LCM of 884, 429, 594, 330, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 429, 594, 330, 404 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, 429, 594, 330, 404. So, keep reading to learn more.
Given numbers are 884,429,594,330,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,429,594,330,404 is 132586740.
Find LCM of 884,429,594,330,404 with Prime Factorization
| 2 | 884, 429, 594, 330, 404 |
| 2 | 442, 429, 297, 165, 202 |
| 3 | 221, 429, 297, 165, 101 |
| 11 | 221, 143, 99, 55, 101 |
| 13 | 221, 13, 9, 5, 101 |
| 17, 1, 9, 5, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 17 x 1 x 9 x 5 x 101 = 132586740
Therefore, the lowest common multiple of 884,429,594,330,404 is 132586740.
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 429 x 594 x 330 x 404 = 30032487650880
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
429 : 1, 3, 11, 13, 33, 39, 143, 429
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,429,594,330,404, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
429:3x 11x 13
594:2x 3x 3x 3x 11
330:2x 3x 5x 11
404:2x 2x 101
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 11x 11x 13 = 226512
Therefore, the value for common factors is 226512.
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 = 30032487650880/(1x226512)
LCM = 30032487650880/226512
LCM = 132586740
Thus, we can understand that the LCM of 884,429,594,330,404 is 132586740.
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FAQs on LCM of 884, 429, 594, 330, 404
1. What is the LCM of 884, 429, 594, 330, 404?
Answer: LCM of 884, 429, 594, 330, 404 is 132586740.
2. How to calculate the LCM of 884, 429, 594, 330, 404?
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, 429, 594, 330, 404.
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}.