LCM of 411, 372, 351, 580, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 411, 372, 351, 580, 684 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 411, 372, 351, 580, 684. So, keep reading to learn more.
Given numbers are 411,372,351,580,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,372,351,580,684 is 16427480940.
Find LCM of 411,372,351,580,684 with Prime Factorization
| 2 | 411, 372, 351, 580, 684 |
| 2 | 411, 186, 351, 290, 342 |
| 3 | 411, 93, 351, 145, 171 |
| 3 | 137, 31, 117, 145, 57 |
| 137, 31, 39, 145, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 137 x 31 x 39 x 145 x 19 = 16427480940
Therefore, the lowest common multiple of 411,372,351,580,684 is 16427480940.
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.
411 x 372 x 351 x 580 x 684 = 21290015298240
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.
411 : 1, 3, 137, 411
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
351 : 1, 3, 9, 13, 27, 39, 117, 351
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,372,351,580,684, is 1.
Now, the common factors can be found like this.
411:3x 137
372:2x 2x 3x 31
351:3x 3x 3x 13
580:2x 2x 5x 29
684:2x 2x 3x 3x 19
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 2x 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 21290015298240/(1x1296)
LCM = 21290015298240/1296
LCM = 16427480940
Thus, we can understand that the LCM of 411,372,351,580,684 is 16427480940.
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FAQs on LCM of 411, 372, 351, 580, 684
1. What is the LCM of 411, 372, 351, 580, 684?
Answer: LCM of 411, 372, 351, 580, 684 is 16427480940.
2. How to calculate the LCM of 411, 372, 351, 580, 684?
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 411, 372, 351, 580, 684.
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}.