LCM of 285, 715, 484, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 285, 715, 484, 899 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 285, 715, 484, 899. So, keep reading to learn more.
Given numbers are 285,715,484,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,715,484,899 is 1612104780.
Find LCM of 285,715,484,899 with Prime Factorization
| 5 | 285, 715, 484, 899 |
| 11 | 57, 143, 484, 899 |
| 57, 13, 44, 899 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 57 x 13 x 44 x 899 = 1612104780
Therefore, the lowest common multiple of 285,715,484,899 is 1612104780.
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.
285 x 715 x 484 x 899 = 88665762900
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
715 : 1, 5, 11, 13, 55, 65, 143, 715
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,715,484,899, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
715:5x 11x 13
484:2x 2x 11x 11
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11 = 55
Therefore, the value for common factors is 55.
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 = 88665762900/(1x55)
LCM = 88665762900/55
LCM = 1612104780
Thus, we can understand that the LCM of 285,715,484,899 is 1612104780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 285, 715, 484, 899
1. What is the LCM of 285, 715, 484, 899?
Answer: LCM of 285, 715, 484, 899 is 1612104780.
2. How to calculate the LCM of 285, 715, 484, 899?
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 285, 715, 484, 899.
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}.