Find the LCM of 537, 404, 247, 512 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 537, 404, 247, 512. So, keep reading to learn more.
Given numbers are 537,404,247,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 537,404,247,512 is 6859027968.
Find LCM of 537,404,247,512 with Prime Factorization
2 | 537, 404, 247, 512 |
2 | 537, 202, 247, 256 |
537, 101, 247, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 537 x 101 x 247 x 128 = 6859027968
Therefore, the lowest common multiple of 537,404,247,512 is 6859027968.
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.
537 x 404 x 247 x 512 = 27436111872
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.
537 : 1, 3, 179, 537
404 : 1, 2, 4, 101, 202, 404
247 : 1, 13, 19, 247
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,404,247,512, is 1.
Now, the common factors can be found like this.
537:3x 179
404:2x 2x 101
247:13x 19
512:2x 2x 2x 2x 2x 2x 2x 2x 2
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 27436111872/(1x4)
LCM = 27436111872/4
LCM = 6859027968
Thus, we can understand that the LCM of 537,404,247,512 is 6859027968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 537, 404, 247, 512?
Answer: LCM of 537, 404, 247, 512 is 6859027968.
2. How to calculate the LCM of 537, 404, 247, 512?
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 537, 404, 247, 512.
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}.