LCM of 368, 713, 960, 192
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 713, 960, 192 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 368, 713, 960, 192. So, keep reading to learn more.
Given numbers are 368,713,960,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,713,960,192 is 684480.
Find LCM of 368,713,960,192 with Prime Factorization
| 2 | 368, 713, 960, 192 |
| 2 | 184, 713, 480, 96 |
| 2 | 92, 713, 240, 48 |
| 2 | 46, 713, 120, 24 |
| 2 | 23, 713, 60, 12 |
| 2 | 23, 713, 30, 6 |
| 3 | 23, 713, 15, 3 |
| 23 | 23, 713, 5, 1 |
| 1, 31, 5, 1 |
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 23 x 1 x 31 x 5 x 1 = 684480
Therefore, the lowest common multiple of 368,713,960,192 is 684480.
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.
368 x 713 x 960 x 192 = 48362618880
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
713 : 1, 23, 31, 713
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
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,713,960,192, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
713:23x 31
960:2x 2x 2x 2x 2x 2x 3x 5
192:2x 2x 2x 2x 2x 2x 3
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 2x 3x 23 = 70656
Therefore, the value for common factors is 70656.
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 = 48362618880/(1x70656)
LCM = 48362618880/70656
LCM = 684480
Thus, we can understand that the LCM of 368,713,960,192 is 684480.
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FAQs on LCM of 368, 713, 960, 192
1. What is the LCM of 368, 713, 960, 192?
Answer: LCM of 368, 713, 960, 192 is 684480.
2. How to calculate the LCM of 368, 713, 960, 192?
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 368, 713, 960, 192.
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}.