LCM of 321, 361, 809, 114, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 361, 809, 114, 361 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 321, 361, 809, 114, 361. So, keep reading to learn more.
Given numbers are 321,361,809,114,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,361,809,114,361 is 187495458.
Find LCM of 321,361,809,114,361 with Prime Factorization
| 3 | 321, 361, 809, 114, 361 |
| 19 | 107, 361, 809, 38, 361 |
| 19 | 107, 19, 809, 2, 19 |
| 107, 1, 809, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 19 x 107 x 1 x 809 x 2 x 1 = 187495458
Therefore, the lowest common multiple of 321,361,809,114,361 is 187495458.
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.
321 x 361 x 809 x 114 x 361 = 3858094039266
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.
321 : 1, 3, 107, 321
361 : 1, 19, 361
809 : 1, 809
114 : 1, 2, 3, 6, 19, 38, 57, 114
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,361,809,114,361, is 1.
Now, the common factors can be found like this.
321:3x 107
361:19x 19
809:809
114:2x 3x 19
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19x 19x 19 = 20577
Therefore, the value for common factors is 20577.
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 = 3858094039266/(1x20577)
LCM = 3858094039266/20577
LCM = 187495458
Thus, we can understand that the LCM of 321,361,809,114,361 is 187495458.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 321, 361, 809, 114, 361
1. What is the LCM of 321, 361, 809, 114, 361?
Answer: LCM of 321, 361, 809, 114, 361 is 187495458.
2. How to calculate the LCM of 321, 361, 809, 114, 361?
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 321, 361, 809, 114, 361.
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}.