Find the LCM of 118, 826, 401, 396, 168 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 118, 826, 401, 396, 168. So, keep reading to learn more.
Given numbers are 118,826,401,396,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,826,401,396,168 is 131165496.
Find LCM of 118,826,401,396,168 with Prime Factorization
2 | 118, 826, 401, 396, 168 |
2 | 59, 413, 401, 198, 84 |
3 | 59, 413, 401, 99, 42 |
7 | 59, 413, 401, 33, 14 |
59 | 59, 59, 401, 33, 2 |
1, 1, 401, 33, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 59 x 1 x 1 x 401 x 33 x 2 = 131165496
Therefore, the lowest common multiple of 118,826,401,396,168 is 131165496.
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.
118 x 826 x 401 x 396 x 168 = 2600224792704
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.
118 : 1, 2, 59, 118
826 : 1, 2, 7, 14, 59, 118, 413, 826
401 : 1, 401
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,826,401,396,168, is 1.
Now, the common factors can be found like this.
118:2x 59
826:2x 7x 59
401:401
396:2x 2x 3x 3x 11
168:2x 2x 2x 3x 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 2x 2x 2x 3x 7x 59 = 19824
Therefore, the value for common factors is 19824.
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 = 2600224792704/(1x19824)
LCM = 2600224792704/19824
LCM = 131165496
Thus, we can understand that the LCM of 118,826,401,396,168 is 131165496.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 118, 826, 401, 396, 168?
Answer: LCM of 118, 826, 401, 396, 168 is 131165496.
2. How to calculate the LCM of 118, 826, 401, 396, 168?
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 118, 826, 401, 396, 168.
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}.