LCM of 452, 938, 563, 454, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 938, 563, 454, 864 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 452, 938, 563, 454, 864. So, keep reading to learn more.
Given numbers are 452,938,563,454,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,938,563,454,864 is 5851932131808.
Find LCM of 452,938,563,454,864 with Prime Factorization
| 2 | 452, 938, 563, 454, 864 |
| 2 | 226, 469, 563, 227, 432 |
| 113, 469, 563, 227, 216 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 113 x 469 x 563 x 227 x 216 = 5851932131808
Therefore, the lowest common multiple of 452,938,563,454,864 is 5851932131808.
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.
452 x 938 x 563 x 454 x 864 = 93630914108928
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.
452 : 1, 2, 4, 113, 226, 452
938 : 1, 2, 7, 14, 67, 134, 469, 938
563 : 1, 563
454 : 1, 2, 227, 454
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,938,563,454,864, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
938:2x 7x 67
563:563
454:2x 227
864:2x 2x 2x 2x 2x 3x 3x 3
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 2 = 16
Therefore, the value for common factors is 16.
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 = 93630914108928/(1x16)
LCM = 93630914108928/16
LCM = 5851932131808
Thus, we can understand that the LCM of 452,938,563,454,864 is 5851932131808.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 452, 938, 563, 454, 864
1. What is the LCM of 452, 938, 563, 454, 864?
Answer: LCM of 452, 938, 563, 454, 864 is 5851932131808.
2. How to calculate the LCM of 452, 938, 563, 454, 864?
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 452, 938, 563, 454, 864.
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}.