Find the LCM of 884, 811, 319, 852, 447 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 884, 811, 319, 852, 447. So, keep reading to learn more.
Given numbers are 884,811,319,852,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,811,319,852,447 is 7258212419172.
Find LCM of 884,811,319,852,447 with Prime Factorization
2 | 884, 811, 319, 852, 447 |
2 | 442, 811, 319, 426, 447 |
3 | 221, 811, 319, 213, 447 |
221, 811, 319, 71, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 221 x 811 x 319 x 71 x 149 = 7258212419172
Therefore, the lowest common multiple of 884,811,319,852,447 is 7258212419172.
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.
884 x 811 x 319 x 852 x 447 = 87098549030064
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
811 : 1, 811
319 : 1, 11, 29, 319
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,811,319,852,447, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
811:811
319:11x 29
852:2x 2x 3x 71
447:3x 149
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 3 = 12
Therefore, the value for common factors is 12.
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 = 87098549030064/(1x12)
LCM = 87098549030064/12
LCM = 7258212419172
Thus, we can understand that the LCM of 884,811,319,852,447 is 7258212419172.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 884, 811, 319, 852, 447?
Answer: LCM of 884, 811, 319, 852, 447 is 7258212419172.
2. How to calculate the LCM of 884, 811, 319, 852, 447?
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 884, 811, 319, 852, 447.
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}.