Find the LCM of 489, 630, 504, 986 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 489, 630, 504, 986. So, keep reading to learn more.
Given numbers are 489,630,504,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,630,504,986 is 202504680.
Find LCM of 489,630,504,986 with Prime Factorization
2 | 489, 630, 504, 986 |
3 | 489, 315, 252, 493 |
3 | 163, 105, 84, 493 |
7 | 163, 35, 28, 493 |
163, 5, 4, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 163 x 5 x 4 x 493 = 202504680
Therefore, the lowest common multiple of 489,630,504,986 is 202504680.
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.
489 x 630 x 504 x 986 = 153093538080
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.
489 : 1, 3, 163, 489
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,630,504,986, is 1.
Now, the common factors can be found like this.
489:3x 163
630:2x 3x 3x 5x 7
504:2x 2x 2x 3x 3x 7
986:2x 17x 29
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 3x 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 153093538080/(1x756)
LCM = 153093538080/756
LCM = 202504680
Thus, we can understand that the LCM of 489,630,504,986 is 202504680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 489, 630, 504, 986?
Answer: LCM of 489, 630, 504, 986 is 202504680.
2. How to calculate the LCM of 489, 630, 504, 986?
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 489, 630, 504, 986.
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}.