LCM of 321, 411, 449, 361, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 411, 449, 361, 138 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, 411, 449, 361, 138. So, keep reading to learn more.
Given numbers are 321,411,449,361,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,411,449,361,138 is 327896645838.
Find LCM of 321,411,449,361,138 with Prime Factorization
| 3 | 321, 411, 449, 361, 138 |
| 107, 137, 449, 361, 46 |
Multiply the prime numbers at the bottom and the left side.
3 x 107 x 137 x 449 x 361 x 46 = 327896645838
Therefore, the lowest common multiple of 321,411,449,361,138 is 327896645838.
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 411 x 449 x 361 x 138 = 2951069812542
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
411 : 1, 3, 137, 411
449 : 1, 449
361 : 1, 19, 361
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,411,449,361,138, is 1.
Now, the common factors can be found like this.
321:3x 107
411:3x 137
449:449
361:19x 19
138:2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 2951069812542/(1x9)
LCM = 2951069812542/9
LCM = 327896645838
Thus, we can understand that the LCM of 321,411,449,361,138 is 327896645838.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 321, 411, 449, 361, 138
1. What is the LCM of 321, 411, 449, 361, 138?
Answer: LCM of 321, 411, 449, 361, 138 is 327896645838.
2. How to calculate the LCM of 321, 411, 449, 361, 138?
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, 411, 449, 361, 138.
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}.