LCM of 880, 908, 858, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 908, 858, 858 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, 908, 858, 858. So, keep reading to learn more.
Given numbers are 880,908,858,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,908,858,858 is 7790640.
Find LCM of 880,908,858,858 with Prime Factorization
| 2 | 880, 908, 858, 858 |
| 2 | 440, 454, 429, 429 |
| 3 | 220, 227, 429, 429 |
| 11 | 220, 227, 143, 143 |
| 13 | 20, 227, 13, 13 |
| 20, 227, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 20 x 227 x 1 x 1 = 7790640
Therefore, the lowest common multiple of 880,908,858,858 is 7790640.
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 908 x 858 x 858 = 588224482560
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
908 : 1, 2, 4, 227, 454, 908
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,908,858,858, is 2.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
908:2x 2x 227
858:2x 3x 11x 13
858:2x 3x 11x 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 3x 11x 11x 13 = 37752
Therefore, the value for common factors is 37752.
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 = 588224482560/(2x37752)
LCM = 588224482560/75504
LCM = 7790640
Thus, we can understand that the LCM of 880,908,858,858 is 7790640.
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FAQs on LCM of 880, 908, 858, 858
1. What is the LCM of 880, 908, 858, 858?
Answer: LCM of 880, 908, 858, 858 is 7790640.
2. How to calculate the LCM of 880, 908, 858, 858?
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, 908, 858, 858.
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}.