Find the LCM of 187, 117, 253, 205 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 187, 117, 253, 205. So, keep reading to learn more.
Given numbers are 187,117,253,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,117,253,205 is 103159485.
Find LCM of 187,117,253,205 with Prime Factorization
11 | 187, 117, 253, 205 |
17, 117, 23, 205 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 117 x 23 x 205 = 103159485
Therefore, the lowest common multiple of 187,117,253,205 is 103159485.
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.
187 x 117 x 253 x 205 = 1134754335
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.
187 : 1, 11, 17, 187
117 : 1, 3, 9, 13, 39, 117
253 : 1, 11, 23, 253
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,117,253,205, is 1.
Now, the common factors can be found like this.
187:11x 17
117:3x 3x 13
253:11x 23
205:5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 1134754335/(1x11)
LCM = 1134754335/11
LCM = 103159485
Thus, we can understand that the LCM of 187,117,253,205 is 103159485.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 187, 117, 253, 205?
Answer: LCM of 187, 117, 253, 205 is 103159485.
2. How to calculate the LCM of 187, 117, 253, 205?
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 187, 117, 253, 205.
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}.