Find the LCM of 563, 452, 791, 288, 872 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, 452, 791, 288, 872. So, keep reading to learn more.
Given numbers are 563,452,791,288,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,452,791,288,872 is 13979893536.
Find LCM of 563,452,791,288,872 with Prime Factorization
2 | 563, 452, 791, 288, 872 |
2 | 563, 226, 791, 144, 436 |
2 | 563, 113, 791, 72, 218 |
113 | 563, 113, 791, 36, 109 |
563, 1, 7, 36, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 113 x 563 x 1 x 7 x 36 x 109 = 13979893536
Therefore, the lowest common multiple of 563,452,791,288,872 is 13979893536.
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 452 x 791 x 288 x 872 = 50551295026176
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
452 : 1, 2, 4, 113, 226, 452
791 : 1, 7, 113, 791
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,452,791,288,872, is 1.
Now, the common factors can be found like this.
563:563
452:2x 2x 113
791:7x 113
288:2x 2x 2x 2x 2x 3x 3
872:2x 2x 2x 109
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 2x 113 = 3616
Therefore, the value for common factors is 3616.
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 = 50551295026176/(1x3616)
LCM = 50551295026176/3616
LCM = 13979893536
Thus, we can understand that the LCM of 563,452,791,288,872 is 13979893536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 563, 452, 791, 288, 872?
Answer: LCM of 563, 452, 791, 288, 872 is 13979893536.
2. How to calculate the LCM of 563, 452, 791, 288, 872?
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, 452, 791, 288, 872.
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}.