LCM of 556, 716, 793, 205, 481
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 716, 793, 205, 481 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 556, 716, 793, 205, 481. So, keep reading to learn more.
Given numbers are 556,716,793,205,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,716,793,205,481 is 598627405220.
Find LCM of 556,716,793,205,481 with Prime Factorization
| 2 | 556, 716, 793, 205, 481 |
| 2 | 278, 358, 793, 205, 481 |
| 13 | 139, 179, 793, 205, 481 |
| 139, 179, 61, 205, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 139 x 179 x 61 x 205 x 37 = 598627405220
Therefore, the lowest common multiple of 556,716,793,205,481 is 598627405220.
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.
556 x 716 x 793 x 205 x 481 = 31128625071440
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.
556 : 1, 2, 4, 139, 278, 556
716 : 1, 2, 4, 179, 358, 716
793 : 1, 13, 61, 793
205 : 1, 5, 41, 205
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,716,793,205,481, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
716:2x 2x 179
793:13x 61
205:5x 41
481:13x 37
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 13 = 52
Therefore, the value for common factors is 52.
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 = 31128625071440/(1x52)
LCM = 31128625071440/52
LCM = 598627405220
Thus, we can understand that the LCM of 556,716,793,205,481 is 598627405220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 556, 716, 793, 205, 481
1. What is the LCM of 556, 716, 793, 205, 481?
Answer: LCM of 556, 716, 793, 205, 481 is 598627405220.
2. How to calculate the LCM of 556, 716, 793, 205, 481?
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 556, 716, 793, 205, 481.
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}.