Find the LCM of 447, 786, 884, 408, 648 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 447, 786, 884, 408, 648. So, keep reading to learn more.
Given numbers are 447,786,884,408,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,786,884,408,648 is 2795276952.
Find LCM of 447,786,884,408,648 with Prime Factorization
2 | 447, 786, 884, 408, 648 |
2 | 447, 393, 442, 204, 324 |
2 | 447, 393, 221, 102, 162 |
3 | 447, 393, 221, 51, 81 |
17 | 149, 131, 221, 17, 27 |
149, 131, 13, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 149 x 131 x 13 x 1 x 27 = 2795276952
Therefore, the lowest common multiple of 447,786,884,408,648 is 2795276952.
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.
447 x 786 x 884 x 408 x 648 = 82114055741952
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.
447 : 1, 3, 149, 447
786 : 1, 2, 3, 6, 131, 262, 393, 786
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,786,884,408,648, is 1.
Now, the common factors can be found like this.
447:3x 149
786:2x 3x 131
884:2x 2x 13x 17
408:2x 2x 2x 3x 17
648:2x 2x 2x 3x 3x 3x 3
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 2x 2x 2x 2x 3x 3x 3x 17 = 29376
Therefore, the value for common factors is 29376.
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 = 82114055741952/(1x29376)
LCM = 82114055741952/29376
LCM = 2795276952
Thus, we can understand that the LCM of 447,786,884,408,648 is 2795276952.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 447, 786, 884, 408, 648?
Answer: LCM of 447, 786, 884, 408, 648 is 2795276952.
2. How to calculate the LCM of 447, 786, 884, 408, 648?
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 447, 786, 884, 408, 648.
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}.