LCM of 880, 324, 363, 220, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 324, 363, 220, 416 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 880, 324, 363, 220, 416. So, keep reading to learn more.
Given numbers are 880,324,363,220,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,324,363,220,416 is 20386080.
Find LCM of 880,324,363,220,416 with Prime Factorization
| 2 | 880, 324, 363, 220, 416 |
| 2 | 440, 162, 363, 110, 208 |
| 2 | 220, 81, 363, 55, 104 |
| 2 | 110, 81, 363, 55, 52 |
| 3 | 55, 81, 363, 55, 26 |
| 5 | 55, 27, 121, 55, 26 |
| 11 | 11, 27, 121, 11, 26 |
| 1, 27, 1, 11, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 11 x 1 x 27 x 1 x 11 x 26 = 20386080
Therefore, the lowest common multiple of 880,324,363,220,416 is 20386080.
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.
880 x 324 x 363 x 220 x 416 = 9472188211200
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
363 : 1, 3, 11, 33, 121, 363
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,324,363,220,416, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
324:2x 2x 3x 3x 3x 3
363:3x 11x 11
220:2x 2x 5x 11
416:2x 2x 2x 2x 2x 13
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 2x 3x 5x 11x 11 = 464640
Therefore, the value for common factors is 464640.
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 = 9472188211200/(1x464640)
LCM = 9472188211200/464640
LCM = 20386080
Thus, we can understand that the LCM of 880,324,363,220,416 is 20386080.
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FAQs on LCM of 880, 324, 363, 220, 416
1. What is the LCM of 880, 324, 363, 220, 416?
Answer: LCM of 880, 324, 363, 220, 416 is 20386080.
2. How to calculate the LCM of 880, 324, 363, 220, 416?
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 880, 324, 363, 220, 416.
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}.