Find the LCM of 182, 985, 459, 189, 187 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 182, 985, 459, 189, 187. So, keep reading to learn more.
Given numbers are 182,985,459,189,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,985,459,189,187 is 905134230.
Find LCM of 182,985,459,189,187 with Prime Factorization
3 | 182, 985, 459, 189, 187 |
3 | 182, 985, 153, 63, 187 |
3 | 182, 985, 51, 21, 187 |
7 | 182, 985, 17, 7, 187 |
17 | 26, 985, 17, 1, 187 |
26, 985, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 7 x 17 x 26 x 985 x 1 x 1 x 11 = 905134230
Therefore, the lowest common multiple of 182,985,459,189,187 is 905134230.
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.
182 x 985 x 459 x 189 x 187 = 2908196280990
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
985 : 1, 5, 197, 985
459 : 1, 3, 9, 17, 27, 51, 153, 459
189 : 1, 3, 7, 9, 21, 27, 63, 189
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,985,459,189,187, is 1.
Now, the common factors can be found like this.
182:2x 7x 13
985:5x 197
459:3x 3x 3x 17
189:3x 3x 3x 7
187:11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 17 = 3213
Therefore, the value for common factors is 3213.
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 = 2908196280990/(1x3213)
LCM = 2908196280990/3213
LCM = 905134230
Thus, we can understand that the LCM of 182,985,459,189,187 is 905134230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 182, 985, 459, 189, 187?
Answer: LCM of 182, 985, 459, 189, 187 is 905134230.
2. How to calculate the LCM of 182, 985, 459, 189, 187?
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 182, 985, 459, 189, 187.
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}.