Find the LCM of 293, 293, 465, 457, 832 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 293, 293, 465, 457, 832. So, keep reading to learn more.
Given numbers are 293,293,465,457,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,293,465,457,832 is 51803618880.
Find LCM of 293,293,465,457,832 with Prime Factorization
293 | 293, 293, 465, 457, 832 |
1, 1, 465, 457, 832 |
Multiply the prime numbers at the bottom and the left side.
293 x 1 x 1 x 465 x 457 x 832 = 51803618880
Therefore, the lowest common multiple of 293,293,465,457,832 is 51803618880.
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.
293 x 293 x 465 x 457 x 832 = 15178460331840
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.
293 : 1, 293
293 : 1, 293
465 : 1, 3, 5, 15, 31, 93, 155, 465
457 : 1, 457
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,293,465,457,832, is 1.
Now, the common factors can be found like this.
293:293
293:293
465:3x 5x 31
457:457
832:2x 2x 2x 2x 2x 2x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
293 = 293
Therefore, the value for common factors is 293.
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 = 15178460331840/(1x293)
LCM = 15178460331840/293
LCM = 51803618880
Thus, we can understand that the LCM of 293,293,465,457,832 is 51803618880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 293, 293, 465, 457, 832?
Answer: LCM of 293, 293, 465, 457, 832 is 51803618880.
2. How to calculate the LCM of 293, 293, 465, 457, 832?
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 293, 293, 465, 457, 832.
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}.