Find the LCM of 452, 145, 578, 578 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, 145, 578, 578. So, keep reading to learn more.
Given numbers are 452,145,578,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,145,578,578 is 18941060.
Find LCM of 452,145,578,578 with Prime Factorization
2 | 452, 145, 578, 578 |
17 | 226, 145, 289, 289 |
17 | 226, 145, 17, 17 |
226, 145, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 17 x 226 x 145 x 1 x 1 = 18941060
Therefore, the lowest common multiple of 452,145,578,578 is 18941060.
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 145 x 578 x 578 = 21895865360
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
145 : 1, 5, 29, 145
578 : 1, 2, 17, 34, 289, 578
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,145,578,578, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
145:5x 29
578:2x 17x 17
578:2x 17x 17
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 17x 17 = 1156
Therefore, the value for common factors is 1156.
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 = 21895865360/(1x1156)
LCM = 21895865360/1156
LCM = 18941060
Thus, we can understand that the LCM of 452,145,578,578 is 18941060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 452, 145, 578, 578?
Answer: LCM of 452, 145, 578, 578 is 18941060.
2. How to calculate the LCM of 452, 145, 578, 578?
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, 145, 578, 578.
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}.