LCM of 193, 394, 466, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 193, 394, 466, 672 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 193, 394, 466, 672. So, keep reading to learn more.
Given numbers are 193,394,466,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,394,466,672 is 5953176096.
Find LCM of 193,394,466,672 with Prime Factorization
| 2 | 193, 394, 466, 672 |
| 193, 197, 233, 336 |
Multiply the prime numbers at the bottom and the left side.
2 x 193 x 197 x 233 x 336 = 5953176096
Therefore, the lowest common multiple of 193,394,466,672 is 5953176096.
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.
193 x 394 x 466 x 672 = 23812704384
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.
193 : 1, 193
394 : 1, 2, 197, 394
466 : 1, 2, 233, 466
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,394,466,672, is 1.
Now, the common factors can be found like this.
193:193
394:2x 197
466:2x 233
672:2x 2x 2x 2x 2x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 23812704384/(1x4)
LCM = 23812704384/4
LCM = 5953176096
Thus, we can understand that the LCM of 193,394,466,672 is 5953176096.
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FAQs on LCM of 193, 394, 466, 672
1. What is the LCM of 193, 394, 466, 672?
Answer: LCM of 193, 394, 466, 672 is 5953176096.
2. How to calculate the LCM of 193, 394, 466, 672?
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 193, 394, 466, 672.
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}.