LCM of 885, 949, 143, 287, 484
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 885, 949, 143, 287, 484 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 885, 949, 143, 287, 484. So, keep reading to learn more.
Given numbers are 885,949,143,287,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 885,949,143,287,484 is 116663967420.
Find LCM of 885,949,143,287,484 with Prime Factorization
| 11 | 885, 949, 143, 287, 484 |
| 13 | 885, 949, 13, 287, 44 |
| 885, 73, 1, 287, 44 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 885 x 73 x 1 x 287 x 44 = 116663967420
Therefore, the lowest common multiple of 885,949,143,287,484 is 116663967420.
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.
885 x 949 x 143 x 287 x 484 = 16682947341060
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.
885 : 1, 3, 5, 15, 59, 177, 295, 885
949 : 1, 13, 73, 949
143 : 1, 11, 13, 143
287 : 1, 7, 41, 287
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 885,949,143,287,484, is 1.
Now, the common factors can be found like this.
885:3x 5x 59
949:13x 73
143:11x 13
287:7x 41
484:2x 2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 16682947341060/(1x143)
LCM = 16682947341060/143
LCM = 116663967420
Thus, we can understand that the LCM of 885,949,143,287,484 is 116663967420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 885, 949, 143, 287, 484
1. What is the LCM of 885, 949, 143, 287, 484?
Answer: LCM of 885, 949, 143, 287, 484 is 116663967420.
2. How to calculate the LCM of 885, 949, 143, 287, 484?
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 885, 949, 143, 287, 484.
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}.