Find the LCM of 112, 363, 584, 511 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 112, 363, 584, 511. So, keep reading to learn more.
Given numbers are 112,363,584,511
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,363,584,511 is 2967888.
Find LCM of 112,363,584,511 with Prime Factorization
2 | 112, 363, 584, 511 |
2 | 56, 363, 292, 511 |
2 | 28, 363, 146, 511 |
7 | 14, 363, 73, 511 |
73 | 2, 363, 73, 73 |
2, 363, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 73 x 2 x 363 x 1 x 1 = 2967888
Therefore, the lowest common multiple of 112,363,584,511 is 2967888.
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.
112 x 363 x 584 x 511 = 12132726144
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
363 : 1, 3, 11, 33, 121, 363
584 : 1, 2, 4, 8, 73, 146, 292, 584
511 : 1, 7, 73, 511
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,363,584,511, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
363:3x 11x 11
584:2x 2x 2x 73
511:7x 73
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 7x 73 = 4088
Therefore, the value for common factors is 4088.
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 = 12132726144/(1x4088)
LCM = 12132726144/4088
LCM = 2967888
Thus, we can understand that the LCM of 112,363,584,511 is 2967888.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 112, 363, 584, 511?
Answer: LCM of 112, 363, 584, 511 is 2967888.
2. How to calculate the LCM of 112, 363, 584, 511?
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 112, 363, 584, 511.
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}.