LCM of 133, 328, 231, 786, 584
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 133, 328, 231, 786, 584 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 133, 328, 231, 786, 584. So, keep reading to learn more.
Given numbers are 133,328,231,786,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,328,231,786,584 is 13766818296.
Find LCM of 133,328,231,786,584 with Prime Factorization
| 2 | 133, 328, 231, 786, 584 |
| 2 | 133, 164, 231, 393, 292 |
| 2 | 133, 82, 231, 393, 146 |
| 3 | 133, 41, 231, 393, 73 |
| 7 | 133, 41, 77, 131, 73 |
| 19, 41, 11, 131, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 19 x 41 x 11 x 131 x 73 = 13766818296
Therefore, the lowest common multiple of 133,328,231,786,584 is 13766818296.
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.
133 x 328 x 231 x 786 x 584 = 4625650947456
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.
133 : 1, 7, 19, 133
328 : 1, 2, 4, 8, 41, 82, 164, 328
231 : 1, 3, 7, 11, 21, 33, 77, 231
786 : 1, 2, 3, 6, 131, 262, 393, 786
584 : 1, 2, 4, 8, 73, 146, 292, 584
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,328,231,786,584, is 1.
Now, the common factors can be found like this.
133:7x 19
328:2x 2x 2x 41
231:3x 7x 11
786:2x 3x 131
584:2x 2x 2x 73
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 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 4625650947456/(1x336)
LCM = 4625650947456/336
LCM = 13766818296
Thus, we can understand that the LCM of 133,328,231,786,584 is 13766818296.
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FAQs on LCM of 133, 328, 231, 786, 584
1. What is the LCM of 133, 328, 231, 786, 584?
Answer: LCM of 133, 328, 231, 786, 584 is 13766818296.
2. How to calculate the LCM of 133, 328, 231, 786, 584?
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 133, 328, 231, 786, 584.
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}.