LCM of 416, 246, 720, 829, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 246, 720, 829, 860 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 416, 246, 720, 829, 860. So, keep reading to learn more.
Given numbers are 416,246,720,829,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,246,720,829,860 is 27359785440.
Find LCM of 416,246,720,829,860 with Prime Factorization
| 2 | 416, 246, 720, 829, 860 |
| 2 | 208, 123, 360, 829, 430 |
| 2 | 104, 123, 180, 829, 215 |
| 2 | 52, 123, 90, 829, 215 |
| 3 | 26, 123, 45, 829, 215 |
| 5 | 26, 41, 15, 829, 215 |
| 26, 41, 3, 829, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 26 x 41 x 3 x 829 x 43 = 27359785440
Therefore, the lowest common multiple of 416,246,720,829,860 is 27359785440.
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.
416 x 246 x 720 x 829 x 860 = 52530788044800
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
246 : 1, 2, 3, 6, 41, 82, 123, 246
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
829 : 1, 829
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,246,720,829,860, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
246:2x 3x 41
720:2x 2x 2x 2x 3x 3x 5
829:829
860:2x 2x 5x 43
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 5 = 1920
Therefore, the value for common factors is 1920.
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 = 52530788044800/(1x1920)
LCM = 52530788044800/1920
LCM = 27359785440
Thus, we can understand that the LCM of 416,246,720,829,860 is 27359785440.
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FAQs on LCM of 416, 246, 720, 829, 860
1. What is the LCM of 416, 246, 720, 829, 860?
Answer: LCM of 416, 246, 720, 829, 860 is 27359785440.
2. How to calculate the LCM of 416, 246, 720, 829, 860?
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 416, 246, 720, 829, 860.
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}.