LCM of 811, 885, 131, 450, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 885, 131, 450, 105 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 811, 885, 131, 450, 105. So, keep reading to learn more.
Given numbers are 811,885,131,450,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,885,131,450,105 is 19744889850.
Find LCM of 811,885,131,450,105 with Prime Factorization
| 3 | 811, 885, 131, 450, 105 |
| 5 | 811, 295, 131, 150, 35 |
| 811, 59, 131, 30, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 811 x 59 x 131 x 30 x 7 = 19744889850
Therefore, the lowest common multiple of 811,885,131,450,105 is 19744889850.
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.
811 x 885 x 131 x 450 x 105 = 4442600216250
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.
811 : 1, 811
885 : 1, 3, 5, 15, 59, 177, 295, 885
131 : 1, 131
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,885,131,450,105, is 1.
Now, the common factors can be found like this.
811:811
885:3x 5x 59
131:131
450:2x 3x 3x 5x 5
105:3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 4442600216250/(1x225)
LCM = 4442600216250/225
LCM = 19744889850
Thus, we can understand that the LCM of 811,885,131,450,105 is 19744889850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 811, 885, 131, 450, 105
1. What is the LCM of 811, 885, 131, 450, 105?
Answer: LCM of 811, 885, 131, 450, 105 is 19744889850.
2. How to calculate the LCM of 811, 885, 131, 450, 105?
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 811, 885, 131, 450, 105.
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}.