Find the LCM of 341, 961, 946, 161 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 341, 961, 946, 161. So, keep reading to learn more.
Given numbers are 341,961,946,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,961,946,161 is 146366066.
Find LCM of 341,961,946,161 with Prime Factorization
11 | 341, 961, 946, 161 |
31 | 31, 961, 86, 161 |
1, 31, 86, 161 |
Multiply the prime numbers at the bottom and the left side.
11 x 31 x 1 x 31 x 86 x 161 = 146366066
Therefore, the lowest common multiple of 341,961,946,161 is 146366066.
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.
341 x 961 x 946 x 161 = 49910828506
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.
341 : 1, 11, 31, 341
961 : 1, 31, 961
946 : 1, 2, 11, 22, 43, 86, 473, 946
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,961,946,161, is 1.
Now, the common factors can be found like this.
341:11x 31
961:31x 31
946:2x 11x 43
161:7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 31 = 341
Therefore, the value for common factors is 341.
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 = 49910828506/(1x341)
LCM = 49910828506/341
LCM = 146366066
Thus, we can understand that the LCM of 341,961,946,161 is 146366066.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 341, 961, 946, 161?
Answer: LCM of 341, 961, 946, 161 is 146366066.
2. How to calculate the LCM of 341, 961, 946, 161?
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 341, 961, 946, 161.
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}.