LCM of 409, 222, 576, 888, 129
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 222, 576, 888, 129 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 409, 222, 576, 888, 129. So, keep reading to learn more.
Given numbers are 409,222,576,888,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,222,576,888,129 is 374814144.
Find LCM of 409,222,576,888,129 with Prime Factorization
| 2 | 409, 222, 576, 888, 129 |
| 2 | 409, 111, 288, 444, 129 |
| 2 | 409, 111, 144, 222, 129 |
| 3 | 409, 111, 72, 111, 129 |
| 37 | 409, 37, 24, 37, 43 |
| 409, 1, 24, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 37 x 409 x 1 x 24 x 1 x 43 = 374814144
Therefore, the lowest common multiple of 409,222,576,888,129 is 374814144.
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.
409 x 222 x 576 x 888 x 129 = 5991029277696
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.
409 : 1, 409
222 : 1, 2, 3, 6, 37, 74, 111, 222
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,222,576,888,129, is 1.
Now, the common factors can be found like this.
409:409
222:2x 3x 37
576:2x 2x 2x 2x 2x 2x 3x 3
888:2x 2x 2x 3x 37
129:3x 43
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 37 = 15984
Therefore, the value for common factors is 15984.
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 = 5991029277696/(1x15984)
LCM = 5991029277696/15984
LCM = 374814144
Thus, we can understand that the LCM of 409,222,576,888,129 is 374814144.
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FAQs on LCM of 409, 222, 576, 888, 129
1. What is the LCM of 409, 222, 576, 888, 129?
Answer: LCM of 409, 222, 576, 888, 129 is 374814144.
2. How to calculate the LCM of 409, 222, 576, 888, 129?
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 409, 222, 576, 888, 129.
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}.