Find the LCM of 277, 341, 511, 831, 955 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 277, 341, 511, 831, 955. So, keep reading to learn more.
Given numbers are 277,341,511,831,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,341,511,831,955 is 138286464855.
Find LCM of 277,341,511,831,955 with Prime Factorization
277 | 277, 341, 511, 831, 955 |
1, 341, 511, 3, 955 |
Multiply the prime numbers at the bottom and the left side.
277 x 1 x 341 x 511 x 3 x 955 = 138286464855
Therefore, the lowest common multiple of 277,341,511,831,955 is 138286464855.
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.
277 x 341 x 511 x 831 x 955 = 38305350764835
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.
277 : 1, 277
341 : 1, 11, 31, 341
511 : 1, 7, 73, 511
831 : 1, 3, 277, 831
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,341,511,831,955, is 1.
Now, the common factors can be found like this.
277:277
341:11x 31
511:7x 73
831:3x 277
955:5x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
277 = 277
Therefore, the value for common factors is 277.
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 = 38305350764835/(1x277)
LCM = 38305350764835/277
LCM = 138286464855
Thus, we can understand that the LCM of 277,341,511,831,955 is 138286464855.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 277, 341, 511, 831, 955?
Answer: LCM of 277, 341, 511, 831, 955 is 138286464855.
2. How to calculate the LCM of 277, 341, 511, 831, 955?
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 277, 341, 511, 831, 955.
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}.