LCM of 322, 298, 309, 561, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 298, 309, 561, 589 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, 298, 309, 561, 589. So, keep reading to learn more.
Given numbers are 322,298,309,561,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,298,309,561,589 is 1632892223886.
Find LCM of 322,298,309,561,589 with Prime Factorization
| 2 | 322, 298, 309, 561, 589 |
| 3 | 161, 149, 309, 561, 589 |
| 161, 149, 103, 187, 589 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 161 x 149 x 103 x 187 x 589 = 1632892223886
Therefore, the lowest common multiple of 322,298,309,561,589 is 1632892223886.
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 298 x 309 x 561 x 589 = 9797353343316
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
298 : 1, 2, 149, 298
309 : 1, 3, 103, 309
561 : 1, 3, 11, 17, 33, 51, 187, 561
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,298,309,561,589, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
298:2x 149
309:3x 103
561:3x 11x 17
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 9797353343316/(1x6)
LCM = 9797353343316/6
LCM = 1632892223886
Thus, we can understand that the LCM of 322,298,309,561,589 is 1632892223886.
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, 298, 309, 561, 589
1. What is the LCM of 322, 298, 309, 561, 589?
Answer: LCM of 322, 298, 309, 561, 589 is 1632892223886.
2. How to calculate the LCM of 322, 298, 309, 561, 589?
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, 298, 309, 561, 589.
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}.