Find the LCM of 443, 576, 936, 260 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 443, 576, 936, 260. So, keep reading to learn more.
Given numbers are 443,576,936,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,576,936,260 is 16585920.
Find LCM of 443,576,936,260 with Prime Factorization
2 | 443, 576, 936, 260 |
2 | 443, 288, 468, 130 |
2 | 443, 144, 234, 65 |
3 | 443, 72, 117, 65 |
3 | 443, 24, 39, 65 |
13 | 443, 8, 13, 65 |
443, 8, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 443 x 8 x 1 x 5 = 16585920
Therefore, the lowest common multiple of 443,576,936,260 is 16585920.
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.
443 x 576 x 936 x 260 = 62097684480
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.
443 : 1, 443
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,576,936,260, is 1.
Now, the common factors can be found like this.
443:443
576:2x 2x 2x 2x 2x 2x 3x 3
936:2x 2x 2x 3x 3x 13
260:2x 2x 5x 13
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 3x 3x 13 = 3744
Therefore, the value for common factors is 3744.
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 = 62097684480/(1x3744)
LCM = 62097684480/3744
LCM = 16585920
Thus, we can understand that the LCM of 443,576,936,260 is 16585920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 443, 576, 936, 260?
Answer: LCM of 443, 576, 936, 260 is 16585920.
2. How to calculate the LCM of 443, 576, 936, 260?
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 443, 576, 936, 260.
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}.