LCM of 322, 311, 782, 161, 584
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 311, 782, 161, 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 322, 311, 782, 161, 584. So, keep reading to learn more.
Given numbers are 322,311,782,161,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,311,782,161,584 is 497104888.
Find LCM of 322,311,782,161,584 with Prime Factorization
| 2 | 322, 311, 782, 161, 584 |
| 7 | 161, 311, 391, 161, 292 |
| 23 | 23, 311, 391, 23, 292 |
| 1, 311, 17, 1, 292 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 1 x 311 x 17 x 1 x 292 = 497104888
Therefore, the lowest common multiple of 322,311,782,161,584 is 497104888.
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.
322 x 311 x 782 x 161 x 584 = 7363117601056
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
311 : 1, 311
782 : 1, 2, 17, 23, 34, 46, 391, 782
161 : 1, 7, 23, 161
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 322,311,782,161,584, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
311:311
782:2x 17x 23
161:7x 23
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 7x 23x 23 = 14812
Therefore, the value for common factors is 14812.
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 = 7363117601056/(1x14812)
LCM = 7363117601056/14812
LCM = 497104888
Thus, we can understand that the LCM of 322,311,782,161,584 is 497104888.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 322, 311, 782, 161, 584
1. What is the LCM of 322, 311, 782, 161, 584?
Answer: LCM of 322, 311, 782, 161, 584 is 497104888.
2. How to calculate the LCM of 322, 311, 782, 161, 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 322, 311, 782, 161, 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}.