LCM of 908, 221, 858, 954, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 908, 221, 858, 954, 681 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, 221, 858, 954, 681. So, keep reading to learn more.
Given numbers are 908,221,858,954,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 908,221,858,954,681 is 1052904996.
Find LCM of 908,221,858,954,681 with Prime Factorization
| 2 | 908, 221, 858, 954, 681 |
| 3 | 454, 221, 429, 477, 681 |
| 13 | 454, 221, 143, 159, 227 |
| 227 | 454, 17, 11, 159, 227 |
| 2, 17, 11, 159, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 227 x 2 x 17 x 11 x 159 x 1 = 1052904996
Therefore, the lowest common multiple of 908,221,858,954,681 is 1052904996.
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 221 x 858 x 954 x 681 = 111856415155056
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
221 : 1, 13, 17, 221
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,221,858,954,681, is 1.
Now, the common factors can be found like this.
908:2x 2x 227
221:13x 17
858:2x 3x 11x 13
954:2x 3x 3x 53
681:3x 227
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 3x 3x 13x 227 = 106236
Therefore, the value for common factors is 106236.
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 = 111856415155056/(1x106236)
LCM = 111856415155056/106236
LCM = 1052904996
Thus, we can understand that the LCM of 908,221,858,954,681 is 1052904996.
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FAQs on LCM of 908, 221, 858, 954, 681
1. What is the LCM of 908, 221, 858, 954, 681?
Answer: LCM of 908, 221, 858, 954, 681 is 1052904996.
2. How to calculate the LCM of 908, 221, 858, 954, 681?
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, 221, 858, 954, 681.
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}.