Find the LCM of 107, 824, 121, 103 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 107, 824, 121, 103. So, keep reading to learn more.
Given numbers are 107,824,121,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,824,121,103 is 10668328.
Find LCM of 107,824,121,103 with Prime Factorization
103 | 107, 824, 121, 103 |
107, 8, 121, 1 |
Multiply the prime numbers at the bottom and the left side.
103 x 107 x 8 x 121 x 1 = 10668328
Therefore, the lowest common multiple of 107,824,121,103 is 10668328.
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.
107 x 824 x 121 x 103 = 1098837784
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.
107 : 1, 107
824 : 1, 2, 4, 8, 103, 206, 412, 824
121 : 1, 11, 121
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,824,121,103, is 1.
Now, the common factors can be found like this.
107:107
824:2x 2x 2x 103
121:11x 11
103:103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
103 = 103
Therefore, the value for common factors is 103.
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 = 1098837784/(1x103)
LCM = 1098837784/103
LCM = 10668328
Thus, we can understand that the LCM of 107,824,121,103 is 10668328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 824, 121, 103?
Answer: LCM of 107, 824, 121, 103 is 10668328.
2. How to calculate the LCM of 107, 824, 121, 103?
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 107, 824, 121, 103.
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}.