LCM of 304, 816, 180, 963, 570
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 816, 180, 963, 570 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 304, 816, 180, 963, 570. So, keep reading to learn more.
Given numbers are 304,816,180,963,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,816,180,963,570 is 24883920.
Find LCM of 304,816,180,963,570 with Prime Factorization
| 2 | 304, 816, 180, 963, 570 |
| 2 | 152, 408, 90, 963, 285 |
| 2 | 76, 204, 45, 963, 285 |
| 2 | 38, 102, 45, 963, 285 |
| 3 | 19, 51, 45, 963, 285 |
| 3 | 19, 17, 15, 321, 95 |
| 5 | 19, 17, 5, 107, 95 |
| 19 | 19, 17, 1, 107, 19 |
| 1, 17, 1, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 x 1 x 17 x 1 x 107 x 1 = 24883920
Therefore, the lowest common multiple of 304,816,180,963,570 is 24883920.
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.
304 x 816 x 180 x 963 x 570 = 24509665843200
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
963 : 1, 3, 9, 107, 321, 963
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,816,180,963,570, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
816:2x 2x 2x 2x 3x 17
180:2x 2x 3x 3x 5
963:3x 3x 107
570:2x 3x 5x 19
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 2x 2x 2x 3x 3x 3x 3x 5x 19 = 984960
Therefore, the value for common factors is 984960.
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 = 24509665843200/(1x984960)
LCM = 24509665843200/984960
LCM = 24883920
Thus, we can understand that the LCM of 304,816,180,963,570 is 24883920.
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FAQs on LCM of 304, 816, 180, 963, 570
1. What is the LCM of 304, 816, 180, 963, 570?
Answer: LCM of 304, 816, 180, 963, 570 is 24883920.
2. How to calculate the LCM of 304, 816, 180, 963, 570?
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 304, 816, 180, 963, 570.
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}.