Find the LCM of 886, 630, 990, 732, 131 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 886, 630, 990, 732, 131. So, keep reading to learn more.
Given numbers are 886,630,990,732,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 886,630,990,732,131 is 49064580180.
Find LCM of 886,630,990,732,131 with Prime Factorization
2 | 886, 630, 990, 732, 131 |
3 | 443, 315, 495, 366, 131 |
3 | 443, 105, 165, 122, 131 |
5 | 443, 35, 55, 122, 131 |
443, 7, 11, 122, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 443 x 7 x 11 x 122 x 131 = 49064580180
Therefore, the lowest common multiple of 886,630,990,732,131 is 49064580180.
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.
886 x 630 x 990 x 732 x 131 = 52989746594400
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.
886 : 1, 2, 443, 886
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
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,630,990,732,131, is 1.
Now, the common factors can be found like this.
886:2x 443
630:2x 3x 3x 5x 7
990:2x 3x 3x 5x 11
732:2x 2x 3x 61
131:131
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 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 52989746594400/(1x1080)
LCM = 52989746594400/1080
LCM = 49064580180
Thus, we can understand that the LCM of 886,630,990,732,131 is 49064580180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 886, 630, 990, 732, 131?
Answer: LCM of 886, 630, 990, 732, 131 is 49064580180.
2. How to calculate the LCM of 886, 630, 990, 732, 131?
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 886, 630, 990, 732, 131.
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}.