LCM of 888, 705, 480, 408, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 888, 705, 480, 408, 561 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 888, 705, 480, 408, 561. So, keep reading to learn more.
Given numbers are 888,705,480,408,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 888,705,480,408,561 is 156092640.
Find LCM of 888,705,480,408,561 with Prime Factorization
| 2 | 888, 705, 480, 408, 561 |
| 2 | 444, 705, 240, 204, 561 |
| 2 | 222, 705, 120, 102, 561 |
| 3 | 111, 705, 60, 51, 561 |
| 5 | 37, 235, 20, 17, 187 |
| 17 | 37, 47, 4, 17, 187 |
| 37, 47, 4, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 37 x 47 x 4 x 1 x 11 = 156092640
Therefore, the lowest common multiple of 888,705,480,408,561 is 156092640.
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.
888 x 705 x 480 x 408 x 561 = 68780660889600
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.
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
705 : 1, 3, 5, 15, 47, 141, 235, 705
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
561 : 1, 3, 11, 17, 33, 51, 187, 561
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,705,480,408,561, is 3.
Now, the common factors can be found like this.
888:2x 2x 2x 3x 37
705:3x 5x 47
480:2x 2x 2x 2x 2x 3x 5
408:2x 2x 2x 3x 17
561:3x 11x 17
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 2x 2x 3x 3x 3x 5x 17 = 146880
Therefore, the value for common factors is 146880.
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 = 68780660889600/(3x146880)
LCM = 68780660889600/440640
LCM = 156092640
Thus, we can understand that the LCM of 888,705,480,408,561 is 156092640.
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FAQs on LCM of 888, 705, 480, 408, 561
1. What is the LCM of 888, 705, 480, 408, 561?
Answer: LCM of 888, 705, 480, 408, 561 is 156092640.
2. How to calculate the LCM of 888, 705, 480, 408, 561?
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 888, 705, 480, 408, 561.
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}.