Find the LCM of 482, 275, 814, 285, 161 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 482, 275, 814, 285, 161. So, keep reading to learn more.
Given numbers are 482,275,814,285,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,275,814,285,161 is 45007219950.
Find LCM of 482,275,814,285,161 with Prime Factorization
2 | 482, 275, 814, 285, 161 |
5 | 241, 275, 407, 285, 161 |
11 | 241, 55, 407, 57, 161 |
241, 5, 37, 57, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 241 x 5 x 37 x 57 x 161 = 45007219950
Therefore, the lowest common multiple of 482,275,814,285,161 is 45007219950.
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.
482 x 275 x 814 x 285 x 161 = 4950794194500
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.
482 : 1, 2, 241, 482
275 : 1, 5, 11, 25, 55, 275
814 : 1, 2, 11, 22, 37, 74, 407, 814
285 : 1, 3, 5, 15, 19, 57, 95, 285
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,275,814,285,161, is 1.
Now, the common factors can be found like this.
482:2x 241
275:5x 5x 11
814:2x 11x 37
285:3x 5x 19
161:7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 4950794194500/(1x110)
LCM = 4950794194500/110
LCM = 45007219950
Thus, we can understand that the LCM of 482,275,814,285,161 is 45007219950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 482, 275, 814, 285, 161?
Answer: LCM of 482, 275, 814, 285, 161 is 45007219950.
2. How to calculate the LCM of 482, 275, 814, 285, 161?
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 482, 275, 814, 285, 161.
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}.