Find the LCM of 394, 882, 629, 490, 225 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 394, 882, 629, 490, 225. So, keep reading to learn more.
Given numbers are 394,882,629,490,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,882,629,490,225 is 2732281650.
Find LCM of 394,882,629,490,225 with Prime Factorization
2 | 394, 882, 629, 490, 225 |
3 | 197, 441, 629, 245, 225 |
3 | 197, 147, 629, 245, 75 |
5 | 197, 49, 629, 245, 25 |
7 | 197, 49, 629, 49, 5 |
7 | 197, 7, 629, 7, 5 |
197, 1, 629, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 7 x 197 x 1 x 629 x 1 x 5 = 2732281650
Therefore, the lowest common multiple of 394,882,629,490,225 is 2732281650.
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.
394 x 882 x 629 x 490 x 225 = 24098724153000
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.
394 : 1, 2, 197, 394
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
629 : 1, 17, 37, 629
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,882,629,490,225, is 1.
Now, the common factors can be found like this.
394:2x 197
882:2x 3x 3x 7x 7
629:17x 37
490:2x 5x 7x 7
225:3x 3x 5x 5
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 3x 3x 5x 7x 7 = 8820
Therefore, the value for common factors is 8820.
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 = 24098724153000/(1x8820)
LCM = 24098724153000/8820
LCM = 2732281650
Thus, we can understand that the LCM of 394,882,629,490,225 is 2732281650.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 394, 882, 629, 490, 225?
Answer: LCM of 394, 882, 629, 490, 225 is 2732281650.
2. How to calculate the LCM of 394, 882, 629, 490, 225?
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 394, 882, 629, 490, 225.
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}.