Find the LCM of 463, 357, 165, 584 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 463, 357, 165, 584. So, keep reading to learn more.
Given numbers are 463,357,165,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,357,165,584 is 5309146920.
Find LCM of 463,357,165,584 with Prime Factorization
3 | 463, 357, 165, 584 |
463, 119, 55, 584 |
Multiply the prime numbers at the bottom and the left side.
3 x 463 x 119 x 55 x 584 = 5309146920
Therefore, the lowest common multiple of 463,357,165,584 is 5309146920.
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.
463 x 357 x 165 x 584 = 15927440760
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.
463 : 1, 463
357 : 1, 3, 7, 17, 21, 51, 119, 357
165 : 1, 3, 5, 11, 15, 33, 55, 165
584 : 1, 2, 4, 8, 73, 146, 292, 584
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,357,165,584, is 1.
Now, the common factors can be found like this.
463:463
357:3x 7x 17
165:3x 5x 11
584:2x 2x 2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 15927440760/(1x3)
LCM = 15927440760/3
LCM = 5309146920
Thus, we can understand that the LCM of 463,357,165,584 is 5309146920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 357, 165, 584?
Answer: LCM of 463, 357, 165, 584 is 5309146920.
2. How to calculate the LCM of 463, 357, 165, 584?
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 463, 357, 165, 584.
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}.