Find the LCM of 489, 978, 310, 658, 660 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, 978, 310, 658, 660. So, keep reading to learn more.
Given numbers are 489,978,310,658,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,978,310,658,660 is 1097208420.
Find LCM of 489,978,310,658,660 with Prime Factorization
2 | 489, 978, 310, 658, 660 |
3 | 489, 489, 155, 329, 330 |
5 | 163, 163, 155, 329, 110 |
163 | 163, 163, 31, 329, 22 |
1, 1, 31, 329, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 163 x 1 x 1 x 31 x 329 x 22 = 1097208420
Therefore, the lowest common multiple of 489,978,310,658,660 is 1097208420.
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 978 x 310 x 658 x 660 = 64384190085600
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
978 : 1, 2, 3, 6, 163, 326, 489, 978
310 : 1, 2, 5, 10, 31, 62, 155, 310
658 : 1, 2, 7, 14, 47, 94, 329, 658
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,978,310,658,660, is 1.
Now, the common factors can be found like this.
489:3x 163
978:2x 3x 163
310:2x 5x 31
658:2x 7x 47
660:2x 2x 3x 5x 11
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 3x 3x 5x 163 = 58680
Therefore, the value for common factors is 58680.
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 = 64384190085600/(1x58680)
LCM = 64384190085600/58680
LCM = 1097208420
Thus, we can understand that the LCM of 489,978,310,658,660 is 1097208420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 489, 978, 310, 658, 660?
Answer: LCM of 489, 978, 310, 658, 660 is 1097208420.
2. How to calculate the LCM of 489, 978, 310, 658, 660?
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, 978, 310, 658, 660.
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}.