Find the LCM of 185, 529, 303, 195, 987 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 185, 529, 303, 195, 987. So, keep reading to learn more.
Given numbers are 185,529,303,195,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 185,529,303,195,987 is 126826287315.
Find LCM of 185,529,303,195,987 with Prime Factorization
3 | 185, 529, 303, 195, 987 |
5 | 185, 529, 101, 65, 329 |
37, 529, 101, 13, 329 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 37 x 529 x 101 x 13 x 329 = 126826287315
Therefore, the lowest common multiple of 185,529,303,195,987 is 126826287315.
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.
185 x 529 x 303 x 195 x 987 = 5707182929175
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.
185 : 1, 5, 37, 185
529 : 1, 23, 529
303 : 1, 3, 101, 303
195 : 1, 3, 5, 13, 15, 39, 65, 195
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,529,303,195,987, is 1.
Now, the common factors can be found like this.
185:5x 37
529:23x 23
303:3x 101
195:3x 5x 13
987:3x 7x 47
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 5 = 45
Therefore, the value for common factors is 45.
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 = 5707182929175/(1x45)
LCM = 5707182929175/45
LCM = 126826287315
Thus, we can understand that the LCM of 185,529,303,195,987 is 126826287315.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 185, 529, 303, 195, 987?
Answer: LCM of 185, 529, 303, 195, 987 is 126826287315.
2. How to calculate the LCM of 185, 529, 303, 195, 987?
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 185, 529, 303, 195, 987.
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}.