Find the LCM of 384, 365, 138, 960, 212 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 384, 365, 138, 960, 212. So, keep reading to learn more.
Given numbers are 384,365,138,960,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 384,365,138,960,212 is 170855040.
Find LCM of 384,365,138,960,212 with Prime Factorization
2 | 384, 365, 138, 960, 212 |
2 | 192, 365, 69, 480, 106 |
2 | 96, 365, 69, 240, 53 |
2 | 48, 365, 69, 120, 53 |
2 | 24, 365, 69, 60, 53 |
2 | 12, 365, 69, 30, 53 |
3 | 6, 365, 69, 15, 53 |
5 | 2, 365, 23, 5, 53 |
2, 73, 23, 1, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 2 x 73 x 23 x 1 x 53 = 170855040
Therefore, the lowest common multiple of 384,365,138,960,212 is 170855040.
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.
384 x 365 x 138 x 960 x 212 = 3936500121600
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.
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
365 : 1, 5, 73, 365
138 : 1, 2, 3, 6, 23, 46, 69, 138
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
212 : 1, 2, 4, 53, 106, 212
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,365,138,960,212, is 1.
Now, the common factors can be found like this.
384:2x 2x 2x 2x 2x 2x 2x 3
365:5x 73
138:2x 3x 23
960:2x 2x 2x 2x 2x 2x 3x 5
212:2x 2x 53
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 2x 3x 3x 5 = 23040
Therefore, the value for common factors is 23040.
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 = 3936500121600/(1x23040)
LCM = 3936500121600/23040
LCM = 170855040
Thus, we can understand that the LCM of 384,365,138,960,212 is 170855040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 384, 365, 138, 960, 212?
Answer: LCM of 384, 365, 138, 960, 212 is 170855040.
2. How to calculate the LCM of 384, 365, 138, 960, 212?
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 384, 365, 138, 960, 212.
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}.