LCM of 880, 309, 888, 400, 433
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 309, 888, 400, 433 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, 309, 888, 400, 433. So, keep reading to learn more.
Given numbers are 880,309,888,400,433
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,309,888,400,433 is 21782151600.
Find LCM of 880,309,888,400,433 with Prime Factorization
| 2 | 880, 309, 888, 400, 433 |
| 2 | 440, 309, 444, 200, 433 |
| 2 | 220, 309, 222, 100, 433 |
| 2 | 110, 309, 111, 50, 433 |
| 3 | 55, 309, 111, 25, 433 |
| 5 | 55, 103, 37, 25, 433 |
| 11, 103, 37, 5, 433 |
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 103 x 37 x 5 x 433 = 21782151600
Therefore, the lowest common multiple of 880,309,888,400,433 is 21782151600.
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 309 x 888 x 400 x 433 = 41821731072000
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
309 : 1, 3, 103, 309
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
433 : 1, 433
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,309,888,400,433, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
309:3x 103
888:2x 2x 2x 3x 37
400:2x 2x 2x 2x 5x 5
433:433
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 = 41821731072000/(1x1920)
LCM = 41821731072000/1920
LCM = 21782151600
Thus, we can understand that the LCM of 880,309,888,400,433 is 21782151600.
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FAQs on LCM of 880, 309, 888, 400, 433
1. What is the LCM of 880, 309, 888, 400, 433?
Answer: LCM of 880, 309, 888, 400, 433 is 21782151600.
2. How to calculate the LCM of 880, 309, 888, 400, 433?
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, 309, 888, 400, 433.
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}.