LCM of 382, 192, 219, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 192, 219, 768 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 382, 192, 219, 768. So, keep reading to learn more.
Given numbers are 382,192,219,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,192,219,768 is 10708224.
Find LCM of 382,192,219,768 with Prime Factorization
| 2 | 382, 192, 219, 768 |
| 2 | 191, 96, 219, 384 |
| 2 | 191, 48, 219, 192 |
| 2 | 191, 24, 219, 96 |
| 2 | 191, 12, 219, 48 |
| 2 | 191, 6, 219, 24 |
| 3 | 191, 3, 219, 12 |
| 191, 1, 73, 4 |
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 191 x 1 x 73 x 4 = 10708224
Therefore, the lowest common multiple of 382,192,219,768 is 10708224.
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.
382 x 192 x 219 x 768 = 12335874048
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.
382 : 1, 2, 191, 382
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
219 : 1, 3, 73, 219
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,192,219,768, is 1.
Now, the common factors can be found like this.
382:2x 191
192:2x 2x 2x 2x 2x 2x 3
219:3x 73
768:2x 2x 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 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 12335874048/(1x1152)
LCM = 12335874048/1152
LCM = 10708224
Thus, we can understand that the LCM of 382,192,219,768 is 10708224.
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FAQs on LCM of 382, 192, 219, 768
1. What is the LCM of 382, 192, 219, 768?
Answer: LCM of 382, 192, 219, 768 is 10708224.
2. How to calculate the LCM of 382, 192, 219, 768?
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 382, 192, 219, 768.
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}.