Find the LCM of 347, 468, 341, 418, 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 347, 468, 341, 418, 161. So, keep reading to learn more.
Given numbers are 347,468,341,418,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,468,341,418,161 is 169398353124.
Find LCM of 347,468,341,418,161 with Prime Factorization
2 | 347, 468, 341, 418, 161 |
11 | 347, 234, 341, 209, 161 |
347, 234, 31, 19, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 347 x 234 x 31 x 19 x 161 = 169398353124
Therefore, the lowest common multiple of 347,468,341,418,161 is 169398353124.
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.
347 x 468 x 341 x 418 x 161 = 3726763768728
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.
347 : 1, 347
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
341 : 1, 11, 31, 341
418 : 1, 2, 11, 19, 22, 38, 209, 418
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,468,341,418,161, is 1.
Now, the common factors can be found like this.
347:347
468:2x 2x 3x 3x 13
341:11x 31
418:2x 11x 19
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.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 3726763768728/(1x22)
LCM = 3726763768728/22
LCM = 169398353124
Thus, we can understand that the LCM of 347,468,341,418,161 is 169398353124.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 347, 468, 341, 418, 161?
Answer: LCM of 347, 468, 341, 418, 161 is 169398353124.
2. How to calculate the LCM of 347, 468, 341, 418, 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 347, 468, 341, 418, 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}.