Find the LCM of 646, 760, 480, 921, 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 646, 760, 480, 921, 660. So, keep reading to learn more.
Given numbers are 646,760,480,921,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,760,480,921,660 is 523570080.
Find LCM of 646,760,480,921,660 with Prime Factorization
2 | 646, 760, 480, 921, 660 |
2 | 323, 380, 240, 921, 330 |
2 | 323, 190, 120, 921, 165 |
3 | 323, 95, 60, 921, 165 |
5 | 323, 95, 20, 307, 55 |
19 | 323, 19, 4, 307, 11 |
17, 1, 4, 307, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 17 x 1 x 4 x 307 x 11 = 523570080
Therefore, the lowest common multiple of 646,760,480,921,660 is 523570080.
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.
646 x 760 x 480 x 921 x 660 = 143248773888000
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
921 : 1, 3, 307, 921
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 646,760,480,921,660, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
760:2x 2x 2x 5x 19
480:2x 2x 2x 2x 2x 3x 5
921:3x 307
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 2x 2x 2x 3x 3x 5x 5x 19 = 273600
Therefore, the value for common factors is 273600.
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 = 143248773888000/(1x273600)
LCM = 143248773888000/273600
LCM = 523570080
Thus, we can understand that the LCM of 646,760,480,921,660 is 523570080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 646, 760, 480, 921, 660?
Answer: LCM of 646, 760, 480, 921, 660 is 523570080.
2. How to calculate the LCM of 646, 760, 480, 921, 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 646, 760, 480, 921, 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}.