Find the LCM of 547, 214, 963, 113 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 547, 214, 963, 113. So, keep reading to learn more.
Given numbers are 547,214,963,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,214,963,113 is 119047986.
Find LCM of 547,214,963,113 with Prime Factorization
107 | 547, 214, 963, 113 |
547, 2, 9, 113 |
Multiply the prime numbers at the bottom and the left side.
107 x 547 x 2 x 9 x 113 = 119047986
Therefore, the lowest common multiple of 547,214,963,113 is 119047986.
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.
547 x 214 x 963 x 113 = 12738134502
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.
547 : 1, 547
214 : 1, 2, 107, 214
963 : 1, 3, 9, 107, 321, 963
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,214,963,113, is 1.
Now, the common factors can be found like this.
547:547
214:2x 107
963:3x 3x 107
113:113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
107 = 107
Therefore, the value for common factors is 107.
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 = 12738134502/(1x107)
LCM = 12738134502/107
LCM = 119047986
Thus, we can understand that the LCM of 547,214,963,113 is 119047986.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 547, 214, 963, 113?
Answer: LCM of 547, 214, 963, 113 is 119047986.
2. How to calculate the LCM of 547, 214, 963, 113?
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 547, 214, 963, 113.
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}.