Find the LCM of 121, 968, 407 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 121, 968, 407. So, keep reading to learn more.
Given numbers are 121,968,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 121,968,407 is 35816.
Find LCM of 121,968,407 with Prime Factorization
11 | 121, 968, 407 |
11 | 11, 88, 37 |
1, 8, 37 |
Multiply the prime numbers at the bottom and the left side.
11 x 11 x 1 x 8 x 37 = 35816
Therefore, the lowest common multiple of 121,968,407 is 35816.
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.
121 x 968 x 407 = 47671096
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.
121 : 1, 11, 121
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
407 : 1, 11, 37, 407
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,968,407, is 11.
Now, the common factors can be found like this.
121:11x 11
968:2x 2x 2x 11x 11
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 47671096/(11x121)
LCM = 47671096/1331
LCM = 35816
Thus, we can understand that the LCM of 121,968,407 is 35816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 121, 968, 407?
Answer: LCM of 121, 968, 407 is 35816.
2. How to calculate the LCM of 121, 968, 407?
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 121, 968, 407.
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}.