Find the LCM of 136, 561, 876, 911, 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 136, 561, 876, 911, 187. So, keep reading to learn more.
Given numbers are 136,561,876,911,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 136,561,876,911,187 is 298465464.
Find LCM of 136,561,876,911,187 with Prime Factorization
2 | 136, 561, 876, 911, 187 |
2 | 68, 561, 438, 911, 187 |
3 | 34, 561, 219, 911, 187 |
11 | 34, 187, 73, 911, 187 |
17 | 34, 17, 73, 911, 17 |
2, 1, 73, 911, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 2 x 1 x 73 x 911 x 1 = 298465464
Therefore, the lowest common multiple of 136,561,876,911,187 is 298465464.
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.
136 x 561 x 876 x 911 x 187 = 11385860520672
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.
136 : 1, 2, 4, 8, 17, 34, 68, 136
561 : 1, 3, 11, 17, 33, 51, 187, 561
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
911 : 1, 911
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,561,876,911,187, is 1.
Now, the common factors can be found like this.
136:2x 2x 2x 17
561:3x 11x 17
876:2x 2x 3x 73
911:911
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 2x 3x 11x 17x 17 = 38148
Therefore, the value for common factors is 38148.
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 = 11385860520672/(1x38148)
LCM = 11385860520672/38148
LCM = 298465464
Thus, we can understand that the LCM of 136,561,876,911,187 is 298465464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 136, 561, 876, 911, 187?
Answer: LCM of 136, 561, 876, 911, 187 is 298465464.
2. How to calculate the LCM of 136, 561, 876, 911, 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 136, 561, 876, 911, 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}.