Find the LCM of 962, 187, 168, 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 962, 187, 168, 187. So, keep reading to learn more.
Given numbers are 962,187,168,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,187,168,187 is 15111096.
Find LCM of 962,187,168,187 with Prime Factorization
2 | 962, 187, 168, 187 |
11 | 481, 187, 84, 187 |
17 | 481, 17, 84, 17 |
481, 1, 84, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 481 x 1 x 84 x 1 = 15111096
Therefore, the lowest common multiple of 962,187,168,187 is 15111096.
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.
962 x 187 x 168 x 187 = 5651549904
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
187 : 1, 11, 17, 187
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,187,168,187, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
187:11x 17
168:2x 2x 2x 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.
2x 11x 17 = 374
Therefore, the value for common factors is 374.
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 = 5651549904/(1x374)
LCM = 5651549904/374
LCM = 15111096
Thus, we can understand that the LCM of 962,187,168,187 is 15111096.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 962, 187, 168, 187?
Answer: LCM of 962, 187, 168, 187 is 15111096.
2. How to calculate the LCM of 962, 187, 168, 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 962, 187, 168, 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}.