Find the LCM of 168, 326, 400, 489, 960 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 168, 326, 400, 489, 960. So, keep reading to learn more.
Given numbers are 168,326,400,489,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,326,400,489,960 is 5476800.
Find LCM of 168,326,400,489,960 with Prime Factorization
2 | 168, 326, 400, 489, 960 |
2 | 84, 163, 200, 489, 480 |
2 | 42, 163, 100, 489, 240 |
2 | 21, 163, 50, 489, 120 |
3 | 21, 163, 25, 489, 60 |
5 | 7, 163, 25, 163, 20 |
163 | 7, 163, 5, 163, 4 |
7, 1, 5, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 163 x 7 x 1 x 5 x 1 x 4 = 5476800
Therefore, the lowest common multiple of 168,326,400,489,960 is 5476800.
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.
168 x 326 x 400 x 489 x 960 = 10284115968000
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
326 : 1, 2, 163, 326
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
489 : 1, 3, 163, 489
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,326,400,489,960, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
326:2x 163
400:2x 2x 2x 2x 5x 5
489:3x 163
960:2x 2x 2x 2x 2x 2x 3x 5
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 2x 3x 3x 5x 163 = 1877760
Therefore, the value for common factors is 1877760.
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 = 10284115968000/(1x1877760)
LCM = 10284115968000/1877760
LCM = 5476800
Thus, we can understand that the LCM of 168,326,400,489,960 is 5476800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 168, 326, 400, 489, 960?
Answer: LCM of 168, 326, 400, 489, 960 is 5476800.
2. How to calculate the LCM of 168, 326, 400, 489, 960?
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 168, 326, 400, 489, 960.
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}.