Find the LCM of 428, 882, 282, 463, 686 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 428, 882, 282, 463, 686. So, keep reading to learn more.
Given numbers are 428,882,282,463,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,882,282,463,686 is 28751416596.
Find LCM of 428,882,282,463,686 with Prime Factorization
2 | 428, 882, 282, 463, 686 |
3 | 214, 441, 141, 463, 343 |
7 | 214, 147, 47, 463, 343 |
7 | 214, 21, 47, 463, 49 |
214, 3, 47, 463, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 214 x 3 x 47 x 463 x 7 = 28751416596
Therefore, the lowest common multiple of 428,882,282,463,686 is 28751416596.
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.
428 x 882 x 282 x 463 x 686 = 33811665916896
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.
428 : 1, 2, 4, 107, 214, 428
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
282 : 1, 2, 3, 6, 47, 94, 141, 282
463 : 1, 463
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,882,282,463,686, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
882:2x 3x 3x 7x 7
282:2x 3x 47
463:463
686:2x 7x 7x 7
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 3x 7x 7 = 1176
Therefore, the value for common factors is 1176.
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 = 33811665916896/(1x1176)
LCM = 33811665916896/1176
LCM = 28751416596
Thus, we can understand that the LCM of 428,882,282,463,686 is 28751416596.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 428, 882, 282, 463, 686?
Answer: LCM of 428, 882, 282, 463, 686 is 28751416596.
2. How to calculate the LCM of 428, 882, 282, 463, 686?
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 428, 882, 282, 463, 686.
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}.