, 580, 646, 246. So, keep reading to learn more.
Given numbers are 305,984,580,646,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,984,580,646,246 is 2811224040.
Find LCM of 305,984,580,646,246 with Prime Factorization
| 2 | 305, 984, 580, 646, 246 |
| 2 | 305, 492, 290, 323, 123 |
| 3 | 305, 246, 145, 323, 123 |
| 5 | 305, 82, 145, 323, 41 |
| 41 | 61, 82, 29, 323, 41 |
| 61, 2, 29, 323, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 61 x 2 x 29 x 323 x 1 = 2811224040
Therefore, the lowest common multiple of 305,984,580,646,246 is 2811224040.
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.
305 x 984 x 580 x 646 x 246 = 27662444553600
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.
305 : 1, 5, 61, 305
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
646 : 1, 2, 17, 19, 34, 38, 323, 646
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,984,580,646,246, is 1.
Now, the common factors can be found like this.
305:5x 61
984:2x 2x 2x 3x 41
580:2x 2x 5x 29
646:2x 17x 19
246:2x 3x 41
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 5x 41 = 9840
Therefore, the value for common factors is 9840.
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 = 27662444553600/(1x9840)
LCM = 27662444553600/9840
LCM = 2811224040
Thus, we can understand that the LCM of 305,984,580,646,246 is 2811224040.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 305, 984, 580, 646, 246
1. What is the LCM of 305, 984, 580, 646, 246?
Answer: LCM of 305, 984, 580, 646, 246 is 2811224040.
2. How to calculate the LCM of 305, 984, 580, 646, 246?
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 305, 984, 580, 646, 246.
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}.