LCM of 227, 424, 583, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 424, 583, 832 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 227, 424, 583, 832. So, keep reading to learn more.
Given numbers are 227,424,583,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,424,583,832 is 110107712.
Find LCM of 227,424,583,832 with Prime Factorization
| 2 | 227, 424, 583, 832 |
| 2 | 227, 212, 583, 416 |
| 2 | 227, 106, 583, 208 |
| 53 | 227, 53, 583, 104 |
| 227, 1, 11, 104 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 53 x 227 x 1 x 11 x 104 = 110107712
Therefore, the lowest common multiple of 227,424,583,832 is 110107712.
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.
227 x 424 x 583 x 832 = 46685669888
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.
227 : 1, 227
424 : 1, 2, 4, 8, 53, 106, 212, 424
583 : 1, 11, 53, 583
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,424,583,832, is 1.
Now, the common factors can be found like this.
227:227
424:2x 2x 2x 53
583:11x 53
832:2x 2x 2x 2x 2x 2x 13
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 2x 53 = 424
Therefore, the value for common factors is 424.
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 = 46685669888/(1x424)
LCM = 46685669888/424
LCM = 110107712
Thus, we can understand that the LCM of 227,424,583,832 is 110107712.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 227, 424, 583, 832
1. What is the LCM of 227, 424, 583, 832?
Answer: LCM of 227, 424, 583, 832 is 110107712.
2. How to calculate the LCM of 227, 424, 583, 832?
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 227, 424, 583, 832.
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}.