Find the LCM of 529, 404, 784, 144 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 529, 404, 784, 144. So, keep reading to learn more.
Given numbers are 529,404,784,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 529,404,784,144 is 376995024.
Find LCM of 529,404,784,144 with Prime Factorization
2 | 529, 404, 784, 144 |
2 | 529, 202, 392, 72 |
2 | 529, 101, 196, 36 |
2 | 529, 101, 98, 18 |
529, 101, 49, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 529 x 101 x 49 x 9 = 376995024
Therefore, the lowest common multiple of 529,404,784,144 is 376995024.
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.
529 x 404 x 784 x 144 = 24127681536
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.
529 : 1, 23, 529
404 : 1, 2, 4, 101, 202, 404
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,404,784,144, is 1.
Now, the common factors can be found like this.
529:23x 23
404:2x 2x 101
784:2x 2x 2x 2x 7x 7
144:2x 2x 2x 2x 3x 3
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 2 = 64
Therefore, the value for common factors is 64.
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 = 24127681536/(1x64)
LCM = 24127681536/64
LCM = 376995024
Thus, we can understand that the LCM of 529,404,784,144 is 376995024.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 529, 404, 784, 144?
Answer: LCM of 529, 404, 784, 144 is 376995024.
2. How to calculate the LCM of 529, 404, 784, 144?
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 529, 404, 784, 144.
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}.