LCM of 884, 372, 341, 110, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 372, 341, 110, 405 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 884, 372, 341, 110, 405. So, keep reading to learn more.
Given numbers are 884,372,341,110,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,372,341,110,405 is 122084820.
Find LCM of 884,372,341,110,405 with Prime Factorization
| 2 | 884, 372, 341, 110, 405 |
| 2 | 442, 186, 341, 55, 405 |
| 3 | 221, 93, 341, 55, 405 |
| 5 | 221, 31, 341, 55, 135 |
| 11 | 221, 31, 341, 11, 27 |
| 31 | 221, 31, 31, 1, 27 |
| 221, 1, 1, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 31 x 221 x 1 x 1 x 1 x 27 = 122084820
Therefore, the lowest common multiple of 884,372,341,110,405 is 122084820.
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.
884 x 372 x 341 x 110 x 405 = 4995710834400
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
341 : 1, 11, 31, 341
110 : 1, 2, 5, 10, 11, 22, 55, 110
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,372,341,110,405, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
372:2x 2x 3x 31
341:11x 31
110:2x 5x 11
405:3x 3x 3x 3x 5
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 3x 5x 11x 31 = 40920
Therefore, the value for common factors is 40920.
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 = 4995710834400/(1x40920)
LCM = 4995710834400/40920
LCM = 122084820
Thus, we can understand that the LCM of 884,372,341,110,405 is 122084820.
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FAQs on LCM of 884, 372, 341, 110, 405
1. What is the LCM of 884, 372, 341, 110, 405?
Answer: LCM of 884, 372, 341, 110, 405 is 122084820.
2. How to calculate the LCM of 884, 372, 341, 110, 405?
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 884, 372, 341, 110, 405.
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}.