Find the LCM of 484, 368, 574, 374, 560 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 484, 368, 574, 374, 560. So, keep reading to learn more.
Given numbers are 484,368,574,374,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,368,574,374,560 is 1086260560.
Find LCM of 484,368,574,374,560 with Prime Factorization
2 | 484, 368, 574, 374, 560 |
2 | 242, 184, 287, 187, 280 |
2 | 121, 92, 287, 187, 140 |
2 | 121, 46, 287, 187, 70 |
7 | 121, 23, 287, 187, 35 |
11 | 121, 23, 41, 187, 5 |
11, 23, 41, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 11 x 11 x 23 x 41 x 17 x 5 = 1086260560
Therefore, the lowest common multiple of 484,368,574,374,560 is 1086260560.
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.
484 x 368 x 574 x 374 x 560 = 21412368158720
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
574 : 1, 2, 7, 14, 41, 82, 287, 574
374 : 1, 2, 11, 17, 22, 34, 187, 374
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,368,574,374,560, is 2.
Now, the common factors can be found like this.
484:2x 2x 11x 11
368:2x 2x 2x 2x 23
574:2x 7x 41
374:2x 11x 17
560:2x 2x 2x 2x 5x 7
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 2x 2x 7x 11 = 9856
Therefore, the value for common factors is 9856.
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 = 21412368158720/(2x9856)
LCM = 21412368158720/19712
LCM = 1086260560
Thus, we can understand that the LCM of 484,368,574,374,560 is 1086260560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 484, 368, 574, 374, 560?
Answer: LCM of 484, 368, 574, 374, 560 is 1086260560.
2. How to calculate the LCM of 484, 368, 574, 374, 560?
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 484, 368, 574, 374, 560.
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}.