LCM of 394, 345, 192, 782, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 345, 192, 782, 204 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 394, 345, 192, 782, 204. So, keep reading to learn more.
Given numbers are 394,345,192,782,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,345,192,782,204 is 73945920.
Find LCM of 394,345,192,782,204 with Prime Factorization
| 2 | 394, 345, 192, 782, 204 |
| 2 | 197, 345, 96, 391, 102 |
| 3 | 197, 345, 48, 391, 51 |
| 17 | 197, 115, 16, 391, 17 |
| 23 | 197, 115, 16, 23, 1 |
| 197, 5, 16, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 23 x 197 x 5 x 16 x 1 x 1 = 73945920
Therefore, the lowest common multiple of 394,345,192,782,204 is 73945920.
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.
394 x 345 x 192 x 782 x 204 = 4163451079680
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.
394 : 1, 2, 197, 394
345 : 1, 3, 5, 15, 23, 69, 115, 345
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
782 : 1, 2, 17, 23, 34, 46, 391, 782
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,345,192,782,204, is 1.
Now, the common factors can be found like this.
394:2x 197
345:3x 5x 23
192:2x 2x 2x 2x 2x 2x 3
782:2x 17x 23
204:2x 2x 3x 17
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 3x 3x 17x 23 = 56304
Therefore, the value for common factors is 56304.
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 = 4163451079680/(1x56304)
LCM = 4163451079680/56304
LCM = 73945920
Thus, we can understand that the LCM of 394,345,192,782,204 is 73945920.
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FAQs on LCM of 394, 345, 192, 782, 204
1. What is the LCM of 394, 345, 192, 782, 204?
Answer: LCM of 394, 345, 192, 782, 204 is 73945920.
2. How to calculate the LCM of 394, 345, 192, 782, 204?
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 394, 345, 192, 782, 204.
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}.