LCM of 908, 182, 904, 107, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 908, 182, 904, 107, 448 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 908, 182, 904, 107, 448. So, keep reading to learn more.
Given numbers are 908,182,904,107,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 908,182,904,107,448 is 15984882368.
Find LCM of 908,182,904,107,448 with Prime Factorization
| 2 | 908, 182, 904, 107, 448 |
| 2 | 454, 91, 452, 107, 224 |
| 2 | 227, 91, 226, 107, 112 |
| 7 | 227, 91, 113, 107, 56 |
| 227, 13, 113, 107, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 227 x 13 x 113 x 107 x 8 = 15984882368
Therefore, the lowest common multiple of 908,182,904,107,448 is 15984882368.
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.
908 x 182 x 904 x 107 x 448 = 7161227300864
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.
908 : 1, 2, 4, 227, 454, 908
182 : 1, 2, 7, 13, 14, 26, 91, 182
904 : 1, 2, 4, 8, 113, 226, 452, 904
107 : 1, 107
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,182,904,107,448, is 1.
Now, the common factors can be found like this.
908:2x 2x 227
182:2x 7x 13
904:2x 2x 2x 113
107:107
448:2x 2x 2x 2x 2x 2x 7
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 7 = 448
Therefore, the value for common factors is 448.
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 = 7161227300864/(1x448)
LCM = 7161227300864/448
LCM = 15984882368
Thus, we can understand that the LCM of 908,182,904,107,448 is 15984882368.
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FAQs on LCM of 908, 182, 904, 107, 448
1. What is the LCM of 908, 182, 904, 107, 448?
Answer: LCM of 908, 182, 904, 107, 448 is 15984882368.
2. How to calculate the LCM of 908, 182, 904, 107, 448?
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 908, 182, 904, 107, 448.
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}.