LCM of 440, 578, 404, 105, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 440, 578, 404, 105, 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 440, 578, 404, 105, 405. So, keep reading to learn more.
Given numbers are 440,578,404,105,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,578,404,105,405 is 7282071720.
Find LCM of 440,578,404,105,405 with Prime Factorization
| 2 | 440, 578, 404, 105, 405 |
| 2 | 220, 289, 202, 105, 405 |
| 3 | 110, 289, 101, 105, 405 |
| 5 | 110, 289, 101, 35, 135 |
| 22, 289, 101, 7, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 22 x 289 x 101 x 7 x 27 = 7282071720
Therefore, the lowest common multiple of 440,578,404,105,405 is 7282071720.
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.
440 x 578 x 404 x 105 x 405 = 4369243032000
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
578 : 1, 2, 17, 34, 289, 578
404 : 1, 2, 4, 101, 202, 404
105 : 1, 3, 5, 7, 15, 21, 35, 105
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 440,578,404,105,405, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
578:2x 17x 17
404:2x 2x 101
105:3x 5x 7
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 5 = 600
Therefore, the value for common factors is 600.
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 = 4369243032000/(1x600)
LCM = 4369243032000/600
LCM = 7282071720
Thus, we can understand that the LCM of 440,578,404,105,405 is 7282071720.
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FAQs on LCM of 440, 578, 404, 105, 405
1. What is the LCM of 440, 578, 404, 105, 405?
Answer: LCM of 440, 578, 404, 105, 405 is 7282071720.
2. How to calculate the LCM of 440, 578, 404, 105, 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 440, 578, 404, 105, 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}.