Find the LCM of 168, 278, 935, 831, 343 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 168, 278, 935, 831, 343. So, keep reading to learn more.
Given numbers are 168,278,935,831,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,278,935,831,343 is 296354510760.
Find LCM of 168,278,935,831,343 with Prime Factorization
2 | 168, 278, 935, 831, 343 |
3 | 84, 139, 935, 831, 343 |
7 | 28, 139, 935, 277, 343 |
4, 139, 935, 277, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 4 x 139 x 935 x 277 x 49 = 296354510760
Therefore, the lowest common multiple of 168,278,935,831,343 is 296354510760.
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.
168 x 278 x 935 x 831 x 343 = 12446889451920
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
278 : 1, 2, 139, 278
935 : 1, 5, 11, 17, 55, 85, 187, 935
831 : 1, 3, 277, 831
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,278,935,831,343, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
278:2x 139
935:5x 11x 17
831:3x 277
343:7x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 12446889451920/(1x42)
LCM = 12446889451920/42
LCM = 296354510760
Thus, we can understand that the LCM of 168,278,935,831,343 is 296354510760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 168, 278, 935, 831, 343?
Answer: LCM of 168, 278, 935, 831, 343 is 296354510760.
2. How to calculate the LCM of 168, 278, 935, 831, 343?
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 168, 278, 935, 831, 343.
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}.