LCM of 194, 465, 415, 509, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 194, 465, 415, 509, 394 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 194, 465, 415, 509, 394. So, keep reading to learn more.
Given numbers are 194,465,415,509,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 194,465,415,509,394 is 750787068390.
Find LCM of 194,465,415,509,394 with Prime Factorization
| 2 | 194, 465, 415, 509, 394 |
| 5 | 97, 465, 415, 509, 197 |
| 97, 93, 83, 509, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 97 x 93 x 83 x 509 x 197 = 750787068390
Therefore, the lowest common multiple of 194,465,415,509,394 is 750787068390.
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.
194 x 465 x 415 x 509 x 394 = 7507870683900
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.
194 : 1, 2, 97, 194
465 : 1, 3, 5, 15, 31, 93, 155, 465
415 : 1, 5, 83, 415
509 : 1, 509
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,465,415,509,394, is 1.
Now, the common factors can be found like this.
194:2x 97
465:3x 5x 31
415:5x 83
509:509
394:2x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 7507870683900/(1x10)
LCM = 7507870683900/10
LCM = 750787068390
Thus, we can understand that the LCM of 194,465,415,509,394 is 750787068390.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 194, 465, 415, 509, 394
1. What is the LCM of 194, 465, 415, 509, 394?
Answer: LCM of 194, 465, 415, 509, 394 is 750787068390.
2. How to calculate the LCM of 194, 465, 415, 509, 394?
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 194, 465, 415, 509, 394.
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}.