LCM of 341, 405, 374, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 405, 374, 165 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 341, 405, 374, 165. So, keep reading to learn more.
Given numbers are 341,405,374,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,405,374,165 is 4695570.
Find LCM of 341,405,374,165 with Prime Factorization
| 3 | 341, 405, 374, 165 |
| 5 | 341, 135, 374, 55 |
| 11 | 341, 27, 374, 11 |
| 31, 27, 34, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 31 x 27 x 34 x 1 = 4695570
Therefore, the lowest common multiple of 341,405,374,165 is 4695570.
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.
341 x 405 x 374 x 165 = 8522459550
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.
341 : 1, 11, 31, 341
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
374 : 1, 2, 11, 17, 22, 34, 187, 374
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,405,374,165, is 1.
Now, the common factors can be found like this.
341:11x 31
405:3x 3x 3x 3x 5
374:2x 11x 17
165:3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11x 11 = 1815
Therefore, the value for common factors is 1815.
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 = 8522459550/(1x1815)
LCM = 8522459550/1815
LCM = 4695570
Thus, we can understand that the LCM of 341,405,374,165 is 4695570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 341, 405, 374, 165
1. What is the LCM of 341, 405, 374, 165?
Answer: LCM of 341, 405, 374, 165 is 4695570.
2. How to calculate the LCM of 341, 405, 374, 165?
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 341, 405, 374, 165.
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}.