Find the LCM of 563, 296, 813, 148, 932 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 563, 296, 813, 148, 932. So, keep reading to learn more.
Given numbers are 563,296,813,148,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,296,813,148,932 is 31567963992.
Find LCM of 563,296,813,148,932 with Prime Factorization
2 | 563, 296, 813, 148, 932 |
2 | 563, 148, 813, 74, 466 |
37 | 563, 37, 813, 74, 233 |
563, 1, 813, 2, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 563 x 1 x 813 x 2 x 233 = 31567963992
Therefore, the lowest common multiple of 563,296,813,148,932 is 31567963992.
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.
563 x 296 x 813 x 148 x 932 = 18688234683264
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.
563 : 1, 563
296 : 1, 2, 4, 8, 37, 74, 148, 296
813 : 1, 3, 271, 813
148 : 1, 2, 4, 37, 74, 148
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,296,813,148,932, is 1.
Now, the common factors can be found like this.
563:563
296:2x 2x 2x 37
813:3x 271
148:2x 2x 37
932:2x 2x 233
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 37 = 592
Therefore, the value for common factors is 592.
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 = 18688234683264/(1x592)
LCM = 18688234683264/592
LCM = 31567963992
Thus, we can understand that the LCM of 563,296,813,148,932 is 31567963992.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 563, 296, 813, 148, 932?
Answer: LCM of 563, 296, 813, 148, 932 is 31567963992.
2. How to calculate the LCM of 563, 296, 813, 148, 932?
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 563, 296, 813, 148, 932.
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}.