LCM of 322, 578, 280, 834, 927
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 578, 280, 834, 927 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, 578, 280, 834, 927. So, keep reading to learn more.
Given numbers are 322,578,280,834,927
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,578,280,834,927 is 239816049480.
Find LCM of 322,578,280,834,927 with Prime Factorization
| 2 | 322, 578, 280, 834, 927 |
| 3 | 161, 289, 140, 417, 927 |
| 7 | 161, 289, 140, 139, 309 |
| 23, 289, 20, 139, 309 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 289 x 20 x 139 x 309 = 239816049480
Therefore, the lowest common multiple of 322,578,280,834,927 is 239816049480.
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 578 x 280 x 834 x 927 = 40289096312640
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
578 : 1, 2, 17, 34, 289, 578
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
834 : 1, 2, 3, 6, 139, 278, 417, 834
927 : 1, 3, 9, 103, 309, 927
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,578,280,834,927, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
578:2x 17x 17
280:2x 2x 2x 5x 7
834:2x 3x 139
927:3x 3x 103
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 40289096312640/(1x168)
LCM = 40289096312640/168
LCM = 239816049480
Thus, we can understand that the LCM of 322,578,280,834,927 is 239816049480.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 322, 578, 280, 834, 927
1. What is the LCM of 322, 578, 280, 834, 927?
Answer: LCM of 322, 578, 280, 834, 927 is 239816049480.
2. How to calculate the LCM of 322, 578, 280, 834, 927?
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, 578, 280, 834, 927.
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}.