Find the LCM of 484, 960, 679, 485, 587 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, 960, 679, 485, 587. So, keep reading to learn more.
Given numbers are 484,960,679,485,587
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,960,679,485,587 is 46298239680.
Find LCM of 484,960,679,485,587 with Prime Factorization
2 | 484, 960, 679, 485, 587 |
2 | 242, 480, 679, 485, 587 |
5 | 121, 240, 679, 485, 587 |
97 | 121, 48, 679, 97, 587 |
121, 48, 7, 1, 587 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 97 x 121 x 48 x 7 x 1 x 587 = 46298239680
Therefore, the lowest common multiple of 484,960,679,485,587 is 46298239680.
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 960 x 679 x 485 x 587 = 89818584979200
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
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
679 : 1, 7, 97, 679
485 : 1, 5, 97, 485
587 : 1, 587
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,960,679,485,587, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
960:2x 2x 2x 2x 2x 2x 3x 5
679:7x 97
485:5x 97
587:587
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 5x 97 = 1940
Therefore, the value for common factors is 1940.
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 = 89818584979200/(1x1940)
LCM = 89818584979200/1940
LCM = 46298239680
Thus, we can understand that the LCM of 484,960,679,485,587 is 46298239680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 484, 960, 679, 485, 587?
Answer: LCM of 484, 960, 679, 485, 587 is 46298239680.
2. How to calculate the LCM of 484, 960, 679, 485, 587?
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, 960, 679, 485, 587.
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}.