LCM of 394, 978, 352, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 978, 352, 326 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, 978, 352, 326. So, keep reading to learn more.
Given numbers are 394,978,352,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,978,352,326 is 33909216.
Find LCM of 394,978,352,326 with Prime Factorization
| 2 | 394, 978, 352, 326 |
| 163 | 197, 489, 176, 163 |
| 197, 3, 176, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 163 x 197 x 3 x 176 x 1 = 33909216
Therefore, the lowest common multiple of 394,978,352,326 is 33909216.
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 978 x 352 x 326 = 44217617664
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
978 : 1, 2, 3, 6, 163, 326, 489, 978
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
326 : 1, 2, 163, 326
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,978,352,326, is 2.
Now, the common factors can be found like this.
394:2x 197
978:2x 3x 163
352:2x 2x 2x 2x 2x 11
326:2x 163
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 163 = 652
Therefore, the value for common factors is 652.
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 = 44217617664/(2x652)
LCM = 44217617664/1304
LCM = 33909216
Thus, we can understand that the LCM of 394,978,352,326 is 33909216.
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FAQs on LCM of 394, 978, 352, 326
1. What is the LCM of 394, 978, 352, 326?
Answer: LCM of 394, 978, 352, 326 is 33909216.
2. How to calculate the LCM of 394, 978, 352, 326?
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, 978, 352, 326.
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}.