Find the LCM of 113, 107, 963, 113, 557 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 113, 107, 963, 113, 557. So, keep reading to learn more.
Given numbers are 113,107,963,113,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,107,963,113,557 is 60612183.
Find LCM of 113,107,963,113,557 with Prime Factorization
107 | 113, 107, 963, 113, 557 |
113 | 113, 1, 9, 113, 557 |
1, 1, 9, 1, 557 |
Multiply the prime numbers at the bottom and the left side.
107 x 113 x 1 x 1 x 9 x 1 x 557 = 60612183
Therefore, the lowest common multiple of 113,107,963,113,557 is 60612183.
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.
113 x 107 x 963 x 113 x 557 = 732861904653
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.
113 : 1, 113
107 : 1, 107
963 : 1, 3, 9, 107, 321, 963
113 : 1, 113
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,107,963,113,557, is 1.
Now, the common factors can be found like this.
113:113
107:107
963:3x 3x 107
113:113
557:557
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
107x 113 = 12091
Therefore, the value for common factors is 12091.
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 = 732861904653/(1x12091)
LCM = 732861904653/12091
LCM = 60612183
Thus, we can understand that the LCM of 113,107,963,113,557 is 60612183.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 113, 107, 963, 113, 557?
Answer: LCM of 113, 107, 963, 113, 557 is 60612183.
2. How to calculate the LCM of 113, 107, 963, 113, 557?
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 113, 107, 963, 113, 557.
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}.