LCM of 179, 346, 985, 307, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 179, 346, 985, 307, 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 179, 346, 985, 307, 394. So, keep reading to learn more.
Given numbers are 179,346,985,307,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 179,346,985,307,394 is 18728531930.
Find LCM of 179,346,985,307,394 with Prime Factorization
| 2 | 179, 346, 985, 307, 394 |
| 197 | 179, 173, 985, 307, 197 |
| 179, 173, 5, 307, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 197 x 179 x 173 x 5 x 307 x 1 = 18728531930
Therefore, the lowest common multiple of 179,346,985,307,394 is 18728531930.
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.
179 x 346 x 985 x 307 x 394 = 7379041580420
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.
179 : 1, 179
346 : 1, 2, 173, 346
985 : 1, 5, 197, 985
307 : 1, 307
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,346,985,307,394, is 1.
Now, the common factors can be found like this.
179:179
346:2x 173
985:5x 197
307:307
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 197 = 394
Therefore, the value for common factors is 394.
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 = 7379041580420/(1x394)
LCM = 7379041580420/394
LCM = 18728531930
Thus, we can understand that the LCM of 179,346,985,307,394 is 18728531930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 179, 346, 985, 307, 394
1. What is the LCM of 179, 346, 985, 307, 394?
Answer: LCM of 179, 346, 985, 307, 394 is 18728531930.
2. How to calculate the LCM of 179, 346, 985, 307, 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 179, 346, 985, 307, 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}.